CURRICULUM VITAE [Pdf File]

                                                                                                                       

 

 

 

Bernard CORNET                                                                                                    February 2003

 

 

Born  8 July 1949 Algiers

French Citizen

Married to Sylvie Cornet (born Mary)

Two children: Clara and Alexandre

 

 

 

 

Office                                                                                                                                         Home

 

 

C.E.R.M.S.E.M., CNRS-UMR 8095, Université Paris 1                                                                        39 rue Saint-Placide

Maison des Sciences Economiques                                                                                                                                            75006 Paris

106-112 boulevard de l'Hopital, 75013 Paris                                                                                                     tel:  01 42 22 86 60

tel : (33) 01 44 07 83 00  fax:  (33) 01 44 07 83 01                                                                                                             06 11 63 20 78

E-mail: cornet@univ-paris1.fr                                                                                                                           b.cornet@wanadoo.fr

 

                            

 

 

Positions

 

Professor of  mathematics, Université Paris 1 Panthéon-Sorbonne:                                                                    since  1983

          Full Professor                                                                                                                                                                                since 1991

 

Research Director at CNRS (on leave as)                                                                                                                            2000-2002

 

Visiting Professor, Purdue University and Yale University                                                                                                 2001

 

Research Director of C.O.R.E. (Center for Operations Research and Econometrics) Belgium,
and Full Professor, Université Catholique de Louvain, Belgium:                                                                         1986-1988

 

N.S.F. - C.N.R.S. Visiting Professor,  University of California, Berkeley:                                                               1986

 

Research  Fellow of C.O.R.E., Université Catholique de Louvain, Belgium:                                                1982-1984

 

Professor of mathematics, E.N.S.A.E. (Ecole Nationale de la Statistique

et de  l'Administration Economique), Paris:                                                                                                                        1978-1983

 

Assistant Professor of mathematics, Université Paris 9 Dauphine:                                                                    1974-1978

 

Fullbright Fellow, University of California, Berkeley:                                                                                            1973-1974

 

Ecole Normale Supérieure, Paris:                                                                                                                                              1969-1973

 

 

 


Education

 

Doctorat d'état es-sciences mathématiques, Université Paris 9 Dauphine:                                                               1981

 

PhD in mathematics, Université Paris 9 Dauphine:                                                                                                                 1974

 

Masters of Economics, University of California, Berkeley:                                                                                                  1974

 

Agrégation de mathématiques:                                                                                                                                                               1972

 

Ecole Normale Supérieure:                                                                                                                                                            1969-1973

 

 

 

Editorial Activities

 

Editor in chief:

 

Journal of Mathematical Economics                                                                                                                                         since 1997

 

Associate Editor:

 

Set-Valued Analysis                                                                                                                                                                         since 1991

Annales d'Economie et Statistique                                                                                                                                            since 1992

Convex analysis                                                                                                                                                                                    since 1993

Positivity                                                                                                                                                                                                 since 2000

Publications de la Sorbonne                                                                                                                                                           1997-2001

 

 

 

Member

 

The Econometric Society, Société Mathématique de France, Société de Mathématiques Appliquées et Industrielles, Groupe MODE (Mathématiques de l'Optimisation et de la Décision) of SMAI , American Mathematical Society.

 

 

 

Research and Administrative Activities at the French and International Levels

 

Joint Doctorate with the University of  Timisoara (Roumania)

For the PhD of  Mihaela Topuzu (with M.  Balint):                                                                                                                1999-

 

Joint Doctorate with Cambridge University (England)

For the PhD of  Lionel De Boisdeffre (with C. Hara):                                                                                                           2000-

 

Member of the Hiring Committee of Tunisian University Professors, Tunis                                                    1998,1999

 

Co-organizer of the Yearly European Conference
European Workshop on General Equilibrium Theory
                                                                                                    since 1991

 

Member of the Jury of the Scientific Prize "Eugénie de Rosemond"                                                                                           

Chancellerie des Universités de Paris                                                                                                                                   1993-2000

 

Member of the Executive Committee of ADRES  (Association pour le Développement

de la Recherche  en Economie  et Statististique)                                                                                                              since 1986

 

President of  MODE (Mathematics of Optimization and DEcision)

within SMAI (Société de Mathématiques Appliquées et Industrielles)                                                          1991-1994

 

Member of the Executive Committee of  SMAI                                                                                                                  1991-1994

 

Member of the Executive Committee of  MODE                                                                                                                since 1991

 

Member of the Laboratoire d'Econométrie de l'Ecole Polytechnique                                                                   1988-1994

 

Director of C.O.R.E. (Center for Operations Research and Econometrics) Belgium,
and Professeur  ordinaire, Université Catholique de Louvain, Belgium                                                           1986-1988

 

Member of the Administrative Council of C.O.R.E. ,

Université Catholique de Louvain, Belgium                                                                                                                     since 1988

 

N.S.F.-C.N.R.S. Visiting Professor,  University of California, Berkeley                                                                   1986

 

Research  Fellow of  C.O.R.E., Université Catholique de Louvain, Belgium                                                 1982-1984

 

 

 

Organization of Conferences

 

Session on Arbitrage, SAET, Rodos, Greece                                                                                                      30 June-6 July  2003

 R. Aliprantis, organizer of the SAET Conference

 

Arbitrage and Related Topics, MSE, Université Paris1, Paris                                                                   23-25  June  2003

 (Organization Committee: J.-M. Bonnisseau, T. Chauveau, A . Citanna, B. Cornet (Chair),

E. Jouini, C. Le Van, J.-M. Mèdecin, J.-M. Tallon)

 

Public Economic Theory, PET02, Paris                                                                                                                               4-6 July 2002

 (Organization and Scientific Committee: B. Cornet (Chair), H. Kempf, C. Le Van, M. Wooders)

 

European Workshop on  General Equilibrium Theory , Paris                                                                       18-20 May 2000

 (Comité d’organisation : J.-M. Bonnisseau, B. Cornet, M. Florenzano, M. Florig, P. Gourdel)

