PRESENTATION  OF THE PUBLICATIONS BY DOMAINS [Pdf File]

 

 

Topics in General Equilibrium Theory

 

 

Books and Proceedings

 

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).

 

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

 

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).

 

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).

 

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.

 

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

 

Equilibrium Theory with Satiated Consumers

 

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

 

 

Spatial Economies

 

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

 

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).

 

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).

 

Incomplete Markets and Asymmetric Information

 

Existence of Financial Equilibria: Transfert Spaces of Fixed Dimensions, Working paper Université Paris 1, (1997) (with P. Bich). [Pdf File]

 

Fixed-point-like Theorems on Subspaces, Working paper, Université Paris 1, (1997) (with P. Bich). [Pdf File]

 

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

 

Existence, Optimality and Uniqueness

 

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

 

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

 

 

Equilibrium Theory with Increasing Returns

 

 

Presentation

 

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).

 

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

 

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.

 

Existence of Equilibrium

 

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

 

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.

 

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

 

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

 

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).

 

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

 

Equilibria and Pareto Optima

 

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

 

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). [Pdf File]

 

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

 

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

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

 

 

Dynamic Models in Economics

 

 

Decentralized Planning Procedures

 

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

 

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

 

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

 

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.

 

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.

 

Neutrality of planning procedures,  Journal of Mathematical Economics, 11  (1983),  141-160. [Pdf File]

 

Exchange Processes

 

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

 

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). [Pdf File]

 

Dynamic Processes

 

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

 

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

 

 

Fixed-Point Theory and Equilibrium Theory

 

 

Classical (Convex) Fixed-Point Theory

 

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

 

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).

 

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).

 

Fixed-Point Theory on Nonconvex Domains

 

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

 

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). [Pdf File]

 

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

 

Euler Characterictic and Fixed-Point Theorems, Positivity, 6 3 (2002)  243 –260 . [Pdf File]

 

Fixed-point-like Theorems on Subspaces, Working paper, Université Paris 1, (1997) (with P. Bich). [Pdf File]

 

Approximation Methods and Fixed-Point Theory

 

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). [Pdf File]

 

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). [Pdf File]

 

 

Mathematical Programming

 

 

Sensitivity Analysis in Mathematical Programming

 

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).

 

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

 

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

 

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

 

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

 

Approximation and Representation of Nonconvex Sets

 

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).

 

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).

 

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

 

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

 

Fatou’s lemma and Integration

 

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

 

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

 

Dynamic Processes

 

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

 

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