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Core of Coalition Games on MV-algebras
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SYSNO ASEP 0359839 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Core of Coalition Games on MV-algebras Author(s) Kroupa, Tomáš (UTIA-B) RID Source Title Journal of Logic and Computation - ISSN 0955-792X
Roč. 21, č. 3 (2011), s. 479-492Number of pages 14 s. Language eng - English Country GB - United Kingdom Keywords coalition game ; core ; MV-algebra Subject RIV BA - General Mathematics R&D Projects 1M0572 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) GA102/08/0567 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10750506 - UTIA-B (2005-2011) UT WOS 000290588300006 EID SCOPUS 79956159799 DOI 10.1093/logcom/exp015 Annotation 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. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2012
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