Endogenous-Horizon Randomly Furcating Differential Games

David W. K. Yeung

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Abstract

This paper widens the scope of endogenous-horizon differential games by introducing uncertainty into the model along the line of the work of Yeung (2001 and 2003). In particular, we propose a new class of games - designated as endogenous-horizon randomly furcating stochastic differential games. The analysis allows random shocks to appear in the players’ future payoffs. Since these payoffs are uncertain, the term “randomly furcating” is introduced to emphasize that a useful way to analyze such situations is to assume that payoffs change at any instant of time according to known probability distributions defined in terms of multiple-branching stochastic processes.
Original languageEnglish
Title of host publicationGame Theory and Applications
EditorsL. A. Petrosjan, V. Mazalov
Place of PublicationNew York
PublisherNova Science Publishers
Pages199-217
Number of pages19
Volume9
ISBN (Print)9781590338438, 159033843X
Publication statusPublished - Oct 2003
Externally publishedYes

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