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Variational Stability Of Social Nash Equilibria

Author

Listed:
  • JACQUELINE MORGAN

    (Dipartimento di Matematica e Statistica, Università di Napoli Federico II, via Cinthia 80126 Napoli, Italy)

  • VINCENZO SCALZO

    (Dipartimento di Matematica e Statistica, Università di Napoli Federico II, via Cinthia 80126 Napoli, Italy)

Abstract

New results on the variational stability of social Nash equilibria are obtained using the class of sequentially pseudocontinuous functions. This class of functions strictly includes the class of sequentially continuous functions and finds a natural motivation in the framework of Choice and Economic Theory since it characterizes the continuity of the preference relations on first countable topological spaces. We investigate the connections with previous results and we show that it is not possible to improve our results further on.

Suggested Citation

  • Jacqueline Morgan & Vincenzo Scalzo, 2008. "Variational Stability Of Social Nash Equilibria," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 10(01), pages 17-24.
    • Handle: RePEc:wsi:igtrxx:v:10:y:2008:i:01:n:s0219198908001741
    DOI: 10.1142/S0219198908001741
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    References listed on IDEAS

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    1. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
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    Citations

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    Cited by:

    1. Giuseppe De Marco & Maria Romaniello, 2013. "Games Equilibria and the Variational Representation of Preferences," CSEF Working Papers 336, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    2. Giuseppe De Marco & Maria Romaniello, 2013. "On the Stability of Equilibria in Incomplete Information Games under Ambiguity," CSEF Working Papers 332, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    3. Axel Dreves, 2018. "How to Select a Solution in Generalized Nash Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 178(3), pages 973-997, September.
    4. Scalzo, Vincenzo, 2012. "Discontinuous stable games and efficient Nash equilibria," Economics Letters, Elsevier, vol. 115(3), pages 387-389.
    5. Francisco Facchinei & Christian Kanzow, 2010. "Generalized Nash Equilibrium Problems," Annals of Operations Research, Springer, vol. 175(1), pages 177-211, March.
    6. Ohnishi, Kazuhiro, 2018. "Non-Altruistic Equilibria," MPRA Paper 88347, University Library of Munich, Germany.

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    More about this item

    Keywords

    Nash equilibrium; social Nash equilibrium; variational stability; abstract economy; sequentially pseudocontinuous functions; 91A10; 34D10; 49K40; 58K55;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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