Discrete time stochastic multi-player competitive games with affine payoffs
Ivan Guo , Marek Rutkowski
AbstractA novel class of multi-player competitive stochastic games in discrete-time with an affine specification of the redistribution of payoffs at exercise is examined. The affine games cover as a very special case the classic two-person stochastic stopping games introduced by Dynkin (1969). We first extend to the case of a single-period deterministic affine game the results from Guo and Rutkowski (2012, 2014) where the socalled redistribution games were studied. We identify conditions under which optimal equilibria and value for a multi-player affine game exist. We also examine stochastic multi-period affine games and we show that, under mild assumptions, they can be solved by the method of backward induction.
|Journal series||Stochastic Processes and Their Applications, ISSN 0304-4149|
|Publication size in sheets||1.55|
|Keywords in English||Multi-player game; Redistribution game; Affine game; Dynkin stopping game; Stochastic game; Nash equilibrium; Optimal equilibrium|
|Abstract in Polish||Zbadano nową klasę gier stochastycznych z dyskretnym czasem.|
|Score|| = 25.0, 28-11-2017, ArticleFromJournal|
= 30.0, 28-11-2017, ArticleFromJournal
|Publication indicators||: 2016 = 1.024 (2) - 2016=1.271 (5)|
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