Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

Mean field game of mutual holding with defaultable agents, and systemic risk

We introduce the possibility of default in the mean field game of mutual holding of Djete and Touzi [11]. This is modeled by introducing absorption at the origin of the equity process. We provide an explicit solution of this mean field game. Moreover, we provide a particle system approximation, and

Lab Rats Math 9 Rigor 2 ·  March 14, 2023

Stability of supermartingale optimal transport problems

We investigate stability properties of weak supermartingale optimal transport (WSOT) problems on $\mathbb{R}$. For probability measures $μ,ν\in\mathcal{P}r$ satisfying $μ\leq{cd} ν$ (equivalently, $Π_S(μ,ν)\neq\emptyset$), we consider supermartingale couplings $π=μ(d x)π_x(d y)$ and the weak trans

Lab Rats Math 9.2 Rigor 1.5 ·  March 30, 2026

Systemic robustness: a mean-field particle system approach

This paper is concerned with the problem of budget control in a large particle system modeled by stochastic differential equations involving hitting times, which arises from considerations of systemic risk in a regional financial network. Motivated by Tang and Tsai (Ann. Probab., 46(2018), pp. 1597{

Lab Rats Math 9 Rigor 1.5 ·  December 16, 2022

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