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In this paper, we estimate the variance of two coupled paths derived with theMultilevel Monte Carlo method combined with the Euler Maruyama discretizationscheme for the simulation of McKean-Vlasov stochastic differential equationswith small noise. The result often translates into a more efficient method thanthe standard Monte Carlo method combined with algorithms tailored to the smallnoise setting.

Multilevel Monte Carlo EM scheme for MV-SDEs with small noise