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Nonatomic Games with Limited Anonymity

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  • Lorenzo Rocco

    () (University of Milan and MPSE- Toulouse)

Abstract

After a brief survey of the literature about the existence of a Nash Equilibrium in the class of the nonatomic games, we prove the existence of an equilibrium in the class of the nonatomic games where the players' payoff depends over the average strategy of finitely many convex and disjoint subsets of players. Finally, several applications are shown, in the context of the economics of science and namely about the problem of the topic choice made by the set of the researchers, represented as a continuum.

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File URL: http://dipeco.economia.unimib.it/repec/pdf/mibwpaper39.pdf
File Function: First version, 2001
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Bibliographic Info

Paper provided by University of Milano-Bicocca, Department of Economics in its series Working Papers with number 39.

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Length: 27 pages
Date of creation: Nov 2001
Date of revision: Nov 2001
Handle: RePEc:mib:wpaper:39

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  1. Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1997. "Pure Strategy Nash Equilibrium in a Group Formation Game with Positive Externalities," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 161-182, October.
  2. F. Forges & E. Minelli, 1996. "Self-fulfilling mechanisms and rational expectations," THEMA Working Papers 96-05, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  3. Rath, Kali P, 1992. "A Direct Proof of the Existence of Pure Strategy Equilibria in Games with a Continuum of Players," Economic Theory, Springer, vol. 2(3), pages 427-33, July.
  4. Dubey, Pradeep & Shapley, Lloyd S., 1994. "Noncooperative general exchange with a continuum of traders: Two models," Journal of Mathematical Economics, Elsevier, vol. 23(3), pages 253-293, May.
  5. Mas-Colell, Andreu, 1984. "On a theorem of Schmeidler," Journal of Mathematical Economics, Elsevier, vol. 13(3), pages 201-206, December.
  6. Paula E. Stephan, 1996. "The Economics of Science," Journal of Economic Literature, American Economic Association, vol. 34(3), pages 1199-1235, September.
  7. Shapley, Lloyd S & Shubik, Martin, 1977. "Trade Using One Commodity as a Means of Payment," Journal of Political Economy, University of Chicago Press, vol. 85(5), pages 937-68, October.
  8. Aumann, Robert J., 1976. "An elementary proof that integration preserves uppersemicontinuity," Journal of Mathematical Economics, Elsevier, vol. 3(1), pages 15-18, March.
  9. Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1997. "Equilibria in a Model with Partial Rivalry," Journal of Economic Theory, Elsevier, vol. 72(1), pages 225-237, January.
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