The core of bicapacities and bipolar games

Lijue Xie () and Michel Grabisch
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Lijue Xie: CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique

Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL

Abstract: Bicooperative games generalize classical cooperative games in the sense that a player is allowed to play in favor or against some aim, besides non participation. Bicapacities are monotonic bicooperative games, they are useful in decision making where underlying scales are of bipolar nature, i.e., they distinguish between good/satisfactory values and bad/unsatisfactory ones. We propose here a more general framework to represent such situations, called bipolar game. We study the problem of finding the core of such games, i.e., theset of additive dominating games.

Keywords: fuzzy measure; bicapacity; cooperative game; bipolar scale; core (search for similar items in EconPapers)
Date: 2007-05
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Published in Fuzzy Sets and Systems, 2007, 158 (9), pp.1000-1012. ⟨10.1016/j.fss.2006.12.007⟩

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Working Paper: The core of bicapacities and bipolar games (2007)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:cesptp:halshs-00187162

DOI: 10.1016/j.fss.2006.12.007

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