minimization problem of monotone-follower type with submodular costs. We call these games monotone-follower games. In a not …

We study mean field games with scalar It^o-type dynamics and costs that are submodular with respect to a suitable order … ordinary stochastic controls, then extended to relaxed controls. Our approach allows also to treat a class of submodular mean …

minimization problem of monotone-follower type with submodular costs. We call these games monotone-follower games. In a not …

We study mean field games with scalar It^o-type dynamics and costs that are submodular with respect to a suitable order … ordinary stochastic controls, then extended to relaxed controls. Our approach allows also to treat a class of submodular mean …

Abstract In the case of a submodular, law-invariant capacity, we provide an entirely elementary proof of a result of … show that the anticore of a continuous submodular, law-invariant nonatomic capacity has a dichotomous nature: either it is …