208 citations · 498 across the 31 of their papers we have counts for
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math.OC2024★ 1 cited
Controlled Occupied Processes and Viscosity Solutions
H. Mete Soner, Valentin Tissot-Daguette, Jianfeng Zhang
We consider the optimal control of occupied processes which record all positions of the state process. Dynamic programming yields nonlinear equations on the space of positive measu…
math.OC2024
Optimal Control and Potential Games in the Mean Field
Felix Höfer, H. Mete Soner
We study a mean field optimal control problem with general non-Markovian dynamics, including both common noise and jumps. We show that its minimizers are Nash equilibria of an asso…
math.OC2024
Synchronization Games
Felix Höfer, H. Mete Soner
We propose a new mean-field game model with two states to study synchronization phenomena, and we provide a comprehensive characterization of stationary and dynamic equilibria alon…