Web projektu DAR

Research Centre
Data - Algorithms - Decision Making

Established in 2005 under support of MŠMT ČR (project 1M0572)

Publications

Core of Coalition Games on MV-algebras

Typ:

Jornal article

Authors:

Kroupa T.

Name of journal:

Journal of Logic and Computation

Year:

2011

Number:

3 (2011)

Pages:

479-492

ISSN:

0955-792X

Contact:

Ing. Tomáš Kroupa, Ph.D. (ÚTIA - Oddělení matematické teorie rozhodování)

Keywords:

coalition game, core, MV-algebra

Anotation:

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.