Characterizing core stability with fuzzy games

Evan Shellshear
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Evan Shellshear: Center for Mathematical Economics, Bielefeld University

No 410, Center for Mathematical Economics Working Papers from Center for Mathematical Economics, Bielefeld University

Abstract: This paper investigates core stability of cooperative, TU games via a fuzzy extension of the totally balanced cover of a TU game. The stability of the core of the fuzzy extension of a game, the concave extension, is shown to reflect the core stability of the original game and vice versa. Stability of the core is then shown to be equivalent to the existence of an equilibrium of a certain correspondence.

Keywords: Fuzzy coalition; Stable set; Cooperative game; Core; Core stability; Fuzzy game (search for similar items in EconPapers)
Date: 2011-08-16
New Economics Papers: this item is included in nep-gth
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Persistent link: https://EconPapers.repec.org/RePEc:bie:wpaper:410

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