Papers, ranked by score

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

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

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