Dynkin Game with Asymmetric Information

被引:0
作者
N. Esmaeeli
P. Imkeller
V. Nzengang
机构
[1] University of Isfahan,Department of Mathematics, Faculty of Sciences
[2] Sharif University of Technology,Department of Mathematical Sciences
[3] Humboldt-Universität zu Berlin,Institut für Mathematik
来源
Bulletin of the Iranian Mathematical Society | 2019年 / 45卷
关键词
Dynkin games; Asymmetric information; Initial enlargement of filtrations; Primary 91A15; Secondary 60G40; 91B24;
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学科分类号
摘要
We consider a Dynkin game where the seller possesses additional information compared to the buyer. The additional information is described by a random variable taking finitely many values. We show that the game possesses a value and we provide a necessary and sufficient condition for the existence of a Nash equilibrium. Results are illustrated with an explicit example.
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页码:283 / 301
页数:18
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共 43 条
  • [1] Amendinger J(2003)A monetary value for initial information in portfolio optimization Financ. Stoch. 7 29-46
  • [2] Becherer D(1998)Additional logarithmic utility of an insider Stoch. Process. Appl. 75 263-286
  • [3] Schweizer M(1977)Sur un problème de dynkin Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 39 31-53
  • [4] Amendinger J(1979)Contrôle de processus alternants et applications Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 47 241-288
  • [5] Imkeller P(2013)Carthaginian enlargement of filtrations ESAIM Probab. Stat. 17 550-566
  • [6] Schweizer M(1996)Backward stochastic differential equations with reflection and Dynkin games Ann. Probab. 24 2024-2056
  • [7] Bismut JM(1969)Game variant of a problem on optimal stopping Sov. Math. Dokl. 10 270-274
  • [8] Bismut JM(2008)Optimal stopping games for markov processes SIAM J. Control Optim. 47 684-702
  • [9] Callegaro G(2018)American options with asymmetric information and reflected BSDE Bernoulli 24 1394-1426
  • [10] Jeanblanc M(2017)The strong predictable representation property in initially enlarged filtrations under the density hypothesis Stoch. Process. Appl. 128 1007-1033