Simple games in Lukasiewicz calculus and their cores
Result description
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 monotoneformulas 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.
Keywords
simple gamegame with fuzzy coalitionscoreMcNaughton functionLukasiewicz logic
The result's identifiers
Result code in IS VaVaI
Alternative codes found
RIV/67985807:_____/13:00393906
Result on the web
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Simple games in Lukasiewicz calculus and their cores
Original language description
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 monotoneformulas 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.
Czech name
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Czech description
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Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
GAP402/12/1309: A Multivalued Approach to Optima and Equilibria in Economics
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Kybernetika
ISSN
0023-5954
e-ISSN
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Volume of the periodical
49
Issue of the periodical within the volume
3
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
16
Pages from-to
404-419
UT code for WoS article
000322858500003
EID of the result in the Scopus database
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Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BA - General mathematics
Year of implementation
2013