On a discrete-time non-zero-sum Dynkin problem with monotonicity

We consider a monotone case of the non-zero-sum stopping game with discrete time parameter which is called the Dynkin problem. Marner (1987) has investigated a stopping game with general monotone reward structures, but his monotonicity is too strong to apply our problem. We establish that there exis...

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Veröffentlicht in:	Journal of applied probability 1991-06, Vol.28 (2), p.466-472
1. Verfasser:	Ohtsubo, Yoshio
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Mathematics Nash equilibrium Probability and statistics Probability theory and stochastic processes Random variables Sciences and techniques of general use Short Communications Stopping distances
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container_title	Journal of applied probability
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creator	Ohtsubo, Yoshio
description	We consider a monotone case of the non-zero-sum stopping game with discrete time parameter which is called the Dynkin problem. Marner (1987) has investigated a stopping game with general monotone reward structures, but his monotonicity is too strong to apply our problem. We establish that there exists an explicit equilibrium point in our monotone case. We also give a simple example applicable to a duopolistic exit game.
doi_str_mv	10.2307/3214881
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source	Jstor Complete Legacy; JSTOR Mathematics & Statistics
subjects	Exact sciences and technology Mathematics Nash equilibrium Probability and statistics Probability theory and stochastic processes Random variables Sciences and techniques of general use Short Communications Stopping distances
title	On a discrete-time non-zero-sum Dynkin problem with monotonicity
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