Stationary Nash Equilibria for Average Stochastic Games with Finite State and Action Spaces

Lozovanu Dmitrii

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984

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2019-12-24 15:01

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519.217 (13)

Probabilitate. Statistică matematică (80)

SM ISO690:2012

LOZOVANU, Dmitrii. Stationary Nash Equilibria for Average Stochastic Games with Finite State and Action Spaces. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2016, nr. 2(81), pp. 71-92. ISSN 1024-7696.

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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica

Numărul 2(81) / 2016 / ISSN 1024-7696 /ISSNe 2587-4322

Stationary Nash Equilibria for Average Stochastic Games with Finite State and Action Spaces

CZU: 519.217

Pag. 71-92

Lozovanu Dmitrii

Institute of Mathematics and Computer Science ASM

Proiecte:

INTAS Marker-assisted breeding of new seedless grapevine varieties with resistance to stressful environmental conditions

Disponibil în IBN: 28 octombrie 2016

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Rezumat

We study the problem of the existence of stationary Nash equilibria in infinite n-person stochastic games with limiting average payoff criteria for the players. The state and action spaces in the games are assumed to be finite. We present some results for the existence of stationary Nash equilibria in a multichain average stochastic game with n players. Based on constructive proof of these results we propose an approach for determining the optimal stationary strategies of the players in the case when stationary Nash equilibria in the game exist

Cuvinte-cheie
Markov decision processes, Stochastic games, Average payoffs, Optimal strategies.,

Stationary Nash equilibria

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