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On the Time Consistency of Equilibria in Additively Separable Differential Games

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  • E. Bacchiega
  • L. Lambertini
  • A. Palestini

Abstract

The relationship amongst state-redundancy and time consistency of differential games is investigated. A class of state-redundant games is detected, where the state dynamics and the payoff functions of all players are additively separable w.r.t. control variables. We prove that, in this class of games, open-loop Nash and degenerate feedback Stackelberg equilibria coincide, both being subgame perfect. This allows us to bypass the issue of the time inconsistency that typically affects the open-loop Stackelberg solution.

Suggested Citation

  • E. Bacchiega & L. Lambertini & A. Palestini, 2008. "On the Time Consistency of Equilibria in Additively Separable Differential Games," Working Papers 629, Dipartimento Scienze Economiche, Universita' di Bologna.
  • Handle: RePEc:bol:bodewp:629
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    Cited by:

    1. Franz Wirl, 2009. "Intertemporal monopolistic pricing of non-durables," Journal of Economics, Springer, vol. 97(2), pages 97-119, June.
    2. Emre M. Demirezen & Subodha Kumar & Bala Shetty, 2020. "Two Is Better Than One: A Dynamic Analysis of Value Co‐Creation," Production and Operations Management, Production and Operations Management Society, vol. 29(9), pages 2057-2076, September.
    3. Caputo, Michael R. & Ling, Chen, 2013. "The intrinsic comparative dynamics of locally differentiable feedback Nash equilibria of autonomous and exponentially discounted infinite horizon differential games," Journal of Economic Dynamics and Control, Elsevier, vol. 37(10), pages 1982-1994.

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