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On Nash Equilibria for Noncooperative Games Governed by the Burgers Equation

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  • T. Roubíček

    (Charles University
    Academy of Sciences)

Abstract

Existence of a Nash equilibrium in a noncooperative game governed by the one-dimensional Burgers equation, proposed in the case of pointwise controls in Ref. 1, is proved under data qualifications that guarantee the diffusion term in the Burgers’ equation to be dominant enough with respect to the uniform convexity of the payoffs.

Suggested Citation

  • T. Roubíček, 2007. "On Nash Equilibria for Noncooperative Games Governed by the Burgers Equation," Journal of Optimization Theory and Applications, Springer, vol. 132(1), pages 41-50, January.
    • Handle: RePEc:spr:joptap:v:132:y:2007:i:1:d:10.1007_s10957-006-9065-0
    DOI: 10.1007/s10957-006-9065-0
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    References listed on IDEAS

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    1. A.M. Ramos & R. Glowinski & J. Periaux, 2002. "Pointwise Control of the Burgers Equation and Related Nash Equilibrium Problems: Computational Approach," Journal of Optimization Theory and Applications, Springer, vol. 112(3), pages 499-516, March.
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