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

Lozovanu Dmitrii; Pickl Stefan Wolfgang

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563

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2023-06-24 18:15

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519.83 (13)

Operational research (OR): mathematical theories and methods (169)

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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 Republicii Moldova. Matematica, 2022, nr. 1(98), pp. 75-82. ISSN 1024-7696. DOI: https://doi.org/10.56415/basm.y2022.i1.p75

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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica

Numărul 1(98) / 2022 / ISSN 1024-7696 /ISSNe 2587-4322

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

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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

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