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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 (169) |
 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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Dublin Core Export
<?xml version='1.0' encoding='utf-8'?> <oai_dc:dc xmlns:dc='http://purl.org/dc/elements/1.1/' xmlns:oai_dc='http://www.openarchives.org/OAI/2.0/oai_dc/' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd'> <dc:creator>Lozovanu, D.D.</dc:creator> <dc:creator>Pickl, S.</dc:creator> <dc:date>2022-07-26</dc:date> <dc:description xml:lang='en'><p>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.</p></dc:description> <dc:identifier>10.56415/basm.y2022.i1.p75</dc:identifier> <dc:source>Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 98 (1) 75-82</dc:source> <dc:subject>Positional game</dc:subject> <dc:subject>Two-player zero-sum stochastic game</dc:subject> <dc:subject>Average payoff</dc:subject> <dc:subject>Pure stationary equilibria</dc:subject> <dc:title>Equilibria in Pure Strategies for a Two-Player Zero-Sum Average Stochastic Positional Game</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>
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