Existence of fuzzy cores and generalizations of the K–K–M–S theorem

Jiuqiang Liu and Hai-Yan Tian

Journal of Mathematical Economics, 2014, vol. 52, issue C, 148-152

Abstract: In this paper, we provide some fuzzy extensions to the well-known K–K–M–S theorem and Zhou’s open K–K–M–S theorem. As an application, we will use one of these results to give a proof for the fuzzy extension to the well-known Scarf’s core existence theorem, which can be used to give another proof for the non-emptiness of the fuzzy core of a pure exchange economy introduced by Florenzano.

Keywords: Cores; Fuzzy cores; Balanced collections; NTU games; NTU fuzzy games; K–K–M–S theorem (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:52:y:2014:i:c:p:148-152

DOI: 10.1016/j.jmateco.2014.01.008

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