Papers, ranked by score

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

Supermartingale Brenier's Theorem with full-marginals constraint

We explicitly construct the supermartingale version of the Fr{é}chet-Hoeffding coupling in the setting with infinitely many marginal constraints. This extends the results of Henry-Labordere et al. obtained in the martingale setting. Our construction is based on the Markovian iteration of one-period

Lab Rats Math 9.2 Rigor 2.5 ·  December 29, 2022

Distribution-constrained maximum stopping of maximum type

We consider the distribution-constrained optimal stopping problem $\sup_{τ\sim μ} \mathbb E[B^τ]$, where $μ$ is a probability distribution on $\mathbb R+$, and $(B^_t)$ denotes the running maximum of a standard Brownian motion. This problem was introduced in Beiglbock et al. (PTRF, 2018), where

Lab Rats Math 9 Rigor 2 ·  October 1, 2026

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

On time-consistent equilibrium stopping under aggregation of diverse discount rates

This paper studies a central planner’s decision making on behalf of a group of members with diverse discount rates. In the context of optimal stopping, we work with an aggregation preference to incorporate all discount rates via an attitude function that reflects the aggregation rule chosen by the c

Lab Rats Math 8.5 Rigor 1.5 ·  February 15, 2023

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