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A Property of <Emphasis Type="Italic">g</Emphasis>-Expectation
Authors:Email author" target="_blank">Long?JiangEmail author
Institution:(1) School of Mathematics and System Sciences, Shandong University, Jinan 250100, P. R. China;(2) Department of Mathematics, China University of Mining and Technology, Xuzhou 221008, P. R. China
Abstract:This paper proves that, under the hypothesis g(t, 0, 0)≡0 and some natural assumptions, the generator g of a backward stochastic differential equation can be uniquely determined by the corresponding g-expectations with all terminal conditions. The main result of this paper also confirms and extends Peng Shige’s conjecture. Supported by the National Natural Science Foundation of China (No. 10131030)
Keywords:Backward stochastic differential equation  Comparison theorem            g-Expectation  Conditional g-expectation  Price system
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