Papers, ranked by score

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

Competition between DEXs through Dynamic Fees

We find an approximate Nash equilibrium in a game between decentralized exchanges (DEXs) that compete for order flow by setting dynamic trading fees. We characterize the equilibrium via a coupled system of partial differential equations and derive tractable approximate closed-form expressions for th

Lab Rats Math 8.5 Rigor 3.5 ·  March 10, 2026

Optimal Investment and Consumption in a Stochastic Factor Model

In this article, we study optimal investment and consumption in an incomplete stochastic factor model for a power utility investor on the infinite horizon. When the state space of the stochastic factor is finite, we give a complete characterisation of the well-posedness of the problem, and provide a

Lab Rats Math 9.5 Rigor 2 ·  September 11, 2025

Market Making with Exogenous Competition

We study liquidity provision in the presence of exogenous competition. We consider a reference market maker' who monitors her inventory and the aggregated inventory of the competing market makers. We assume that the competing market makers use a rule of thumb’ to determine their posted depths, dep

Lab Rats Math 8 Rigor 3 ·  July 24, 2024

Optimal Investment and Consumption in Financial Markets with Integrated Variance Clocks

We study the infinite-horizon optimal investment and consumption problem in a general class of continuous financial markets, where uncertainty is driven by a continuous non-decreasing stochastic clock representing accumulated variance. This framework encompasses classical Markovian and non-Markovian

Lab Rats Math 9 Rigor 2 ·  September 22, 2026

Existence and uniqueness of quadratic and linear mean-variance equilibria in general semimartingale markets

We revisit the classical topic of quadratic and linear mean-variance equilibria with both financial and real assets. The novelty of our results is that they are the first allowing for equilibrium prices driven by general semimartingales and hold in discrete as well as continuous time. For agents wit

Lab Rats Math 9.5 Rigor 1.5 ·  August 6, 2024

The Interplay between Utility and Risk in Portfolio Selection

We revisit the problem of portfolio selection, where an investor maximizes utility subject to a risk constraint. Our framework is very general and accommodates a wide range of utility and risk functionals, including non-concave utilities such as S-shaped utilities from prospect theory and non-convex

Lab Rats Math 8.5 Rigor 2 ·  September 12, 2025

Risk, utility and sensitivity to large losses

Risk and utility functionals are fundamental building blocks in economics and finance. In this paper we investigate under which conditions a risk or utility functional is sensitive to the accumulation of losses in the sense that any sufficiently large multiple of a position that exposes an agent to

Lab Rats Math 8 Rigor 2 ·  May 20, 2024

An elementary proof of the dual representation of Expected Shortfall

We provide an elementary proof of the dual representation of Expected Shortfall on the space of integrable random variables over a general probability space. Unlike the results in the extant literature, our proof only exploits basic properties of quantile functions and can thus be easily implemented

Lab Rats Math 6 Rigor 1 ·  June 26, 2023

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