Počet záznamů: 1

Core of Coalition Games on MV-algebras

  1. 1.
    0359839 - UTIA-B 2012 RIV GB eng J - Článek v odborném periodiku
    Kroupa, Tomáš
    Core of Coalition Games on MV-algebras.
    Journal of Logic and Computation. Roč. 21, č. 3 (2011), s. 479-492 ISSN 0955-792X
    Grant CEP: GA MŠk 1M0572; GA ČR GA102/08/0567
    Výzkumný záměr: CEZ:AV0Z10750506
    Klíčová slova: coalition game * core * MV-algebra
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.611, rok: 2011
    http://library.utia.cas.cz/separaty/2011/MTR/kroupa-0359839.pdf http://library.utia.cas.cz/separaty/2011/MTR/kroupa-0359839.pdf

    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.
    Trvalý link: http://hdl.handle.net/11104/0197545