 

Summer School in Economic Theory,  La Sorbonne,                                                                                                 1-13 July 1993
(Organization Committee:  C. D'Aspremont, A. D'Autume, J.-M. Bonnisseau,
P.-A. Chiappori, B. Cornet (Chair), G. Debreu, M. Florenzano, J. Gabszewicz,
R. Guesnerie, P.Y. Henin, P. Michel,  
H. Polemarchakis, C. Prechac, J. Thisse).                                                                             

 

“Round Table : Mathematics and Economics,“   European  Congress of Mathematics, Paris                 6 July 1992
(co-organized with Gérard Debreu).                                                                                                                                                      

 

“Mathematical Economics,"  Université Paris 1, European  Congress of Mathematics                      3-4 July 1992
(in collaboration with J.-M. Bonnisseau, G. Debreu, M. Florenzano et H. Polemarchakis)                                  

 

"European Workshop on General Equilibrium Theory,"   Annual Meeting with                                          since 1991
Standing Committee : Y. Balasko, B. Cornet, J.-M. Esteban, J.-M. Grandmont,
 B. Grodal, W. Hildenbrand, A. Kirman, A. Mas Colell, H. Polemarchakis).                                                            

 

“General Equilibrium Theory and Applications,“ C.O.R.E., Université Catholique                       9-10 June 1989
de  Louvain, Belgium (co-organized with W.A. Barnett, C. D’Aspremont,
 J. Gabzcewicz , A. Mas-Colell).                                                                                                                                                                

 

"IVth Workshop on Mathematical Economics,"  C.I.R.M. Marseille-Luminy                                 23-27 May 1988
(co-organized with G. Debreu, L.-A. Gérard-Varet et W. Hildenbrand)                                                                        

 

"Workshop on Increasing Returns,"  C.O.R.E., Université Catholique de Louvain,                          9-10 June 1987
Belgium, (co-organized with J. Drèze)                                                                                                                                                  

 

"Dynamique et économie,"  Université Paris I Panthéon-Sorbonne,                                                           14 Marsh 1984
(co-organized with I. Ekeland)                                                                                                                                                                 

 

"Nonlinear Analysis and Optimization," C.O.R.E., Université Catholique de                               16-17 June 1983
 Louvain, Belgium, (co-organized with V.H. Nguyen et J.-P. Vial)                                                                                   

 

 

Research Contracts, Cooperation and Networks

 

Prime d’encadrement doctorale et de Recherche, Ministère de l’Education Nationale                                      1998-

Joint doctorate with the University of Timisoara (Roumania)

For the PhD of Mihaela Topuzu (with M.  Balint)  :                                                                                                               1999-

 

Joint doctorate with Cambridge University (England)

For the PhD of Lionel De Boisdeffre (with C. Hara)  :                                                                                                          2000-

 

Research Director at CNRS (on leave as)                                                                                                                            2000-2002

 

Chair Blaise Pascal attributed to  Gérard Debreu,  by  the Région Ile-de France
(Scientific and Administrative Responsible)                                                                                                        1998-2000

 

"Mathematical Economics,"                                                                                                                                                           1998-1999
France-Berkeley Cooperation, (co-organized with Gérard Debreu)

 

"Mathematical Economics,"                                                                                                                                                           1995-1996
France-Berkeley Cooperation, (co-organized with Gérard Debreu)

 

Scientific Partnership, Université Paris 1 - INRIA,                                                                                                       1995-1997
Co-organized with Claude  Lemarechal

 

"Equilibrium Theory and Increasing Returns"  (6 months).                                                                                                      1991
Research Contract with the European Community, within SPES program

 

Inperfect Competition and Inceasing Returns"  (3 years)                                                                                              1988-1991
Cooperation   C.N.R.S - C.G.R.I. (Belgium) (with J. Gabszewicz)

 

N.S.F.-C.N.R.S. Visiting Professor                                                                                                                                           1985-1986
(6 months), University of California, Berkeley

 

"Equilibrium Theory and Increasing Returns"  (18 months)                                                                                         1985-1986
Research Contract with the French Commissariat Général du Plan

 

"Market Mechanisms and Decentralized Procedures" (18 months)                                                                        1984-1985
Research Contract with the French Commissariat Général du Plan

 

CORE  Fellowship (Center for Operations Research and Econometrics)                                                            1982-1983
Université Catholique de Louvain, Belgium

 

"Fullbright Fellowship" for one year stay at the University of California, Berkeley             1973-1974

 

Administrative and Research Activities at the Université Paris 1

 

Director et Founder of C.E.R.M.S.E.M. (CEntre de Recherche de Mathématiques, Statistique          since 1984
et Economie Mathématique):

                                                                      Research Center of the Université Paris 1                                                      since 1984

                                                                      Member of ADRES                                                                                                         since 1986

                                                                      Associated with the Phd Program DEA MMME :                                      since 1989

                                                                      Associated with CNRS: EP 1737                                                                           since 1998

                                                                      CNRS-UMR 8095                                                                                                            since 2000

 

Vice-Director of the PhD Program                                                                                                                                           since 2001
Modélisation économique: théorie et applications
                                                                                                                             

 

Director and Founder  of the D.E.A. and the PhD Program                                                                                       1989-2000

Modélisation et méthodes mathématiques en économie                                                                                                                   

 

Member of the Executive Committe of Maison des Sciences Economiques                                                          since 1997

                                                                                                                                                                                                                                              

French Responsible of the Quantitative European Doctoral Program                                                   joining  oct. 2003

(Paris is assiciated with Alivcante, Bielefeld, Copenhagen, Lisbon, Venice and Vienna)

 

President of the Hiring Committee of the Department of Mathematics and Social Sciences              1992-1995

 

Member of the Scientific Council of the Université Paris I                                                                                       1989-2001

 

Member of the Administrative Council of the Université Paris I                                                                         since 2001

 

Director of the Department Mathematics and Social Sciences                                                                                1990-1991


 

DIRECTION OF PHD AND HABILITATION

 

(In the French system, the PhD is a necessary condition  to become  an Assistant Professor,
and  the «Habilitation à Diriger des Recherches» – previously called « Thèse d’état » -
a necessary condition to become and Associate Professor)

 

Habilitations à Diriger des Recherches (HDR) and Thèses d'état

 

DANA Rose-Anne:  "Contributions à la dynamique non-linéaire dans les modèles à horizon infini"

         (Contributions to Nonlinear Dynamics and Infinite Horizon Models)  Thèse d’état
(27  November 1987). Jury: Y. Balasko, B. Cornet, I. Ekeland, J.-M. Lasry, P. Michel, R. Pallu de la Barrière (Chair). (Currently: Associate Professor, Université Paris 9 Dauphine).

