Subgame Consistent Cooperative Solution of Dynamic Games with Random Horizon

D. W. K. Yeung () and L. A. Petrosyan
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D. W. K. Yeung: Hong Kong Shue Yan University
L. A. Petrosyan: St. Petersburg State University

Journal of Optimization Theory and Applications, 2011, vol. 150, issue 1, No 6, 78-97

Abstract: Abstract In cooperative dynamic games, a stringent condition—that of subgame consistency—is required for a dynamically stable cooperative solution. In particular, under a subgame-consistent cooperative solution an extension of the solution policy to a subgame starting at a later time with a state brought about by prior optimal behavior will remain optimal. This paper extends subgame-consistent solutions to dynamic (discrete-time) cooperative games with random horizon. In the analysis, new forms of the Bellman equation and the Isaacs–Bellman equation in discrete-time are derived. Subgame-consistent cooperative solutions are obtained for this class of dynamic games. Analytically tractable payoff distribution mechanisms, which lead to the realization of these solutions, are developed. This is the first time that subgame-consistent solutions for cooperative dynamic games with random horizon are presented.

Keywords: Dynamic games; Random horizon; Cooperation; Subgame consistency (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (5)

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DOI: 10.1007/s10957-011-9824-4

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