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Contributions to Game Theory and Management, 2016, том 9, страницы 246–265
(Mi cgtm288)
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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
Strategic support of the Shapley value in stochastic games
Elena M. Parilina Saint Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg, 199034, Russia
Аннотация:
We consider the cooperative behavior in stochastic games. We assume that players cooperate in the game and agree on realizing the Shapley value as an imputation of their total payoff. The problem of subgame (time) consistency of the Shapley value is examined. The imputation distribution procedure is constructed to make the Shapley value subgame consistent. We redefine the payoffs in stochastic game applying the imputation distribution procedure. The problem of strategic support of the Shapley value is examined. We prove that the cooperative strategy profile is the Nash equilibrium in the stochastic game with re-defined payoff functions when some conditions are satisfied. The theoretical results are demonstrated on the example of a data transmission game for a wireless network of a specific topology.
Ключевые слова:
cooperative stochastic game, time consistency, subgame consistency, imputation distribution procedure, strategic support.
Образец цитирования:
Elena M. Parilina, “Strategic support of the Shapley value in stochastic games”, Contributions to Game Theory and Management, 9 (2016), 246–265
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/cgtm288 https://www.mathnet.ru/rus/cgtm/v9/p246
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