Completely Mixed Stochastic Games with Small Unfixed Discount Factor

Konstantin Avrachenkov 1, * Anastasiia Varava 2
* Auteur correspondant
1 MAESTRO - Models for the performance analysis and the control of networks
CRISAM - Inria Sophia Antipolis - Méditerranée
2 KTH - Royal Institute of Technology [Stockholm]
Abstract : Motivated by uncertainty in the value of the interest rate, we study discounted zero-sum stochastic games with unfixed discount factor. Our general goal is to obtain a power series expansion of the value of the game with respect to the discount factor around its nominal value. We consider a specific but important class of stochastic games – completely mixed stochastic games. As an illustrative example we take tax evasion model.
Keywords : power series discounted stochastic games Shapley-Snow kernel tax evasion model AMS 2000 subject classification: Primary 91A15 Secondary 49L20 completely mixed games un-fixed discount factor
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Chapitre d'ouvrage
Alexey Piunovskiy. Modern trends in controlled stochastic processes: Theory and applications, 2, Luniver Press, pp.152-163, 2015, 1905986459
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Konstantin Avrachenkov, Anastasiia Varava. Completely Mixed Stochastic Games with Small Unfixed Discount Factor. Alexey Piunovskiy. Modern trends in controlled stochastic processes: Theory and applications, 2, Luniver Press, pp.152-163, 2015, 1905986459. 〈hal-01259669〉

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