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

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  • Liu, Jiuqiang
  • Tian, Hai-Yan

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.

Suggested Citation

  • Liu, Jiuqiang & Tian, Hai-Yan, 2014. "Existence of fuzzy cores and generalizations of the K–K–M–S theorem," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 148-152.
    • Handle: RePEc:eee:mateco:v:52:y:2014:i:c:p:148-152
    DOI: 10.1016/j.jmateco.2014.01.008
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    References listed on IDEAS

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