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A Qualitative Characterization of Symmetric Open-Loop Nash Equilibria in Discounted Infinite Horizon Differential Games

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  • C. Ling

    (Southwestern University of Finance and Economics)

  • M. R. Caputo

    (University of Central Florida)

Abstract

The local stability, steady state comparative statics, and local comparative dynamics of symmetric open-loop Nash equilibria for the ubiquitous class of discounted infinite horizon differential games are investigated. It is shown that the functional forms and values of the parameters specified in a differential game are crucial in determining the local stability of a steady state and, in turn, the steady state comparative statics and local comparative dynamics. A simple sufficient condition for a steady state to be a local saddle point is provided. The power and reach of the results are demonstrated by applying them to two well-known differential games.

Suggested Citation

  • C. Ling & M. R. Caputo, 2011. "A Qualitative Characterization of Symmetric Open-Loop Nash Equilibria in Discounted Infinite Horizon Differential Games," Journal of Optimization Theory and Applications, Springer, vol. 149(1), pages 151-174, April.
    • Handle: RePEc:spr:joptap:v:149:y:2011:i:1:d:10.1007_s10957-010-9779-x
    DOI: 10.1007/s10957-010-9779-x
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    References listed on IDEAS

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    Cited by:

    1. Simon Hoof, 2021. "Dynamic Monopolistic Competition," Journal of Optimization Theory and Applications, Springer, vol. 189(2), pages 560-577, May.
    2. Chen Ling & Shravan Luckraz & Bruno Antonio Pansera, 2023. "Comparative Dynamics in Differential Games: A Note on the Differentiability of Solutions," Journal of Optimization Theory and Applications, Springer, vol. 196(3), pages 1093-1105, March.

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