On the nonemptiness of the α-core of discontinuous games: Transferable and nontransferable utilities

Metin Uyanık

Journal of Economic Theory, 2015, vol. 158, issue PA, 213-231

Abstract: The nonemptiness of the α-core of games with continuous payoff functions was proved by Scarf (1971) for nontransferable utilities and by Zhao (1999) for transferable utilities. In this paper we present generalizations of their results to games with possibly discontinuous payoff functions. Our handling of discontinuity is based on Reny's (1999) better-reply-security concept. We present examples to show that our generalizations are nonvacuous.

Keywords: NTU α-core; TU α-core; Discontinuous games (search for similar items in EconPapers)
JEL-codes: C62 D50 D82 G13 (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:jetheo:v:158:y:2015:i:pa:p:213-231

DOI: 10.1016/j.jet.2015.04.005

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