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| Ultima descărcare din IBN: 2023-06-24 18:15 |
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| 519.83 (13) |
| Operational research (OR): mathematical theories and methods (168) |
 SM ISO690:2012LOZOVANU, 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 |
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| Numărul 1(98) / 2022 / ISSN 1024-7696 /ISSNe 2587-4322 | |
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| DOI:https://doi.org/10.56415/basm.y2022.i1.p75 | |
| CZU: 519.83 | |
| MSC 2010: 90C15, 90A20, 91A50. | |
| Pag. 75-82 | |
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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. |
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| Cuvinte-cheie Positional game, Two-player zero-sum stochastic game, Average payoff, Pure stationary equilibria |
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