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Intrinsic Comparative Dynamics of Locally Differentiable Feedback Stackelberg Equilibria

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  • Michael Caputo
  • Chen Ling

Abstract

The intrinsic comparative dynamics of locally differentiable feedback Stackelberg equilibria are derived for the ubiquitous class of autonomous and exponentially discounted infinite horizon differential games. It is shown that the follower’s intrinsic comparative dynamics agree in their form and qualitative properties with those of every player in a feedback Nash equilibrium, while those of the leader differ in form. The difference allows, in principle, an empirical test of the leader-follower role in a differential game. Separability conditions are identified on the instantaneous payoff and transition functions under which the intrinsic comparative dynamics of feedback Nash equilibria, feedback Stackelberg equilibria, and those in the corresponding optimal control problem are qualitatively identical. Copyright Springer Science+Business Media New York 2015

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  • Michael Caputo & Chen Ling, 2015. "Intrinsic Comparative Dynamics of Locally Differentiable Feedback Stackelberg Equilibria," Dynamic Games and Applications, Springer, vol. 5(1), pages 1-25, March.
    • Handle: RePEc:spr:dyngam:v:5:y:2015:i:1:p:1-25
    DOI: 10.1007/s13235-014-0121-3
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    1. 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 Stackelberg equilibria; C72; C73;
    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

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