Dynamically Consistent Nonlinear Evaluations and Expectations

Shi-Ge Peng

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arXiv · math/0501415

Dynamically Consistent Nonlinear Evaluations and Expectations

Shi-Ge Peng

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Abstract

How an economic agent (a firm, an investor or a financial market) evaluates a contingent claim, say a European type of derivatives X, with maturity t? In this paper we study a mechanism of dynamic expectations and evaluations. We give the axiomatic conditions of the time consistency. We prove that, under a domination condition, a time consistent nonlinear evaluation is in fact a g-expectation, i.e., it is completely determined a BSDE in which the generator is a given function g.

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BibTeX RIS

Shi-Ge Peng. 2005-01-24. Dynamically Consistent Nonlinear Evaluations and Expectations. https://arxiv.org/abs/math/0501415

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