Papers, ranked by score

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

Optimal Fees for Liquidity Provision in Automated Market Makers

Passive liquidity providers (LPs) in automated market makers (AMMs) face losses due to adverse selection (LVR), which static trading fees often fail to offset in practice. We study the key determinants of LP profitability in a dynamic reduced-form model where an AMM operates in parallel with a centr

Holy Grail Math 7 Rigor 8 ·  August 11, 2025

Bid--Ask Martingale Optimal Transport

Martingale Optimal Transport (MOT) provides a framework for robust pricing and hedging of illiquid derivatives. Classical MOT enforces exact calibration of model marginals to the mid-prices of vanilla options. Motivated by the industry practice of fitting bid and ask marginals to vanilla prices, we

Holy Grail Math 8.5 Rigor 6.5 ·  March 14, 2026

Risk-Based Auto-Deleveraging

Auto-deleveraging (ADL) mechanisms are a critical yet understudied component of risk management on cryptocurrency futures exchanges. When available margin and other loss-absorbing resources are insufficient to cover losses following large price moves, exchanges reduce positions and socialize losses

Lab Rats Math 7.5 Rigor 3 ·  March 16, 2026

On the Martingale Schrödinger Bridge between Two Distributions

We study a martingale Schrödinger bridge problem: given two probability distributions, find their martingale coupling with minimal relative entropy. Our main result provides Schrödinger potentials for this coupling. Namely, under certain conditions, the log-density of the optimal coupling is given b

Lab Rats Math 9 Rigor 1.5 ·  January 10, 2024

High-Frequency Analysis of a Trading Game with Transient Price Impact

We study the high-frequency limit of an $n$-trader optimal execution game in discrete time. Traders face transient price impact of Obizhaeva–Wang type in addition to quadratic instantaneous trading costs $θ(ΔX_t)^2$ on each transaction $ΔX_t$. There is a unique Nash equilibrium in which traders choo

Lab Rats Math 9.5 Rigor 1 ·  December 12, 2025

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