 

ABDOU Joseph:  "Fonctions d'effectivité et jeux non-coopératifs"   (11 Marsh 1988).

              (Effectivity Functions and Non-cooperative Games) Thèse d’état
Jury: Y. Balasko, B. Cornet, I. Ekeland (Chair), J.-Y. Jaffray, P. Michel, S. Sorin.

              (Currently:  Full Professor, Université Paris I).

 

THERA Michel: “Contributions à l’analyse non-linéaire“  

              (Contributions to Nonlinear Analysis)  Thèse d’état

              (19 December1988)  Jury : J.-B; Baillon, B. Cornet, A. Damlamian, G. Haddad, J.-M. Lasry (Chair), P. Michel, J.-P. Penot. (Currently: Full Professor, Université de Limoges).

 

BONNISSEAU Jean-Marc: “Théorie de l’équilibre général et ensembles de production non-convexes“

              (Equilibrium Theory with Nonconvex Productions Sets) Habilitation à Diriger des Recherches
(26 January 1990) Jury: A. Auslender, Y. Balasko, M. Balinski, B. Cornet, G. Haddad, R. Guesnerie (Chair), J.M. Lasry. (Currently: Full Professor, Université Paris I).

 

FORGES Françoise: “Contributions à la théorie des jeux à information incomplète“

              (Contributions to Games with Incomplete Information) Habilitation à Diriger des Recherches
(9 Marsh 1992) Jury: J. Abdou, M. Balinski, B. Cornet, I. Ekeland, G. Haddad, J.-F. Mertens, S. Sorin. (Currently: Full Professor, Université de Cergy-Pontoise).

 

JOUINI Elyès: “Contributions à la théorie de l’équilibre général en présence de non-convexités“

              (Contribution to Equilibrium Theory with Nonconvexities) Habilitation à Diriger des Recherches
(9 Marsh 1992) Jury: M. Balinski, J.-M. Bonnisseau, B. Cornet, G. Haddad, I. Ekeland (Chair), J.-M. Lasry, J. Sheinkman. (Currently : Full Professor, Université Paris 9 Dauphine).

 

BOLINTINEANU Dumitru: “Contributions  à l'optimisation à un ou plusieurs critères : théorie et algorithmes“  (Contributions to multicriteria Optimization) Habilitation à Diriger des Recherches

               (21 December 1993) Jury: H. Attouch, D. Azé, B. Cornet, J.-B. Hiriart-Urruty, R. Janin, C. Malivert, M. Théra. (Currently: Associate Professor, Université de Perpignan).

 

BOTTAZZI Jean-Marc: Théorie des marchés financiers : quelques contributions
(Contributions to the Theory of Financial Markets)
Habilitation à Diriger des Recherches
(14 September 2003) Jury: B. Cornet, D. Duffie, G. Debreu, F. Delbaen, I. Ekeland (Chair), N. El Karoui, H.Polemarchakis. (Currently: JP Morgan, New York).

 

PhDs

 

 

BENOIST Joël:  "Ensembles de production non convexes et théorie de l’équilibre général

              (Nonconvex Productions Sets and Equilibrium Theory)

              (9 January 1990). Jury: A. Auslender (Chair), B. Cornet, B. Maurey, C. Michelot, M. Théra.

              (Currently:  Assistant Professor, Université de Limoges).

 

BICH Philippe:  "Modèles d'équilibre en présence  de marchés incomplets"

           (Equilibrium Theory with Incomplete Markets)

            16 décembre 2000, Jury: J.-M. Bonnisseau, B. Cornet, I. Ekeland (Chair), M. Florenzano, C. Horvath, P. Monteiro (Currently: Assistant Professor, Université Paris 9 Dauphine).


 

BONNISSEAU Jean-Marc: "Théorie de l'équilibre : le cas d’ensembles de production non convexes"

              (Equilibrium Theory with Nonconvex Production Sets)

               (3 June 1988). Jury: Y. Balasko, B. Cornet, G. Debreu (Chair), C. Fourgeaud, R. Guesnerie, C. Henry, B. Maurey. (Currently: Full Professor, Université Paris I).

 

BOTTAZZI Jean-Marc:  "Contributions à la théorie de l'équilibre : incertain, et marchés incomplets"

              (Equilibrium Theory, Uncertainty and Incomplete Markets)

               (9 Marsh 1992). Jury: M. Balinski, J.-M. Bonnisseau, B. Cornet, H. Polemarchakis.
(Currently: JP Morgan, New York).

 

CZARNECKI Marc: "Méthodes  d'approximation et théorie des  points fixes"

              (Approximations Methods and Fixed-Point Theory)

               (13 December 1996). Jury: J.-B. Baillon, J.-M. Bonnisseau, F. Clarke (Chair), B. Cornet, G. Haddad, J.-B. Hiriart-Urruty. (Currently: Assistant Professor, Université de Montpellier).

 

GOURDEL Pascal:  "Contributions  à la théorie de l'équilibre général : non-convexités et marchés incomplets"

              (Equilibrium Theory with Nonconvexities and Incomplete Markets)

               (15 February 1994). Jury:  J.-M. Bonnisseau, B. Cornet, M. Florenzano, M. Jeanblanc-Picqué (Chair), H. Polemarchakis. (Currently:  Assistant Professor, Université Paris 1).

