Core of Coalition Games on MV-algebras

Journal Article

Kroupa Tomáš

serial: Journal of Logic and Computation vol.21, 3 (2011), p. 479-492

research: CEZ:AV0Z10750506

project(s): 1M0572, GA MŠk, GA102/08/0567, GA ČR

keywords: coalition game, core, MV-algebra

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abstract (eng):

Coalition games are generalized to semisimple MV-algebras. Coalitions are viewed as [0,1]-valued functions on a set of players, which enables to express a degree of membership of a player in a coalition. Every game is a real-valued mapping on a semisimple MV-algebra. The goal is to recover the so-called core: a set of final distributions of payoffs, which are represented by measures on the MV-algebra. A class of sublinear games are shown to have a non-empty core and the core is completely characterized in certain special cases. The interpretation of games on propositional formulas in Łukasiewicz logic is introduced.

RIV: BA