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Consistent Conjectures, Equilibria and Dynamic Games

In: Dynamic Games: Theory and Applications

Author

Listed:
  • Alain Jean-Marie
  • Mabel Tidball

Abstract

We discuss in this paper the relationships between conjectures, conjectural equilibria, consistency and Nash equilibria in the classical theory of discrete-time dynamic games. We propose a theoretical framework in which we define conjectural equilibria with several degrees of consistency. In particular, we introduce feedback-consistency, and we prove that the corresponding equilibria and Nash-feedback equilibria of the game coincide. We discuss the relationship between these results and previous studies based on differential games and supergames.

Suggested Citation

  • Alain Jean-Marie & Mabel Tidball, 2005. "Consistent Conjectures, Equilibria and Dynamic Games," Springer Books, in: Alain Haurie & Georges Zaccour (ed.), Dynamic Games: Theory and Applications, chapter 0, pages 93-109, Springer.
    • Handle: RePEc:spr:sprchp:978-0-387-24602-4_5
    DOI: 10.1007/0-387-24602-9_5
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    Citations

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    Cited by:

    1. Pedro, de Mendonça, 2009. "Self-Enforcing Climate Change Treaties: A Generalized Differential Game Approach with Applications," MPRA Paper 17889, University Library of Munich, Germany.
    2. N. Quérou & M. Tidball, 2014. "Consistent conjectures in a dynamic model of non-renewable resource management," Annals of Operations Research, Springer, vol. 220(1), pages 159-180, September.
    3. Alain Jean-Marie & Tania Jimenez & Mabel Tidball, 2021. "Nearsighted, farsighted behaviors and learning. Application to a groundwater management problem [Comportements à court terme, à long terme et apprentissage. Application à un problème de gestion de ," Working Papers hal-03213518, HAL.

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