Representing Strategic Games and Their Equilibria in Many-Valued Logics
Result description
We introduce the notion of logical A-games for a fairly general class of algebras A of real truth-values. This concept generalizes the Boolean games as well as the recently defined Lukasiewicz games of Marchioni and Wooldridge. We demonstrate that a wide range of strategic n-player games can be represented as logical A-games. Moreover we show how to construct, under rather general conditions, propositional formulas in the language of A that correspond to pure and mixed Nash equilibria of logical A-games.
Keywords
strategic gamesmany-valued logicsNash equilibriaLukasiewicz games
The result's identifiers
Result code in IS VaVaI
Alternative codes found
RIV/67985556:_____/16:00456358 RIV/61988987:17610/16:A1701FA8
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Representing Strategic Games and Their Equilibria in Many-Valued Logics
Original language description
We introduce the notion of logical A-games for a fairly general class of algebras A of real truth-values. This concept generalizes the Boolean games as well as the recently defined Lukasiewicz games of Marchioni and Wooldridge. We demonstrate that a wide range of strategic n-player games can be represented as logical A-games. Moreover we show how to construct, under rather general conditions, propositional formulas in the language of A that correspond to pure and mixed Nash equilibria of logical A-games.
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
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Logic Journal of the IGPL
ISSN
1367-0751
e-ISSN
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Volume of the periodical
24
Issue of the periodical within the volume
3
Country of publishing house
GB - UNITED KINGDOM
Number of pages
30
Pages from-to
238-267
UT code for WoS article
000377662400003
EID of the result in the Scopus database
2-s2.0-84974667725
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BA - General mathematics
Year of implementation
2016