 

JOUINI Elyès:  "Ensembles de production non convexes, existence et unicité de l’équilibre"

              (Equilibrium Theory with Nonconvex Production Sets)
(10 February 1989). Jury: Y. Balasko (Chair), B. Cornet, G. Haddad, C. Henry, J.-M. Lasry.

              Nathalie Demassieux Prize for the PhD.
(Currently:  Full Professeur, Université Paris 9 Dauphine).

 

MEDECIN Jean-Philippe: "Théorie de l'équilibre général  :  étude de problèmes de localisation"

              (A General Equilibrium Model of Spatial Economies)
(
27 January 2000)  Jury: R. Aliprantis, J.-M. Bonnisseau, B. Cornet, M. Florenzano, J. Thisse (Chair), K. Vind (Currently: Assistant Professor, Université Paris 1).

 

MARTINS DA ROCHA Filipe: "Equilibre général avec une double infinité de consommateurs et de biens"

           (Equilibrium Theory with an infinite numer of consumers and commodities)   
(3 June  2002) Jury: R. Aliprantis, J.-M. Bonnisseau, F. Clarke, B. Cornet, G. Haddad, W. Hildenbrand (Chair), M. Machina (Currently: Post Doc, Université Paris 1, IMPA, Brésil and Purdue University).

 

 

PhDs in progress

 

ANGELONI Laura: « Arbitrage, équilibre et asymétrie de l’information »

             (Arbitrage, Equilibrium and Asymmetric information)
             Joint PhD with the University of Perugia

 

DE BOISDEFRE  Lionel:  "Asymetrie de l’information et marches incomplets" 

           (Asymmetric Information and Incomplete Markets)
Joint PhD with Cambridge University (England)

TOPUZU Mihaela:  "Théorie de l’équilibre et externalités"
(Equilibrium Theory with externalities) 
 
(Joint PhD with the Université of Timisoara, Roumania).

 

YILDIZ  Aysegul:  "Théorie de l’équilibre sans hypothèse de nonsatiation"

           (Equilibrium Theory with Possibly Satiated Consumers)
 
(Currently: Assistant Professor, Galatassary, Turkey).

 


LIST OF PUBLICATIONS [Pdf Files]

 

Books and Proceedings of Conferences

 

1.       Nonlinear Analysis and Optimization, Guest Editor of the Special Issue of Mathematical Programming Study, vol. 30, North-Holland, Amsterdam, 1987,  with V.H. Nguyen and  J.-P. Vial (182 pages).

 

2.       General Equilibrium Theory and Increasing Returns, Guest Editor of the Special Issue of the Journal of Mathematical Economics, North-Holland, Amsterdam, vol. 17  Nos 2/3  1988 (315 pages).

 

3.       Contributions to Operations Research and Economics : The  XXth Anniversary of CORE,  The M.I.T Press, Cambridge, 1989,  co-editor with  H. Tulkens (561 pages).

 

4.       Modélisation et décisions économiques, De Boeck Wesmael Belgium, 1990,  co-editor with H. Tulkens
(227 pages).

 

5.       General Equilibrium Theory and Applications, International Symposia in Economic Theory and Econometrics ;  Cambridge University Press, 1991,  co-editor with  W.A. Barnett, C. D’Aspremont, J. Gabszewicz, A. Mas-Colell (480 pages).

 

6.       Special Issue on Mathematical Economics, Guest Editor of the Special Issue of Positivity, Kluwer, Dordrecht, vol. 6  Nos 3,  2002 (167 pages) (with R. Aliprantis and R. Tourky).

 

7.       Special Issue on the Interface between Economic Theory and Econometrics, Guest Editor of the Special Issue of Journal of Econometrics,  (with B. Barnett, R. Aliprantis and S. Durlauf) in progress.

 

Thèses

 

8.       Topologies sur les fermés d'un espace métrique et notions de voisinages d’agents économiques, (Topologies on the Space of Closed Subspaces of a Metric Space and Neighboring Economic Agents)
PhD in Mathematics, Université Paris IX  Dauphine (1974).

 

9.       Contributions à la théorie mathématique des mécanismes dynamiques d'allocation des ressources,
(Contributions to the Mathematical Theory of Dynamical Mechanisms of Resource Allocation)
Thèse de doctorat d'état, Université Paris IX  Dauphine (1981). 
Jury : J.-P. Aubin, A. Cellina, F. Clarke, Ky Fan (Chair), C. Henry, J.-M. Lasry, C. Simon.

 

Research Contracts and Internal Publications

 

10.   Théorie de l’équilibre et rendements croissants (Equilibrium Theory and Increasing Returns), Research Contract with the French  Commissariat Général du Plan, Comité Micro-Décisions et Politique Economique, 1987, joint with J.-M. Bonnisseau  (70 pages).

 

11.   Mécanismes de marché et procédures décentralisées (Market Mechanisms and Decentralized Procedures) Research Contract with the French Commissariat Général du Plan, Comité Micro-Décisions et Politique Economique, 1988, (120 pages).

 

12.    Théorie de l'équilibre et rendements croissants (Equilibrium Theory and Increasing Returns), Research Contract with the European Community,  SPES  No ERBSPESCT915006, 1992 (90 pages).

 

 

13.     Cours de mathématiques, (Course of Mathematics) ENSAE (1980) (300 pages).

 

14.   Dynamique qualitative et applications économiques, (Dynamics and Economic Models) Course of the Master Program, Université Paris 1, 1991, (110 pages).

 

15.   Théorèmes de points fixes et applications, (Fixed-Point Theorems and Applications) Course of the PhD Program "Modélisation et Méthodes Mathématiques en Economie, Université Paris 1 (1993), (41 pages).

 

16.   Equilibrium Theory with Commodity and Financial Markets, Course taught at Purdue University and in the PhD Program "Modélisation et Méthodes Mathématiques en Economie, Université Paris 1 (2002), (150 pages).

