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1 results

  • Monotone stopping games

  • John W. Mamer
  • Journal:
    Journal of Applied Probability / Volume 24 / Issue 2 / June 1987
    Published online by Cambridge University Press:
    14 July 2016, pp. 386-401
    Print publication:
    June 1987

  • We consider the extension of optimal stopping problems to non-zero-sum strategic settings called stopping games. By imposing a monotone structure on the pay-offs of the game we establish the existence of a Nash equilibrium in non-randomized stopping times. As a corollary, we identify a class of games for which there are Nash equilibria in myopic stopping times. These games satisfy the strategic equivalent of the classical ‘monotone case' assumptions of the optimal stopping problem.