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Myopic and farsighted stable sets in 2-player strategic-form games

Francis Bloch and Anne van den Nouweland

Games and Economic Behavior, 2021, vol. 130, issue C, 663-683

Abstract: This paper revisits the analysis of stable sets in two-player strategic-form games. Our two main contributions are (i) to establish a connection between myopic stable sets and the stable matchings of an auxiliary two-sided matching problem and (ii) to identify a structural property of 2-player games, called “the block partition property,” which helps characterize the strategy profiles that are indirectly dominated by a fixed profile. Our analysis also generalizes and unifies existing results on myopic and farsighted stable sets in 2-player games.

Keywords: Strategic-form game; Myopic stable set; Farsighted stable set; Core (search for similar items in EconPapers)
JEL-codes: C71 C72 C79 (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:gamebe:v:130:y:2021:i:c:p:663-683

DOI: 10.1016/j.geb.2021.10.004

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