 

17.   Exercises and Problems of Mathematics, ENSAE  1978-1983, (227 pages).

 

18.   Exercices and Problems of the Book: "Applied Abstract Analysis" by  J.-P. Aubin, Wiley Publication (1977) (with H. Moulin).

 

19.   Exercices and Problems of the Book: "Applied Functional Analysis"  by  J.-P. Aubin, Wiley Publication (1978) (with J.-M. Lasry)


 

Research Articles 

 

20.    Paris avec handicaps et théorèmes de surjectivité de correspondances, Comptes Rendus de l'Académie des  Sciences, série A  281  (1975)  479--482.

 

21.    Règles de décision en théorie des jeux et théorèmes de points fixes, Comptes Rendus de l'Académie des Sciences, série A  282  (1976)  11--14  (with J.-P. Aubin).

 

22.    Un théorème de surjectivité pour une procédure de planification, Comptes  Rendus de l'Académie des Sciences, série A  282  (1976)  1375--1378  (with J.-M. Lasry).

 

23.    An abstract theorem for planning procedures,  Lecture Notes in Economics and Mathematical Systems, 144  (1977)  53--59.

 

23.    Accessibilité des optima de Pareto par des processus monotones, Comptes Rendus de l'Académie des Sciences, série A  285 (1977)  641--645.

 

24.    Sur la neutralité d'une procédure de planification, Cahiers du Séminaire d'Econométrie, 19  (1977) 71--81.

 

25.    On planning procedures defined by multivalued differential equations, in  Systèmes Dynamiques et Modèles Economiques, Colloque International du  C.N.R.S.  259  (1978)  111--122.

 

26.    Monotone planning procedures and accessibility of Pareto optima,  in  New Trends in Dynamic System  Theory and Economics,  Aoki et Marzollo (eds.), Academic Press  (1979)  337--349.

 

27.    Existence of slow solutions for a class of differential inclusions, Journal of Mathematical Analysis and Applications, 96  (1983)  130--147.

 

28.    Neutrality of planning procedures,  Journal of Mathematical Economics, 11  (1983),  141-160.

 

29.    Lipschitzian solutions of perturbed  nonlinear programming problems, SIAM Journal of Control and Optimization, 24  (1986)  1123--1137  (with J.-P. Vial).

 

30.    Optimization: sensitivity analysis, in Systems and Control Encyclopedia, Theory, Technology, Applications, M. G. Singh (ed.), Pergamon Press, Oxford  (1987)  3547--3551.

 

31.    Lipschitz properties of solutions in mathematical programming, Journal of Optimization Theory and  Applications, 53  (1987)  407--427  (with G. Laroque).

 

32.    Regularity properties of open tangent cones,  Mathematical Programming Study, 30  (1987),  17--33.

 

33.    Théorèmes de viabilité pour les inclusions différentielles du second ordre, Israel Journal of Mathematics,  57  (1987)  225--238  (with G. Haddad).

 

34.    General equilibrium theory and increasing returns: presentation, Journal of Mathematical Economics, 17  (1988)  103--118.

 

35.    Existence of equilibria when firms follow bounded losses pricing rules, Journal of Mathematical  Economics, 17  (1988)  119--147  (with J.-M. Bonnisseau).

 

36.    Tarification au coût marginal et Pareto optimalité, Mélanges économiques, Essais en l'honneur d'Edmond Malinvaud, P. Champsaur et al (eds.), Economica, Paris  (1988)  29--70. Translated as: Marginal Cost Pricing and Pareto Optimality, Essays in Honor of Edmond Malinvaud, P. Champsaur et al (eds.), The M.I.T. Press, Cambridge (1990).

 

37.    Valuation equilibrium and Pareto optimum in nonconvex economies,  Journal of  Mathematical Economics, 17  (1988)  293--308  (with J.-M. Bonnisseau).

 

38.    Topological properties of the  attainable set in a non-convex production economy, Journal of Mathematical Economics, 17  (1988)  275--292.

 

39.    Existence of equilibria in economies with increasing returns, Contributions to Operations Research and  Economics: The XXth Anniversary of CORE, B. Cornet and H. Tulkens (eds.), The M.I.T.  Press, Cambridge  (1989)  79--97.

 

40.    Marginal cost pricing and Pareto optimality, Essays in Honor of Edmond Malinvaud, P. Champsaur et al (eds.),  The M.I.T.  Press, Cambridge   (1990)  13--52.

 

41.    Walrasian exchange processes,"  in Economic Decision-Making: Games, Econometrics and Optimisation, Contributions  in Honor of Jacques H. Drèze, J. J. Gabszewicz et al (eds.), North Holland, Amsterdam  (1990)  3--13 (with Paul Champsaur).

 

42.    La théorie de l'équilibre général de Arrow-Debreu : présentation et extension au cadre non-convexe,  Annales de l'Institut  Henri Poincaré : Analyse Nonlinéaire (1990) 161-181.

 

43.    Existence of marginal cost pricing equilibria in an economy with several nonconvex firms, Econometrica 58 (1990)  661--682  (with J.-M. Bonnisseau).

 

44.    Fixed-point theorems and Morse's lemma for Lipschitzian functions, Journal of Mathematical Analysis  and  Applications, 151  (1990)  532--549  (with J.-M. Bonnisseau).

 

45.    Existence of marginal cost pricing equilibria: the nonsmooth case, International Economic Review, 31 (1990)  685--708  (with J.-M. Bonnisseau).

 

46.    Equilibrium Theory with Increasing Returns: the Existence Problem, General  Equilibrium Theory and Applications,  W. Barnett et al (eds.), International Symposia in Economic Theory and Econometrics, Cambridge University Press,  (1991) 65--82 (with J.-M. Bonnisseau).

 

47.    Mathematics and Economics,  in First European Congress of Mathematics, Vol. III,   A. Joseph, F. Mignot, F. Murat, B. Prum, R. Rentschler (eds.), Progress in Mathematics, Birkhauser Verlag (1994) 431--450.

