Scientiae Mathematicae Japonicae
Online ISSN : 1346-0447
STOPPING GAME ON TWO STOCKS DRIVEN BY LÉVY PROCESSES
Cloud Makasu
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2009 年 69 巻 1 号 p. 27-33

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In this note, we treat a two-player zero-sum Dynkin game on two stocks driven by geometric Lévy processes, for a given terminal reward cost. Explicit forms for the optimal stopping times and the value of the game are both sought for, under certain conditions. The present note extends a recent result of the author to include a wider class of diffusion processes with jumps. The main result is derived following a decomposition of a stopping game into two standard optimal stopping problems which is due to Yasuda for a standard Brownian motion.
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© 2009 International Society for Mathematical Sciences
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