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

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  • Yang, Zhe
  • Yuan, George Xianzhi

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.

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  • Yang, Zhe & Yuan, George Xianzhi, 2019. "Some generalizations of Zhao’s theorem: Hybrid solutions and weak hybrid solutions for games with nonordered preferences," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 94-100.
    • Handle: RePEc:eee:mateco:v:84:y:2019:i:c:p:94-100
    DOI: 10.1016/j.jmateco.2019.07.007
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    Cited by:

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