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SM ISO690:2012 NOVAC, Ludmila. Nash equilibria in the noncooperative informational extended games. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2009, nr. 1(59), pp. 96-103. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 1(59) / 2009 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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Pag. 96-103 | ||||||
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In this article¤we will analyse informational extended games, i.e. games in which the players choose their actions simultaneously, with assumption that they have some information about the future strategies which will be chosen by other
players. All informational extended games of this type will assume that players' payoff functions are common knowledge. Under these assumptions the last section will define the informational extended games and analyse Nash equilibrium and conditions of its existence. The essential result of this article is a theorem of Nash equilibrium existence in informational extended games with n players. Our treatment is based on a standard fixed point theorem which will be stated without proof in the first section. |
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Cuvinte-cheie Noncooperative game, informational extended games, strategic form game, payo® function, Nash equilibrium |
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