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A harmonic function approach to Nash-equilibria of Kifer-type stopping games

  • Hans Rudolf Lerche and Dominik Stich
Published/Copyright: June 27, 2013
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Abstract

In this paper we give sufficient conditions for solving two-person zero sum stopping games. These are games where the strategy set of the two players are stopping times of a diffusion X. Our method is based on the study of harmonic functions for the diffusion and it is similar to the approach of solving optimal stopping problems developed in [2]–[4], and [12].


* Correspondence address: Albert Ludwigs University of Freiburg, Department for Mathematical Stochastics, Eckerstr. 1, 79104 Freiburg, Deutschland,

Published Online: 2013-06-27
Published in Print: 2013-06

© by Oldenbourg Wissenschaftsverlag, München, Germany

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