Core of Coalition Games on MV-algebras

0359839 - ÚTIA 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. E-ISSN 1465-363X
Grant CEP: GA MŠMT 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

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