Papers, ranked by score

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

Relative Arbitrage Opportunities in an Extended Mean Field System

This paper studies relative arbitrage opportunities in a market with competitive investors through stochastic differential games in the limit as the number of players tends to infinity. With common noises introduced by the stock capitalization processes, we establish a conditional McKean-Vlasov syst

Lab Rats Math 9.2 Rigor 2.5 ·  November 5, 2023

Heterogenous Macro-Finance Model: A Mean-field Game Approach

We investigate the full dynamics of capital allocation and wealth distribution of heterogeneous agents in a frictional economy during booms and busts using tools from mean-field games. Two groups in our models, namely the expert and the household, are interconnected within and between their classes

Lab Rats Math 8.5 Rigor 2.5 ·  February 15, 2025

Unbiased Rough Integrators and No Free Lunch in Rough-Path-Based Market Models

Built to generalise classical stochastic calculus, rough path theory provides a natural and pathwise framework to model continuous non-semimartingale assets. This paper investigates the ultimate capacity of this framework to support frictionless continuous No-Free-Lunch markets à la Kreps-Yan. We es

Lab Rats Math 9.5 Rigor 1 ·  September 18, 2025

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