 

48.    Représentation lisse de sous-ensembles épi-lipschitziens de Rn, Comptes Rendus de l'Académie des Sciences de Paris, 325 Série I, (1997)  475--480 (with M.-O. Czarnecki).

 

49.    Approximation normale de sous-ensembles épi-lipschitziens de Rn,  Comptes Rendus de l'Académise des Sciences de Paris, 325 Série I, (1997)  538--588 (with M.-O. Czarnecki).

 

50.    Méthodes d’approximation en théorie du point-fixe et de l’équilibre, Comptes Rendus de l'Académise des Sciences de Paris, 327  Série I, (1998) 917--922 (with M.-O. Czarnecki).

 

51.    Smooth approximations of epi-Lipschizian sets, SIAM Journal of Control and Optimization, 37 (1999) 710--730 (with M.-O. Czarnecki).

 

52.    Smooth representations of epi-Lipschitzian subsets of Rn,  Nonlinear Analysis, 37  (1999) 139--160 (with M.-O. Czarnecki).

 

53.    Necessary and sufficient conditions for the existence of (generalized) equilibria on a compact epi-Lipschitzian domain," in  Communications on Applied Nonlinear Analysis, 7 (2000) 21--53 (with M.-O. Czarnecki).

 

54.    Approximation methods in equilibrium and fixed-point theory: proximally nondegenerate sets," Proceedings  9th  Belgian-French-German Conference on Optimization," Namur, Lecture Notes in Economics and Mathematical Sciences, Springer Verlag, Eds. V.H. Nguyen, J.-J. Strodiot and P. Tossings, (2000)  91--110  (with M.-O. Czarnecki).

 

55.    Existence of generalized equilibria of correspondences,  Nonlinear  Analysis, 44  5  (2001)  555--573 (with M.-O. Czarnecki).

 

56.    Arbitrage and Price Revelation with Asymmetric Information and Incomplete Markets, Journal of Mathematical Economics, 38 4 (2002)  393--410   (with L. De Boisdeffre).

 

57.    Introduction to the Special Issue on Mathematical Economics, Positivity, 6 3 (2002) 201--204  (with  C.-D. Aliprantis, and R. Tourky).

 

58.    Economic Equilibrium : Optimality and Price Decentralization, Positivity, 6 3 (2002) 205-241  (with  C.-D. Aliprantis, and R. Tourky).

 

59.    Euler Characterictic and Fixed-Point Theorems, Positivity, 6 3 (2002)  243 –260 .

 

60.    Fatou’s Lemma for Gelfand Integrable Mappings, Positivity, 6 3 (2002)  297 –315  (with J.-P. Medecin).

 

61.    Equilibrium Theory with a Measure Space of Possibly Satiated Consumers, Journal of Mathematical Economics, (2003)  accepted  (with M. Topuzu and A. Yildiz).

 

62.    A General Equilibrium Model of Spatial Economies: the Case of Infinite Locations, Economic Theory, (2003)  accepted (with J.-P. Médecin).

 

 

Miscellaneous

 

63.    A General Equilibrium Model of Spatial Economies: the Case of Finite Locations, Cahiers de la MSE, Série Bleue du CERMSEM, 2002.101   (with J.-P. Médecin).

 

64.    Existence of Equilibria in Economies with a Continuum of Consumers and Consumption Dependent Endowments,  Cahiers de la MSE, Série Bleue du CERMSEM, 2002.100   (with  J.-P. Médecin).

 

65.    Fatou’s Lemma for Unbounded Gelfand Integrable Mappings, Cahiers de la MSE, Série Bleue du CERMSEM, 2002.109   (with  F. Martins Da Rocha).

 

66.    Fixed-point-like Theorems on Subspaces, Working paper, Université Paris 1, (1998) (with P. Bich).

 

67.    Existence of Financial Equilibria: Transfert Spaces of Fixed Dimensions, Working paper Université Paris 1, (1998) (with P. Bich).

 

68.    A General Equilibrium Model of Spatial Economies,  Working paper, Université Paris 1 (1997)  (with  J.-P. Medecin).

 

69.    Separation Theorems and Supporting Price Theorems for Nonconvex sets, Working paper, Université  Paris 1   (with R.-T. Rockafellar) (1995).

 

69.    The Second Welfare Theorem in Nonconvex Economies,   Working paper,  Université  Paris 1   (1995).

 

70.    A Remark on the Uniqueness of Equilibria, Working paper, Université Paris 1 (1988).

 

71.    Fixed-point and Surjectivity Theorems for Correspondences,  Working Paper CEREMADE 7521, Université Paris IX Dauphine  (1975).

 

72.    A Remark on Tangent Cones,  Working Paper INSEE, Paris (1979).

 

73.    Gradient Methods and Exchange Processes,  Working Paper INSEE, Paris 7905  (1979).

 

74.    Lipschitz Properties of Constrained Demand Functions and Constrained Maximizers, Working Paper   INSEE, Paris (1980)  (with G. Laroque).

 

75.    Regularity Properties of Tangent and Normal Cones,  Working Paper CEREMADE, Université Paris IX  Dauphine  (1981).


 

COMMUNICATIONS TO CONGRESSES

 

 

1.     Congrès d'Analyse Convexe, Murat-le-Quaire, France, Marsh 1976.

 

2.     Colloque International du C.N.R.S. :  Systèmes Dynamiques et Modèles Economiques,  Luminy, France
 8-13 July 1976.

 

3.     Journées de la Société Mathématique de France : Economie Mathématique, Strasbourg,  France
19-21 May 1977.

 

4.     International Workshop on Dynamics and Economics,  Varenne, Italy, July 1977.

 

5.     N.A.T.O. International Meeting: New Trends in Dynamic System Theory and Economics,  International Center for Mechanical Sciences, Udine, Italy, 12-23 September 1977 .

 

6.     Conference  on Dynamics in Economics and Management Science, European Institute for Advanced Studies in Management, Bruxelles, Belgium, 24-26 May 1978.

