Papers, ranked by score

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

LQG Risk-Sensitive Single-Agent and Major-Minor Mean-Field Game Systems: A Variational Framework

We develop a variational approach to address risk-sensitive optimal control problems with an exponential-of-integral cost functional in a general linear-quadratic-Gaussian (LQG) single-agent setup, offering new insights into such problems. Our analysis leads to the derivation of a nonlinear necessar

Lab Rats Math 9.2 Rigor 1.5 ·  May 24, 2023

Infinite-Dimensional LQ Mean Field Games with Common Noise: Small and Arbitrary Finite Time Horizons

We extend the results of (Liu and Firoozi, 2025), which develops the theory of linear-quadratic (LQ) mean field games (MFGs) in Hilbert spaces, by incorporating a common noise. This common noise is modeled as an infinite-dimensional Wiener process affecting the dynamics of all agents. In the presenc

Lab Rats Math 9.5 Rigor 1 ·  January 20, 2026

Hilbert Space-Valued LQ Mean Field Games: An Infinite-Dimensional Analysis

This paper presents a comprehensive study of linear-quadratic (LQ) mean field games (MFGs) in Hilbert spaces, generalizing the classic LQ MFG theory to scenarios involving $N$ agents with dynamics governed by infinite-dimensional stochastic equations. In this framework, both state and control proces

Lab Rats Math 9.5 Rigor 1 ·  March 1, 2024

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