Cooperation in two-stage games on undirected networks |
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| Authors: | Hongwei Gao Leon Petrosyan Han Qiao Artem Sedakov |
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| Institution: | 1.School of Mathematics and Statistics,Qingdao University,Qingdao,China;2.Faculty of Applied Mathematics and Control Processes,Saint Petersburg State University,Saint Petersburg,Russia;3.School of Economics and Management,University of Chinese Academy of Sciences,Beijing,China;4.Key Laboratory of Big Data Mining and Knowledge Management,Chinese Academy of Sciences,Beijing,China |
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| Abstract: | In the paper, cooperative two-stage network games are studied. At the first stage of the game, players form a network, while at the second stage players choose their behaviors according to the network realized at the first stage. As a cooperative solution concept in the game, the core is considered. It is proved that some imputations from the core are time inconsistent, whereas one can design for them a time-consistent imputation distribution procedure. Moreover, the strong time consistency problem is also investigated. |
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