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Approximate social nash equilibria and applications

Author

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  • Vincenzo Scalzo

Abstract

In this paper, a concept of approximate social Nash equilibria is considered and an existence result is given when the strategic spaces of the players are not compact. These have been obtained using an approximate fixed point theorem. As an application of the existence of such approximate social Nash equilibria, sufficient conditions for the existence of a suitable approximate walrasian equilibrium in finite economies are obtained. Among others things, it is shown that the approximate walrasian equilibrium here considered is approximatively weakly efficient.

Suggested Citation

  • Vincenzo Scalzo, 2005. "Approximate social nash equilibria and applications," Quaderni DSEMS 03-2005, Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia.
    • Handle: RePEc:ufg:qdsems:03-2005
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    File URL: http://www.economia.unifg.it/sites/sd01/files/allegatiparagrafo/29-11-2016/SNA-Wr.pdf
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    References listed on IDEAS

    as
    1. Postlewaite, A & Schmeidler, David, 1978. "Approximate Efficiency of Non-Walrasian Nash Equilibria," Econometrica, Econometric Society, vol. 46(1), pages 127-135, January.
    2. Brânzei, R. & Morgan, J. & Scalzo, V. & Tijs, S.H., 2002. "Approximate Fixed Point Theorems in Banach Spaces with Applications in Game Theory," Discussion Paper 2002-17, Tilburg University, Center for Economic Research.
    3. Postlewaite, Andrew & Schmeidler, David, 1981. "Approximate Walrasian Equilibria and Nearby Economies," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 22(1), pages 105-111, February.
    4. Starr, Ross M, 1969. "Quasi-Equilibria in Markets with Non-Convex Preferences," Econometrica, Econometric Society, vol. 37(1), pages 25-38, January.
    5. Robert M. Anderson & M. Ali Khan & Salim Rashid, 1982. "Approximate Equilibria with Bounds Independent of Preferences," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(3), pages 473-475.
    6. Hildenbrand, Werner & Schmeidler, David & Zamir, Shmuel, 1973. "Existence of Approximate Equilibria and Cores," Econometrica, Econometric Society, vol. 41(6), pages 1159-1166, November.
    7. Anderson, Robert M, 1982. "A Market Value Approach to Approximate Equilibria," Econometrica, Econometric Society, vol. 50(1), pages 127-136, January.
    8. Tijs, S.H. & Torre, A. & Brânzei, R., 2003. "Approximate fixed point theorems," Other publications TiSEM 4739567c-c848-4176-9784-e, Tilburg University, School of Economics and Management.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Abstract economy; approximate social Nash equilibrium; finite economy; approximate walrasian equilibrium; approximate fixed point theorems.;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

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