Stable Cooperation in a Game with a Major Player

Elena Parilina () and Artem Sedakov ()
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Artem Sedakov: Saint Petersburg State University, 7/9 Universitetskaya nab., Saint Petersburg 199034, Russia

International Game Theory Review (IGTR), 2016, vol. 18, issue 02, 1-20

Abstract: The theory of cooperative games with restricted cooperation has been rapidly developing over the last decades. In our study, we present a special game with restricted cooperation — a game with a major player — a modified version of the landlord game presented in Moulin [1988]. Cooperation of players is supposed to be restricted by a communication structure (a star-graph) as well as a coalition structure. We adopt two well-known cooperative allocations — the Myerson value and the ES-value — to the case when there exist restrictions on the cooperation of players and provide their analytical expressions. Additionally, we examine stability of coalition structures using the concept of the Nash equilibrium and formulate conditions guaranteeing such stability for a given coalition structure.

Keywords: Coalition structure; graph; restricted cooperation; Myerson value; ES-value; stability (search for similar items in EconPapers)
JEL-codes: C71 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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DOI: 10.1142/S0219198916400053

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