Papers, ranked by score

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

A Mean Field Game Approach to Relative Investment-Consumption Games with Habit Formation

This paper studies an optimal investment-consumption problem for competitive agents with exponential or power utilities and a common finite time horizon. Each agent regards the average of habit formation and wealth from all peers as benchmarks to evaluate the performance of her decision. We formulat

Lab Rats Math 8.5 Rigor 2 ·  January 28, 2024

Equilibrium stochastic control with implicitly defined objective functions

This paper considers a class of stochastic control problems with implicitly defined objective functions, which are the sources of time-inconsistency. We study the closed-loop equilibrium solutions in a general controlled diffusion framework. First, we provide a sufficient and necessary condition for

Lab Rats Math 8.5 Rigor 2 ·  December 23, 2023

Time-inconsistent mean field and n-agent games under relative performance criteria

In this paper we study a time-inconsistent portfolio optimization problem for competitive agents with CARA utilities and non-exponential discounting. The utility of each agent depends on her own wealth and consumption as well as the relative wealth and consumption to her competitors. Due to the pres

Lab Rats Math 9 Rigor 1.5 ·  December 22, 2023

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