Papers, ranked by score

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

Regularity of Solutions of Mean-Field $G$-SDEs

We study regularity properties of the unique solution of a mean-field $G$-SDE. More precisely, we consider a mean-field $G$-SDE with square-integrable random initial condition and establish its first and second order Fréchet differentiability in the random initial condition and specify the $G$-SDEs

Lab Rats Math 9.5 Rigor 1 ·  August 11, 2025

Mean-Field SDEs driven by $G$-Brownian Motion

We extend the notion of mean-field SDEs to SDEs driven by $G$-Brownian motion. More precisely, we consider a $G$-SDE where the coefficients depend not only on time and the current state but also on the solution as random variable.

Lab Rats Math 9.5 Rigor 1 ·  January 17, 2024

Collective Arbitrage and the Value of Cooperation

We introduce the notions of Collective Arbitrage and of Collective Super-replication in a discrete-time setting where agents are investing in their markets and are allowed to cooperate through exchanges. We accordingly establish versions of the fundamental theorem of asset pricing and of the pricing

Lab Rats Math 8 Rigor 2 ·  June 20, 2023

Supplement Liquidity based modeling of asset price bubbles via random matching

This is a supplement to the paper “Liquidity based modeling of asset price bubbles via random matching”. The supplement is organized as follows. First, we prove Theorem 3.13 in [1] which provides the existence of the dynamical system D introduced in Definition 3.6 in [1]. Second, we show some proper

Lab Rats Math 8.5 Rigor 1.5 ·  November 27, 2023

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