A1 Refereed original research article in a scientific journal

A Dynkin game with asymmetric information




AuthorsLempa J, Matomaki P

PublisherTAYLOR & FRANCIS LTD

Publication year2013

JournalStochastics: An International Journal of Probability and Stochastic Processes

Journal name in sourceSTOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES

Journal acronymSTOCHASTICS

Volume85

Issue5

First page 763

Last page788

Number of pages26

ISSN1744-2508

DOIhttps://doi.org/10.1080/17442508.2012.655279


Abstract
We study a Dynkin game with asymmetric information. The game has a random expiry time, which is exponentially distributed and independent of the underlying process. The players have asymmetric information on the expiry time, namely only one of the players is able to observe its occurrence. We propose a set of conditions under which we solve the saddle point equilibrium and study the implications of the information asymmetry. Results are illustrated with an explicit example.



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