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Infinite-Horizon Stochastic Differential Games with Branching Payoffs

D. W. K. Yeung
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D. W. K. Yeung: Hong Kong Baptist University

Journal of Optimization Theory and Applications, 2001, vol. 111, issue 2, No 11, 445-460

Abstract: Abstract In this paper, we consider infinite-horizon stochastic differential games with an autonomous structure and steady branching payoffs. While the introduction of additional stochastic elements via branching payoffs offers a fruitful alternative to modeling game situations under uncertainty, the solution to such a problem is not known. A theorem on the characterization of a Nash equilibrium solution for this kind of games is presented. An application in renewable resource extraction is provided to illustrate the solution mechanism.

Keywords: Stochastic differential games; infinite-horizon processes; branching processes; Nash equilibria (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1023/A:1011994604278

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