On a decomposition result in a Dynkin stopping game

On a decomposition result in a Dynkin stopping game

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Article ID: iaor20091320
Country: India
Volume: 29
Issue: 3
Start Page Number: 523
End Page Number: 530
Publication Date: May 2008
Journal: Journal of Information & Optimization Sciences
Authors:
Abstract:

In this note we prove that, a two-player, zero-sum Dynkin stopping game connected with a 2-dimensional geometric Brownian motion decomposes into two standard optimal stopping problems with terminal reward costs of the mini and max type respectively, for a given terminal reward cost of the mini–max type, under certain conditions. Our main result supplements and extends the result of Yasuda.

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