DYNAMIC GAMES WITH COALITIONAL STRUCTURES

Leon Petrosjan () and Svetlana Mamkina ()
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Leon Petrosjan: Department of Applied Mathematics and Control, St. Petersburg State University, 198504, St. Petersburg, University pr., 35, Russia
Svetlana Mamkina: Department of Applied Mathematics and Control, St. Petersburg State University, 198504, St. Petersburg, University pr., 35, Russia

International Game Theory Review (IGTR), 2006, vol. 08, issue 02, 295-307

Abstract: The paper explores the properties of multistage games with perfect information, in which (unlike the classic Kuhnian definition) the conditional coalition partition at any vertex is determined by a chance move and remains unchanged until the random process repeats at the next vertex. A new value for such a game is proposed in terms of a PMS-vector. It is computed by backward induction using conditional partition and transition in the vertices. An illustrative example is provided.

Keywords: Coalitional partition; indifferent Nash equilibria; PMS-vector; Shapley value; game with perfect information (search for similar items in EconPapers)
JEL-codes: B4 C0 C6 C7 D5 D7 M2 (search for similar items in EconPapers)
Date: 2006
References: View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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DOI: 10.1142/S0219198906000904

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