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Infinite-Horizon Stochastic Differential Games with Branching Payoffs

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  • D. W. K. Yeung

    (Hong Kong Baptist University
    St. Petersburg State University)

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.

Suggested Citation

  • D. W. K. Yeung, 2001. "Infinite-Horizon Stochastic Differential Games with Branching Payoffs," Journal of Optimization Theory and Applications, Springer, vol. 111(2), pages 445-460, November.
    • Handle: RePEc:spr:joptap:v:111:y:2001:i:2:d:10.1023_a:1011994604278
    DOI: 10.1023/A:1011994604278
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    References listed on IDEAS

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    1. Yeung, David W. K., 1996. "A differential game model of a market of substitutable products," European Journal of Operational Research, Elsevier, vol. 90(3), pages 599-608, May.
    2. Kaitala, Veijo, 1993. "Equilibria in a stochastic resource management game under imperfect information," European Journal of Operational Research, Elsevier, vol. 71(3), pages 439-453, December.
    3. Sorger, Gerhard, 1989. "Competitive dynamic advertising : A modification of the Case game," Journal of Economic Dynamics and Control, Elsevier, vol. 13(1), pages 55-80, January.
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    Cited by:

    1. Luca Grilli, 2004. "A Differential Game for Renewable Resource Extraction Asymmetric Players and Asynchronous Horizons," Quaderni DSEMS lg_cart_2004, Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia.
    2. D. W. K. Yeung & L. A. Petrosyan, 2004. "Subgame Consistent Cooperative Solutions in Stochastic Differential Games," Journal of Optimization Theory and Applications, Springer, vol. 120(3), pages 651-666, March.
    3. D.W.K. Yeung & L.A. Petrosyan, 2005. "Subgame Consistent Solutions of a Cooperative Stochastic Differential Game with Nontransferable Payoffs," Journal of Optimization Theory and Applications, Springer, vol. 124(3), pages 701-724, March.
    4. Ricardo Josa-Fombellida & Juan Pablo Rincón-Zapatero, 2018. "Stochastic Differential Games for Which the Open-Loop Equilibrium is Subgame Perfect," Dynamic Games and Applications, Springer, vol. 8(2), pages 379-400, June.
    5. David Yeung & Ovanes Petrosian, 2017. "Infinite Horizon Dynamic Games: A New Approach via Information Updating," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(04), pages 1-23, December.
    6. Luca Grilli, 2004. "A Stackelberg Differential Game with Overlapping Generations," Quaderni DSEMS lg_elx_2004, Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia.

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