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Optimization Theory and Related Topics
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SYSNO ASEP 0376903 Document Type M - Monograph Chapter R&D Document Type Monograph Chapter Title A Generalized Moebius Transform of Games on MV-algebras and Its Application to a Cimmino-type Algorithm for the Core Author(s) Kroupa, Tomáš (UTIA-B) RID Source Title Optimization Theory and Related Topics. - Providence, Rhode Island : American Mathematical Society, 2012 / Reich Simeon ; Zaslavski Alexander - ISBN 978-0-8218-6908-6 Pages s. 139-158 Number of pages 20 s. Number of pages 279 Publication form Print - P Language eng - English Country US - United States Keywords coalition game ; MV-algebra ; Moebius transform Subject RIV BA - General Mathematics R&D Projects 1M0572 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) GA201/09/1957 GA ČR - Czech Science Foundation (CSF) GA201/09/1891 GA ČR - Czech Science Foundation (CSF) Institutional support UTIA-B - RVO:67985556 CEZ AV0Z10750506 - UTIA-B (2005-2011) UT WOS 000308514100010 DOI 10.1090/conm/568/11281 Annotation A generalization of the Moebius transform of games with finitely many players is introduced for games on MV-algebras. The variety of MV- algebras subsumes most coalition models. We characterize the class of games for which the generalized Moebius transform exists. An application of the proposed transform to a Cimmino-type algorithm is shown for the core solution in games with finitely-many players. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2013
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