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Variational Stability Of Social Nash Equilibria

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Author Info
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)

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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.

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Publisher Info
Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Game Theory Review.

Volume (Year): 10 (2008)
Issue (Month): 01 ()
Pages: 17-24
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Handle: RePEc:wsi:igtrxx:v:10:y:2008:i:01:p:17-24

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Related research
Keywords: Nash equilibrium; social Nash equilibrium; variational stability; abstract economy; sequentially pseudocontinuous functions; 91A10; 34D10; 49K40; 58K55;

Find related papers by JEL classification:
B4 - Schools of Economic Thought and Methodology - - Economic Methodology
C0 - Mathematical and Quantitative Methods - - General
C6 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming
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 - - Business Economics

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This page was last updated on 2009-10-17.

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