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Nash equilibrium payoffs for stochastic differential games withreflection

Published online by Cambridge University Press:  27 August 2013

Qian Lin
Qian Lin*
Affiliation:
Center for Mathematical Economics, Bielefeld University, Postfach 100131, 33501 Bielefeld, Germany. [email protected]
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Abstract

In this paper, we investigate Nash equilibrium payoffs for nonzero-sum stochasticdifferential games with reflection. We obtain an existence theorem and a characterizationtheorem of Nash equilibrium payoffs for nonzero-sum stochastic differential games withnonlinear cost functionals defined by doubly controlled reflected backward stochasticdifferential equations.

Keywords

Backward stochastic differential equationsdynamic programming principleNash equilibrium payoffsstochastic differential games
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 19 , Issue 4 , October 2013 , pp. 1189 - 1208
Copyright
© EDP Sciences, SMAI, 2013

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