Characterizing Pure-strategy Equilibria in Large Games
Haifeng Fu,
Ying Xu and
Luyi Zhang
MPRA Paper from University Library of Munich, Germany
Abstract:
In this paper, we divide the players of a large game into countable different groups and assume that each player’s payoff depends on her own action and the distribution of actions in each of the subgroups. Focusing on the interaction between Nash equilibria and the best response correspondence of the players, we characterize the pure-strategy equilibria in three settings of such large games, namely large games with countable actions, large games with countable homogeneous groups of players and large games with an atomless Loeb agent space. Furthermore, we also present a counterexample showing that a similar characterization result does not hold for large games under a more general setting.
Keywords: Large games; Pure strategy equilibrium; Characterization (search for similar items in EconPapers)
JEL-codes: C72 (search for similar items in EconPapers)
Date: 2007-10-12
New Economics Papers: this item is included in nep-gth
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Citations: View citations in EconPapers (2)
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https://mpra.ub.uni-muenchen.de/8025/2/MPRA_paper_8025.pdf revised version (application/pdf)
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Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:7514
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