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

Author:

Ohtsubo Yoshio

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference10 articles.

1. Non zero-sum stopping games of symmetric Markov processes

2. On noncooperative n-player cyclic stopping games;Morimoto;Stochastics,1986

3. Monotone stopping games

4. Continuous Time Stopping Games with Monotone Reward Structures

5. Game variant of a problem on optimal stopping;Dynkin;Soviet Math. Dokl.,1969

Cited by 15 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. $$\varepsilon $$-Nash Equilibria of a Multi-player Nonzero-Sum Dynkin Game in Discrete Time;Dynamic Games and Applications;2023-03-30

2. Recursive Construction of a Nash Equilibrium in a Two-Player Nonzero-Sum Stopping Game with Asymmetric Information;SIAM Journal on Control and Optimization;2022-12-16

3. Stochastic Games;Complex Social and Behavioral Systems;2020

4. Nash equilibria of threshold type for two-player nonzero-sum games of stopping;The Annals of Applied Probability;2018-02-01

5. Nonzero-Sum Stochastic Games;Handbook of Dynamic Game Theory;2018

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3