Papers, ranked by score

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

Mean-Field Price Formation on Trees with a Network of Relative Performance Concerns

Financial firms and institutional investors are routinely evaluated based on their performance relative to their peers. These relative performance concerns significantly influence risk-taking behavior and market dynamics. While the literature studying Nash equilibrium under such relative performance

Lab Rats Math 8.5 Rigor 2 ·  December 25, 2025

Mean-Field Price Formation on Trees with Multi-Population and Non-Rational Agents

This work solves the equilibrium price formation problem for the risky stock by combining mean-field game theory with the binomial tree framework, adapting the classic approach of Cox, Ross & Rubinstein. For agents with exponential and recursive utilities of exponential-type, we prove the existence

Lab Rats Math 8.5 Rigor 2 ·  October 13, 2025

Mean-field equilibrium price formation with exponential utility

In this paper, using the mean-field game theory, we study a problem of equilibrium price formation among many investors with exponential utility in the presence of liabilities unspanned by the security prices. The investors are heterogeneous in their initial wealth, risk-averseness parameter, as wel

Lab Rats Math 9.2 Rigor 1.5 ·  April 14, 2023

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