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A Uni¯ed Approach to the Puri¯cation of Nash Equilibria in Large Games


  • Carmona, Guilherme


We present a puri¯cation result for incomplete information games with a large ¯nite number of players that allows for compact metric spaces of actions and types. This result is then used to generalize the puri¯cation theorems of Schmeidler (1973), Rashid (1983) and Kalai (2004). Our proofs are elementary and rely on the Shapley-Folkman theorem.

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  • Carmona, Guilherme, 2006. "A Uni¯ed Approach to the Puri¯cation of Nash Equilibria in Large Games," FEUNL Working Paper Series wp491, Universidade Nova de Lisboa, Faculdade de Economia.
  • Handle: RePEc:unl:unlfep:wp491

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    1. Carmona, Guilherme, 2004. "On the purification of Nash equilibria of large games," Economics Letters, Elsevier, vol. 85(2), pages 215-219, November.
    2. Balder, Erik J., 2002. "A Unifying Pair of Cournot-Nash Equilibrium Existence Results," Journal of Economic Theory, Elsevier, vol. 102(2), pages 437-470, February.
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