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19 mars 2024

Séminaire_19_mars

Céline Labart (Université Savoie Mont Blanc)

Simulation of McKean-Vlasov BSDEs by Wiener Chaos Expansion

Abstract : We present an algorithm to solve McKean-Vlasov BSDEs based on Wiener chaos expansion and Picard's iterations and study its convergence. Here we are faced with the problem of the approximation of the law of (Y,Z) in the driver, that we solve by using a particle system. In order to avoid solving a system of BSDEs, which would not be feasible in practice, we use the same particles to approximate the law of (Y,Z) and to compute Monte Carlo approximations.

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