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

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dc.contributor.author Chornei, Ruslan
dc.date.accessioned 2019-05-16T13:16:48Z
dc.date.available 2019-05-16T13:16:48Z
dc.date.issued 2018
dc.identifier.citation Chornei 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.uri http://ekmair.ukma.edu.ua/handle/123456789/15607
dc.description.abstract The 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.language.iso en en_US
dc.subject Markov decision process en_US
dc.subject stochastic game en_US
dc.subject Nash equilibrium en_US
dc.subject capital accumulation en_US
dc.subject random elds en_US
dc.subject local interaction en_US
dc.subject conference materials en_US
dc.title On the Uniqueness Nash Equilibrium in Stochastic Games of Capital Accumulation on a Graph en_US
dc.type Conference materials en_US
dc.status first published en_US
dc.relation.source 7nd International Eurasian Conference on Mathematical Sciences and Applications, (28-31 August 2018) en_US


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