Equilibria in Pure Strategies for a Two-Player Zero-Sum Average Stochastic Positional Game
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519.83 (12)
Operational research (OR): mathematical theories and methods (141)
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LOZOVANU, Dmitrii; PICKL, Stefan Wolfgang. Equilibria in Pure Strategies for a Two-Player Zero-Sum Average Stochastic Positional Game. In: Buletinul Academiei de Ştiinţe a Moldovei. Matematica. 2022, nr. 1(98), pp. 75-82. ISSN 1024-7696.
10.56415/basm.y2022.i1.p75
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Buletinul Academiei de Ştiinţe a Moldovei. Matematica
Numărul 1(98) / 2022 / ISSN 1024-7696

Equilibria in Pure Strategies for a Two-Player Zero-Sum Average Stochastic Positional Game

DOI: https://doi.org/10.56415/basm.y2022.i1.p75
CZU: 519.83
MSC 2010: 90C15, 90A20, 91A50.

Pag. 75-82

Lozovanu Dmitrii1, Pickl Stefan Wolfgang2
 
1 Vladimir Andrunachievici Institute of Mathematics and Computer Science,
2 Institut für Theoretische Informatik, Mathematik und Operations Research
 
Disponibil în IBN: 27 iulie 2022


Rezumat

The problem of the existence and determining equilibria in pure stationary strategies for a two-player zero-sum average stochastic positional game is considered. We show that for such a game there exists the value and players may achieve the value by applying pure stationary strategies of choosing the actions in their positions. Based on a constructive proof of these results we propose an algorithmic approach for determining the optimal pure stationary strategies of the players.

Cuvinte-cheie
Positional game, Two-player zero-sum stochastic game, Average payoff, Pure stationary equilibria