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Non-linear non-zero-sum Dynkin games with Bermudan strategies
[Jeux de Dynkin non-linéaires à somme non nulle avec des stratégies Bermudiennes]

Author

Listed:
  • Miryana Grigorova

    (University of Warwick [Coventry])

  • Marie-Claire Quenez

    (LPSM (UMR_8001) - Laboratoire de Probabilités, Statistique et Modélisation - SU - Sorbonne Université - CNRS - Centre National de la Recherche Scientifique - UPCité - Université Paris Cité, UPCité - Université Paris Cité)

  • Yuan Peng

    (University of Warwick [Coventry])

Abstract

In this paper, we study a non-zero-sum game with two players, where each of the players plays what we call Bermudan strategies and optimizes a general non-linear assessment functional of the pay-off. By using a recursive construction, we show that the game has a Nash equilibrium point.

Suggested Citation

  • Miryana Grigorova & Marie-Claire Quenez & Yuan Peng, 2023. "Non-linear non-zero-sum Dynkin games with Bermudan strategies [Jeux de Dynkin non-linéaires à somme non nulle avec des stratégies Bermudiennes]," Working Papers hal-04267335, HAL.
  • Handle: RePEc:hal:wpaper:hal-04267335
    Note: View the original document on HAL open archive server: https://hal.science/hal-04267335
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