Abstract
This is a reprint of Technical Report 274, IMMSSS, Stanford, 1978. Substantial parts of it have appeared in P. Dubey, A. Mas-Colell, and M. Shubik: “Efficiency Properties of Strategic Market Games: An Axiomatic Approach,” J. Econ. Theory 22, 1980, and in A. Mas-Colell: “On a Theorem of Schmeidler, ” J. Math. Econ., 1984. Needless to say, the author is gratified and thankful that the editors have found enough valuable left to request its publication in this volume.
This work was supported by National Science Foundation Grant SOC7706000 at the Institute for Mathematical Studies in the Social Sciences, Stanford University. I am indebted to Mr. Ch. Kahn for detecting a gap in the proof of an earlier version and, for useful discussion and suggestions, to P. Dubey, W. Heller, L. Hurwicz, A. Postlewaite, M. Shubik, W. Thomson, and the participants of the IMSSS seminar where this paper was presented in July 1978. The usual caveat applies.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Aumann, R., 1963, “Economies with a Continuum of Agents,” Econometrica.
Cournot, A., 1929, Recherches Sur Les Principes Mathématiques de la Théorie des Richesse, Hachette, Paris. Translated as Researches into the Mathe-matical Principles of the Theory of Wealth, Macmillan, New York.
Debreu, G., 1952, “A Social Equilibrium Existence Theorem,” Proc. Natl. Acad. Sci. USA 38, 886–893.
Dubey, P. and Shapley, L., 1977, “Non-Cooperative Exchange with a Contin-uum of Traders,” Cowles Foundation Discussion Paper No. 447.
Dubey, P. and Shubik, M., 1978, “Strategic Market Games and Market Mech-anisms,” Cowles Foundation Discussion Paper, forthcoming.
Gabszewicz, J. and Vial, J. P., 1971, “Oligopoly à la Cournot in General Equilibrium Theory,” J. Econ. Theory.
Green, E., 1978, “Non-Cooperative Price Taking in Large Dynamic Markets,” Working Paper No. 228, Princeton University.
Hammond, P., 1976, “Individual Incentive Compatibility in Large Economies,” University of Essex Discussion Paper No. 88.
Hart, 0., 1977, “Monopolistic Competition with Differentiated Commodities,” Cambridge, mimeo.
Hart, S., Hildenbrand, W., and Kohlberg, E., 1974, “On Equilibrium Allocation as Distributions on the Commodity Space,” J. Math. Econ 1, 159–166.
Hildenbrand, W., 1974, Core and Equilibrium of a Large Economy,Princeton University Press.
Hurwicz, L., 1959, “Optimality and Informational Efficiency in Resource Allocation Processes,” in Mathematical Methods in the Social Sciences, Arrow, Karlin and Suppes, Stanford University Press.
Jaynes, J., Okuno, M., and Schmeidler, D., 1976, “Efficiency in an Atomless Economy with Fiat Money,” Int. Econ. Rev., 124–128.
Mas-Colell, A., 1975, “A Model of Equilibrium with Differentiated Commodities,” J. Math. Econ. 2.
Novshek, W. and Sonnenschein, H. 1978, “Cournot and Walras,” Working Paper No. 224, Princeton University.
Pazner, E. and Schmeidler, D., 1976, “Non-Walrasian Equilibria and Arrow- Debreu Economies,” University of Illinois, Urbana, Illinois, mimeo.
Postlewaite, A. and Schmeidler, D., 1978, “Approximate Efficiency of NonWalrasian Nash Equilibria,” Econometrica 46:1, 127–137.
Schmeidler, P., 1973, “Equilibrium Points of Non-Atomic Games,” J. Stat. Phys. 7:4, 295–309.
Shapley, L., 1974, “Non-Cooperative General Exchange,” RAND Corporation Report No. p-5286.
Shubik, M., 1972, “Commodity Money, Oligopoly, Credit and Bankruptcy in a General Equilibrium Model,” West. Econ. J. 10.
Thomson, W., 1978, “Nash Equilibria of Walras and Lindhal Mechanism,” University of Minnesota, mimeo.
Yosida, K., 1971, Functional Analysis, Springer-Verlag, New York and Berlin.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Mas-Colell, A. (1991). An Axiomatic Approach to the Efficiency of Non-Cooperative Equilibrium in Economies with a Continuum of Traders. In: Khan, M.A., Yannelis, N.C. (eds) Equilibrium Theory in Infinite Dimensional Spaces. Studies in Economic Theory, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-07071-0_15
Download citation
DOI: https://doi.org/10.1007/978-3-662-07071-0_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08114-9
Online ISBN: 978-3-662-07071-0
eBook Packages: Springer Book Archive