0393906 - ÚI 2014 RIV CZ eng J - Journal Article
Cintula, Petr - Kroupa, Tomáš
Simple games in Lukasiewicz calculus and their cores.
Kybernetika. Roč. 49, č. 3 (2013), s. 404-419. ISSN 0023-5954
R&D Projects: GA ČR GAP402/12/1309
Institutional support: RVO:67985807 ; RVO:67985556
Keywords : simple game * game with fuzzy coalitions * core * McNaughton function * Lukasiewicz logic
Subject RIV: BA - General Mathematics
Impact factor: 0.563, year: 2013
http://dml.cz/handle/10338.dmlcz/143355

We propose a generalization of simple coalition games in the context of games with fuzzy coalitions. Mimicking the correspondence of simple games with non-constant monotone formulas of classical logic, we introduce simple Lukasiewicz games using monotone formulas of Lukasiewicz logic, one of the most prominent fuzzy logics. We study the core solution on the class of simple Lukasiewicz games and show that cores of such games are determined by finitely-many linear constraints only. The non-emptiness of core is completely characterized in terms of balanced systems and by the presence of strong veto players.
Permanent Link: http://hdl.handle.net/11104/0222591