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20062022
most citedMean-field backward stochastic differential equations: A limit approach

322 citations · 347 across the 15 of their papers we have counts for

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7 papers · 1 filter

math.OC2022★ 1 cited

Mean field stochastic control under sublinear expectation

Rainer Buckdahn, Bowen He, Juan Li

Our work is devoted to the study of Pontryagin's stochastic maximum principle for a mean-field optimal control problem under Peng's -expectation. The dynamics of the controlled…

math.OC2021

SIR Epidemics With State-Dependent Costs and ICU Constraints: A Hamilton-Jacobi Verification Argument and Dual LP Algorithms

Lorenzo Freddi, Dan Goreac, Juan Li +1

The aim of this paper is twofold. On one hand, we strive to give a simpler proof of the optimality of greedy controls when the cost of interventions is control-affine and the dynam…

math.OC2021

A stochastic maximum principle for partially observed general mean-field control problems with only weak solution

Juan Li, Hao Liang, Chao Mi

In this paper we focus on a general type of mean-field stochastic control problem with partial observation, in which the coefficients depend in a non-linear way not only on the sta…

math.OC2021

Value existence for zero-sum ergodic stochastic differential games

Juan Li, Wenqiang Li, Yanwei Li +1

In this paper we investigate two-player zero-sum stochastic differential games with an ergodic payoff, in which the diffusion coefficient does not need to be non-degenerate. We fir…

math.OC2017

Rare-Event Simulation for Distribution Networks

Jose Blanchet, Juan Li, Marvin K. Nakayama

We model equilibrium allocations in a distribution network as the solution of a linear program (LP) which minimizes the cost of unserved demands across nodes in the network. The co…

math.OC2015

Zero-sum and nonzero-sum differential games without Isaacs condition

Juan Li, Wenqiang Li

In this paper we study the zero-sum and nonzero-sum differential games with not assuming Isaacs condition. Along with the partition of the time interval , we choose the…