On the Uniqueness Nash Equilibrium in Stochastic Games of Capital Accumulation on a Graph

dc.contributor.authorChornei, Ruslan
dc.date.accessioned2019-05-16T13:16:48Z
dc.date.available2019-05-16T13:16:48Z
dc.date.issued2018
dc.description.abstractThe main purpose of this work is the study of the application of controlled random elds given on a nite non-oriented graph described in, to the problem of the uniqueness of the Nash-equilibrium for stochastic capital accumulation games with many players. The players are located at the vertices of the interaction graph Г, the edges represent the connections between the players. We assume that the decisions of the players are synchronized using a standard assumption of decision making in discrete time sequential games. The problem of the existence of the Nash equilibrium for this type of games is considered in the work. In order to show the existence of a single equilibrium, additional conditions on transitional probabilities and utility functions apply.en_US
dc.identifier.citationChornei R. On the Uniqueness Nash Equilibrium in Stochastic Games of Capital Accumulation on a Graph / Chornei R. K. // 7nd International Eurasian Conference on Mathematical Sciences and Applications, (28-31 August 2018). - Kyiv, 2018. - P. 128-129.en_US
dc.identifier.urihttps://ekmair.ukma.edu.ua/handle/123456789/15607
dc.language.isoenen_US
dc.relation.source7nd International Eurasian Conference on Mathematical Sciences and Applications, (28-31 August 2018)en_US
dc.statusfirst publisheden_US
dc.subjectMarkov decision processen_US
dc.subjectstochastic gameen_US
dc.subjectNash equilibriumen_US
dc.subjectcapital accumulationen_US
dc.subjectrandom eldsen_US
dc.subjectlocal interactionen_US
dc.subjectconference materialsen_US
dc.titleOn the Uniqueness Nash Equilibrium in Stochastic Games of Capital Accumulation on a Graphen_US
dc.typeConference materialsen_US
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