Some generalizations of Zhao’s theorem: Hybrid solutions and weak hybrid solutions for games with nonordered preferences

Zhe Yang and George Xianzhi Yuan

Journal of Mathematical Economics, 2019, vol. 84, issue C, 94-100

Abstract: Inspired by Zhao (1992), we first define the hybrid solution of games with nonordered preferences and prove its existence theorem in Hausdorff topological vector spaces. Second, we introduce the open graph L-majorized condition for games with nonordered preferences. We shall provide an existence theorem of hybrid solutions for open graph L-majorized games. Third, we introduce the notion of weak hybrid solutions for games with infinitely many players. By strengthening some assumptions, we also obtain the existence theorem of weak hybrid solutions for games with infinitely many players.

Keywords: (Weak) hybrid solution; Existence; Infinitely many players; Nonordered preferences; Open graph L-majorized game (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:84:y:2019:i:c:p:94-100

DOI: 10.1016/j.jmateco.2019.07.007

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