The Subgame-Consistent Shapley Value for Dynamic Network Games with Shock

Leon Petrosyan () and Artem Sedakov ()
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Leon Petrosyan: Saint Petersburg State University
Artem Sedakov: Saint Petersburg State University

Dynamic Games and Applications, 2016, vol. 6, issue 4, No 6, 520-537

Abstract: Abstract In the paper, cooperative repeated network games containing network formation stages are studied. After the first network formation stage, a particular player with a given probability may stop influencing other players by removing all her links and receiving zero payoffs. This effect is called “shock.” The effect of shock may appear only once, and the stage number, at which shock appears, is chosen at random. In the cooperative scenario of the game, subgame consistency of the Shapley value, based on a characteristic function, which is constructed in a special way, is investigated. To prevent players from breaking the cooperative agreement, a mechanism of stage payments—so-called imputation distribution procedure—is designed.

Keywords: Discrete-time games; Network formation; Cooperation; Imputation; Subgame consistency; 90B15; 91A12; 91A20 (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s13235-015-0166-y

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