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A Short Proof of Reny's Existence Theorem for Payoff Secure Games

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Author Info
Pavlo Prokopovych () (Kyiv School of Economics and Kyiv Economics Institute)

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Abstract

A short proof of Reny (1999)'s equilibrium existence theorem for payoff secure games is provided. At the heart of the proof lies the concept of a multivalued mapping with the local intersection property. By means of the Fan-Browder collective fixed-point theorem, we show an approximate equilibrium existence theorem which covers a number of known games. Reny's theorem follows from it straightforwardly.

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File URL: http://kse.org.ua/RePEc/pdf/KSE_dp12.pdf
File Format: application/pdf
File Function: December 2008
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Publisher Info
Paper provided by Kyiv School of Economics in its series Discussion Papers with number 12.

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Date of creation: Dec 2008
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Handle: RePEc:kse:dpaper:12

Note: Under review in International Journal of Game Theory
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Related research
Keywords: Discontinuous game; payoff security; transfer lower semicontinuity; approximate Nash equilibrium; Reny's theorem;

Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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  1. Monteiro, Paulo Klinger & Page Jr, Frank H., 2007. "Uniform payoff security and Nash equilibrium in compact games," Journal of Economic Theory, Elsevier, vol. 134(1), pages 566-575, May. [Downloadable!] (restricted)
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