 

7.     Mathematical Economics,  Université de Paris-Créteil, May 1979.

 

8.     Journées de l'Institut de Recherches de Mathématiques de la Décision,"  Université Paris IX Dauphine, 6-8 June  1979 .

 

9.     Séminaire Annuel de la Société Mathématique du Canada: Ordinary Differential Equations and Applications,"  Toronto, Canada, 21 July-12 August 1979 .

 

10.   European Meeting of the Econometric Society,"  Athens, Greece, 3-6 September 1979.

 

11.   Congrès : Mathématiques et Grandes Ecoles,"  Toulouse, France, June 1980.

 

12.   Optimisation : Théorie et Algorithmes, Confolans, France, Marsh 1981.

 

13.   Workshop on Mathematical Economics,  University of California, Berkeley, July 1982.

 

14.   XIth  International Symposium on Mathematical Programming,  Bonn, R.F.A., 23-26 août 1982.

 

15.   Recent Developments in Mathematical Economics,  University of Essex, Colchester, Angleterre, 
31 août-3 septembre 1982  (Existence of equilibria in economies with increasing returns).

 

16.   Nonlinear Analysis and Optimization,  Université Catholique de Louvain, Belgique, 16-17 juin 1983.

 

17.   XIth I.F.I.P. Conference on System Modelling and Optimization,  Copenhague, Danemark, 25-29 juillet 1983.

 

18.   European Meeting of the Econometric Society, Pise, Italie, 29 août-2 septembre 1983.

 

19.   Third International Conference on Mathematical Economics,  C.I.R.M., Marseille-Luminy,
 28-31 mai 1984 .

 

20.   Third Franco-German Conference on Optimization,  C.I.R.M., Marseille-Luminy, 2-6 juillet 1984.

 

21.   I.A.S.A. Congress on Optimization Methods,  Sopron, Hongrie, 18-21 septembre 1984.

 

22.   XIIth  International Symposium on  Mathematical Programming,  The Massachussetts Institute of Technology, Cambridge, U.S.A.,  5-9 août 1985 .

 

23.   Fifth World Congress of the Econometric Society,  Massachussetts Institute of Technology, Cambridge, U.S.A., 17-24 août 1985.

 

24.   Conference on Increasing Returns to Scale,  The Cowles Foundation, Yale University, New Haven, U.S.A., 26-28 August 1985.

 

25.   Fixed-point Theory and its Applications, International Congress of Mathematicians, Berkeley, U.S.A., 4-6 August 1986 .

 

26.   European Meeting of the Econometric Society, Budapest, Hungary,  1-5 September 1986.

 

27.   Workshop in Mathematical Economics,  San Miniato,  Italy, 7-13 September 1986.

 

28.   Mathematical Economics,  Oberwolfach, Germany, 11-17 January 1987 .

 

29.   International Symposium for the XXth Anniversary of the Foundation of CORE,  Louvain-la-Neuve, Belgium, 19-21 January 1987.

 

30.   Workshop on Increasing Returns,  CORE, Université Catholique de Louvain, 9-10 June 1987.

 

31.   The International Conference on Game Theory and Applications, The Ohio State University, Colombus, 18-24 June  1987.

 

32.   European Meeting of the Econometric Society, Copenhagen, Denmark, 24-28 August 1987.

 

33.   Colloque Mathématiques à venir,"  Ecole Polytechnique, Palaiseau, 9-10 December 1987.

 

34.   Third Conference on Economic Theory and Related Mathematical Methods,  Indian Statistical Institute, Delhi Centre, New Delhi, India, 1-4 February 1988.

 

35.   Fourth International Conference on Mathematical Economics, C.I.R.M., Marseille-Luminy, France, 23-27 May 1988.

 

36.   European Meeting of the Econometric Society,  Bologne, Italie,  29 August-2 September 1988.

 

37.   Fifth Franco-German Conference on Optimization, Varetz, France, 3-8 October 1988.

 

38.   International Colloquium On Fixed-Point Theorems and Applications, CIRM, Marseille-Luminy, France, 5-10 June 1989 .

 

39.   General Equilibrium Theory and Applications,  CORE, Université Catholique de Louvain, Belgium, 9-10 June 1989.

 

40.   European Meeting of the Econometric Society,  Munich, Germany, 4-6 September 1989.

 

41.   Segundo Congresso Franco Chileano y Latinoamericano de Matematicas Aplicadas, Santiago, Chili 4-8 December 1989.

 

42.   Workshop on Operations Research-Microeconomics Interfaces, Bruxelles, Belgium, 15-16 January 1990.

 

43.   Sixth World Congress of the Econometric Society,  Barcelona, Spain, 22-28 August 1990.

 

44.   Congrès franco-russe d'optimisation,  CIRM Marseille-Luminy, France,  October 1990.

 

45.   Conference of the Society for Economic Dynamics and Control,  Capri, Italy 18-20 June 1991.

 

46.   14th International Symposium on Mathematical Programming,  Amsterdam, 5-9 August 1991.

 

47.   European Meeting of the Econometric Society, Cambridge, England, 2-6 September 1991.

 

48.   Workshop on increasing returns,  Alicante, Spain, 12-14 December 1991.

 

49.   Journées d'analyse fonctionnelle et probabilités, Lyon, France, 19-20 January 1992.

 

50.   Colloque Satellite du Congrès Européen de Mathématiques : Economie mathématique, Paris, 3-4 July 1992.

 

51.   Table Ronde : Mathématiques et économie,  Paris, 6 July 1992.

 

52.   Mathématiques de l'Optimisation et de la Décision,  Premières Journées du Groupe MODE-SMAI, Perpignan, November 1992.

 

53.   General Equilibrium : the  40th Anniversary Conference,  CORE, Louvain-La-Neuve, 4  June 1993.

 

54.   Summer School in Economic Theory,  La Sorbonne, Paris, 1-13 July 1993.

 

55.   18th Symposium über Operations Research, Universität zu Koln, Germany, 1-3 September 1993.

