The equilibrium properties of obvious strategy profiles in games with many players

Enxian Chen Bin Wu Hanping Xu

Papers from arXiv.org

Abstract: This paper studies the equilibrium properties of the ``obvious strategy profile'' in large finite-player games. Each player in such a strategy profile simply adopts a randomized strategy as she would have used in a symmetric equilibrium of an idealized large game. We show that, under a continuity assumption, (i) obvious strategy profiles constitute a convergent sequence of approximate symmetric equilibria as the number of players tends to infinity, and (ii) realizations of such strategy profiles also form a convergent sequence of (pure strategy) approximate equilibria with probability approaching one. Our findings offer a solution that is easily implemented without coordination issues and is asymptotically optimal for players in large finite games. Additionally, we present a convergence result for approximate symmetric equilibria.

Date: 2024-10
New Economics Papers: this item is included in nep-gth, nep-mic and nep-spo
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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:2410.22144

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