Fokker-Planck equations of jumping particles and mean field games of impulse control. - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2018

Fokker-Planck equations of jumping particles and mean field games of impulse control.

Résumé

This paper is interested in the description of the density of particles evolving according to some optimal policy of an impulse control problem. We first fix sets on which the particles jump and explain how we can characterize such a density. We then investigate the coupled case in which the underlying impulse control problem depends on the density we are looking for : the mean field games of impulse control. In both cases, we give a variational characterization of the densities of jumping particles.
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Dates et versions

hal-01731631 , version 1 (14-03-2018)
hal-01731631 , version 2 (01-07-2018)

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Charles Bertucci. Fokker-Planck equations of jumping particles and mean field games of impulse control.. 2018. ⟨hal-01731631v1⟩
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