On the Uniqueness Nash Equilibrium in Stochastic Games of Capital Accumulation on a Graph
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Date
2018
Authors
Chornei, Ruslan
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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.
Description
Keywords
Markov decision process, stochastic game, Nash equilibrium, capital accumulation, random elds, local interaction, conference materials
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.