 

56.   Approximation and Optimisation, Havana, Cuba, 26 September-1st October 1993.

 

57.   Mathématiques de l'Optimisation et de la Décision, Deuxièmes Journées du Groupe MODE-SMAI, Clermont-Ferrand, 25-27 November 1993 (co-organisateur).

 

58.   Workshop on Optimisation, Santiago, Chili, 6-7 December 1993.

 

59.   Mathematical economics,  Mathematisches Forschungsinstitut Oberwolfach, Germany, 27 February-5 Marsh 1994.

 

60.   Economie Mathématique et Finance Mathématique,  Tunis, 21-24 juin 1994.

 

61.   7ème Colloque Franco-Allemand d'Optimisation,  Dijon, France, 27 juin-2 juillet 1994.

 

62.   European Meeting of the Econometric Society,  Maastricht, Hollande,  septembre 1994.

 

63.   Journées ECOS,”  Université de Limoges, 26-27 janvier 1995.

 

64.   Mathématiques de l'Optimisation et de la Décision,  3eme Journées du Groupe MODE-SMAI, Brest, 23-25 mars 1995 (co-organisateur).

 

65.   European Workshop on General equilibrium Theory,  Barcelona, Espagne, 2-3 juin 1995.

 

66.   L'analyse non-lisse et ses applications,  Pau, 27-29  juin 1995.

 

67.   2nd International Conference on Operations Research, Havana, Cuba, 3-5 octobre 1995.

 

68.   3rd International Conference on Approximation and Optimisation,  Puebla, Mexique, 8-13 octobre 1995.

 

69.   Mathématiques de l'Optimisation et de la Décision,  4eme Journées du Groupe MODE-SMAI, Limoges, 21-23  mars 1996.

 

70.   Journéee d'Analyse, Lyon, 9 mai 1996.

 

71.   8th French-German Conference on Optimization,  Trier, Germany, 21-26 juillet 1996.

 

72.   IIIrd Catalan Days of Applied Mathematics, Lleida, Espagne, 27-29 novembre 1996.

 

73.   Journées d'Optimisation Franco-Chiliennes, IHP, Paris, 23-24 janvier 1997.

 

74.   Third Conference on Operations Research,  Havana, Cuba, 10-15 Mars 1997.

 

75.   Mathématiques de l'Optimisation et de la Décision,  5ème Journées du Groupe MODE-SMAI, IHP-Université de Paris 1, 19-21  mars 1997.

 

76.   European Workshop on General equilibrium Theory,  CORE, Louvain-la-Neuve, Belgique, 23-25 mai 1997 (co-organisateur).

 

77.   Rencontres Mathématiques du LACO,  Université de Limoges, 12-13 June 1997.

 

78.   Journée  sur les Points Fixes, Université de Paris 1, 16 June 1997.

 

79.   Workshop on Fixed Point Theory, Kazimierz Dolny, Poland, 23-28 June 1997.

 

80.   16th International Symposium on Mathematical Programming,”  Lausanne, Switzerland, 24-29 August 1997.

 

81.   IV Catalan Days of Applied Mathematics, Tarragonna, Spain, 11-13 February 1998.

 

82.   Journéees Franco-Chiliennes d'optimisation, Avignon, France, 19-20 February 1998.

 

83.   Mathématiques de l'Optimisation et de la Décision,  6èmes Journées du Groupe MODE-SMAI, Poitiers, France, 19-21 Marsh 1998.

 

84.   European Workshop on General equilibrium Theory,  Barcelona, Spain,  May 1998.

 

85.   European Meeting of the Econometric Society,  Berlin, Germany, 2-5 September 1998.

 

86.   9th Belgian-French-German Conference on Optimization,  Namur, Belgium, 7-11 September 1998.

 

87.   Mathématiques de l'Optimisation et de la Décision,  7èmes Journées du Groupe MODE-SMAI, Orléans, France  , 18-20 Marsh 1999.

 

88.   European Conference of Equilibrium Theory,  Copenhagen, Denmark, 20-23 May 1999.

 

89.   Fondamenti e Sviluppi della Matematica per l’Economia,  Napoli, Italy, 30 May-13 June 1999.

 

90.   Rodos Economic Theory Conference,  Rodos, Greece, 1-8 July 1999.

 

91.   Conference on Economic Design,  Istanbul, Turkey, 22-27 June 2000.

 

92.   World Congress of the Econometric Society, Seattle, USA, August 2000.

 

93.   NSF-NBER Workshop on Equilibrium Theory, Brown University, USA, Marsh 2001.

 

94.   Decentralization Conference, Northwestern University, May 2001.

 

95.   SAET Meeting in Economic Theory, Ischia, Italy, July 2001.

 

96.   Journées du Groupe MODE-SMAI, Montpellier, France, 27-29 Marsh 2002.

 

97.   European Conference of Equilibrium Theory,  Athens, Greece, 17-18 May 2002.

 

98.   Public Economic Theory, Paris, 4-6 July 2002.

 

99.   Latin American Meeting of the Econometric Society, Sao Paulo, Brazil, 25-27 July 2002.

 

100.     Conference  in honor of Philippe Michel, Paris, 8-9 November 2002.

 

101.     LEA Workshop on « Optimization, Games and Economic Applications, Barcelona, Spain, 12-13 December 2002.                                                                                                                                                                                                     

 

102.     Game Theory 2003, Mombay, India, 8-10 January 2003.

 

103.     Journées du Groupe MODE-SMAI, Pau, France, 27-29 March 2003.

 

104.     Conference, University of Illinois at Urbana-Champaign, 18-20 April 2003.

 

105.     12th European Workshop on General Equilibrium Theory, Bielefeld, Germany, 30 May-1st June  2003.

 

106.     Arbitrage and Related Topics, Paris, 23-25 June  2003.

 

107.     SAET Conference on Economics, Rodos, Greece, 30 June-4 July.

 

108.     SAET Conference on Positivity, Rodos, Greece, 30 June-6 July 2003.