Papers, ranked by score

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

Equilibrium Portfolio Selection under Utility-Variance Analysis of Log Returns in Incomplete Markets

This paper investigates a time-inconsistent portfolio selection problem in the incomplete mar ket model, integrating expected utility maximization with risk control. The objective functional balances the expected utility and variance on log returns, giving rise to time inconsistency and motivating t

Lab Rats Math 9.5 Rigor 5 ·  November 8, 2025

Risk-sensitive Reinforcement Learning Based on Convex Scoring Functions

We propose a reinforcement learning (RL) framework under a broad class of risk objectives, characterized by convex scoring functions. This class covers many common risk measures, such as variance, Expected Shortfall, entropic Value-at-Risk, and mean-risk utility. To resolve the time-inconsistency is

Holy Grail Math 8.5 Rigor 5 ·  May 7, 2025

Continuous-time reinforcement learning for optimal switching over multiple regimes

This paper studies the continuous-time reinforcement learning (RL) for optimal switching problems across multiple regimes. We consider a type of exploratory formulation under entropy regularization where the agent randomizes both the timing of switches and the selection of regimes through the genera

Lab Rats Math 9.5 Rigor 4 ·  December 4, 2025

Mean Field Game of Optimal Tracking Portfolio

This paper studies the mean field game (MFG) problem arising from a large population competition in fund management, featuring a new type of relative performance via the benchmark tracking constraint. In the n-agent model, each agent can strategically inject capital to ensure that the total wealth o

Lab Rats Math 9.2 Rigor 2.5 ·  May 3, 2025

Optimal consumption under relaxed benchmark tracking and consumption drawdown constraint

This paper studies an optimal consumption problem with both relaxed benchmark tracking and consumption drawdown constraint, leading to a stochastic control problem with dynamic state-control constraints. In our relaxed tracking formulation, it is assumed that the fund manager can strategically injec

Lab Rats Math 9.5 Rigor 2 ·  October 22, 2024

An extended Merton problem with relaxed benchmark tracking

This paper studies Merton’s problem in an extended formulation by incorporating the benchmark tracking on the wealth process. We consider a tracking formulation where the fund manager aims to maximize the trade-off between the expected utility of consumption and the expected largest shortfall of the

Lab Rats Math 8.5 Rigor 2.5 ·  April 21, 2023

Stochastic control problems with state-reflections arising from relaxed benchmark tracking

This paper studies stochastic control problems motivated by optimal consumption with wealth benchmark tracking. The benchmark process is modeled by a combination of a geometric Brownian motion and a running maximum process, indicating its increasing trend in the long run. We consider a relaxed track

Lab Rats Math 9.2 Rigor 1.5 ·  February 16, 2023

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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