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

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Carmona, Guilherme

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Abstract

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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Paper provided by Universidade Nova de Lisboa, Faculdade de Economia in its series FEUNL Working Paper Series with number wp491.

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Length: 50 pages
Date of creation: 2006
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Handle: RePEc:unl:unlfep:wp491

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  1. 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. [Downloadable!] (restricted)
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