A weak α-core existence theorem of games with nonordered preferences and a continuum of agents

Zhe Yang and Xian Zhang

Journal of Mathematical Economics, 2021, vol. 94, issue C

Abstract: Inspired by Kajii (1992) and Askoura (2011, 2017), we introduce the notion of the weak α-core for games with nonordered preferences and a continuum of agents. First, we extend the work of Kajii (1992) to games with spaces of strategies defined on Hausdorff topological vector spaces. Furthermore, we prove the nonemptiness of the weak α-core. Finally, we establish the relations between normal-form games, games with nonordered preferences and games with pseudo-utilities.

Keywords: Weak α-core; Existence; Nonordered preferences; A continuum of agents (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:94:y:2021:i:c:s0304406820301415

DOI: 10.1016/j.jmateco.2020.102464

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