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Probabilistic representation and approximation for coupled systems of variational inequalities

Romuald Elie and Idris Kharroubi

Statistics & Probability Letters, 2010, vol. 80, issue 17-18, 1388-1396

Abstract: Our study is dedicated to the probabilistic representation and numerical approximation of solutions of coupled systems of variational inequalities. We interpret the unique viscosity solution of a coupled system of variational inequalities as the solution of a one-dimensional constrained BSDE with jumps. This new representation allows for the introduction of a natural probabilistic numerical scheme for the resolution of these systems.

Keywords: BSDE; with; jumps; Variational; inequalities; Viscosity; solutions; Monte; Carlo; simulations; Switching; problems (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (5)

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