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The Intrinsic Comparative Dynamics of Locally Differentiable Feedback Nash Equilibria of Autonomous and Exponentially Discounted Infinite Horizon Differential Games

Author

Listed:
  • Micahel Caputo

    (University of Central Florida, Orlando, FL)

  • Chen Ling

    (Southwestern University of Finance and Economics, Chengdu, Sichuan, China)

Abstract
The comparative dynamics of locally differentiable feedback Nash equilibria are derived for the ubiquitous class of autonomous and exponentially discounted infinite horizon differential games. The resulting refutable implications are intrinsic to the said class of differential games, and thus form their basic, empirically testable, properties. Their relationship with extant results in optimal control theory and static game theory is discussed. Separability conditions are identified on the instantaneous payoff and transition functions under which the intrinsic comparative dynamics collapse, in form, to those in optimal control problems. Applications of the results to capital accumulation and sticky-price games are provided.

Suggested Citation

  • Micahel Caputo & Chen Ling, 2012. "The Intrinsic Comparative Dynamics of Locally Differentiable Feedback Nash Equilibria of Autonomous and Exponentially Discounted Infinite Horizon Differential Games," Working Papers 2012-03, University of Central Florida, Department of Economics.
    • Handle: RePEc:cfl:wpaper:2012-03
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    References listed on IDEAS

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    Cited by:

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    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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    More about this item

    Keywords

    comparative dynamics; differential games; feedback Nash equilibria;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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