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On the Purification of Nash Equilibria of Large Games

  • Carmona, Guilherme

We consider Salim Rashids asymptotic version of David Schmeidlers theorem on the purification of Nash equilibria. We show that, in contrast to what is stated, players payoff functions have to be selected from an equicontinuous family in order for Rashids theorem to hold. That is, a bound on the diversity of payoffs is needed in order for such asymptotic result to be valid.

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File URL: http://fesrvsd.fe.unl.pt/WPFEUNL/WP2003/wp436.pdf
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Paper provided by Universidade Nova de Lisboa, Faculdade de Economia in its series FEUNL Working Paper Series with number wp436.

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Length: 6 pages
Date of creation: 2003
Date of revision:
Handle: RePEc:unl:unlfep:wp436
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  1. Khan, M. Ali & Rath, Kali P. & Sun, Yeneng, 1997. "On the Existence of Pure Strategy Equilibria in Games with a Continuum of Players," Journal of Economic Theory, Elsevier, vol. 76(1), pages 13-46, September.
  2. Rashid, Salim, 1983. "Equilibrium points of non-atomic games : Asymptotic results," Economics Letters, Elsevier, vol. 12(1), pages 7-10.
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