Papers, ranked by score

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

A Mean-Field Game of Market Entry: Portfolio Liquidation with Trading Constraints

We consider both $N$-player and mean-field games of optimal portfolio liquidation in which the players are not allowed to change the direction of trading. Players with an initially short position of stocks are only allowed to buy while players with an initially long position are only allowed to sell

Lab Rats Math 9.2 Rigor 1.5 ·  March 15, 2024

Mean Field Portfolio Games with Epstein-Zin Preferences

We study mean field portfolio games under Epstein-Zin preferences, which naturally encompass the classical time-additive power utility as a special case. In a general non-Markovian framework, we establish a uniqueness result by proving a one-to-one correspondence between Nash equilibria and the solu

Lab Rats Math 9 Rigor 1.5 ·  May 12, 2025

Mean-Field Liquidation Games with Market Drop-out

We consider a novel class of portfolio liquidation games with market drop-out (“absorption”). More precisely, we consider mean-field and finite player liquidation games where a player drops out of the market when her position hits zero. In particular round-trips are not admissible. This can be viewe

Lab Rats Math 9 Rigor 1.5 ·  March 10, 2023

Long Time Behavior of Optimal Liquidation Problems

In this paper, we study the long time behavior of an optimal liquidation problem with semimartingale strategies and external flows. To investigate the limit rigorously, we study the convergence of three BSDEs characterizing the value function and the optimal strategy, from finite horizon to infinite

Lab Rats Math 8.5 Rigor 1.5 ·  May 23, 2024

Stochastic Control Problems with Infinite Horizon and Regime Switching Arising in Optimal Liquidation with Semimartingale Strategies

We study an optimal control problem on infinite time horizon with semimartingale strategies, random coefficients and regime switching. The value function and the optimal strategy can be characterized in terms of three systems of backward stochastic differential equations (BSDEs) with infinite horizo

Lab Rats Math 9 Rigor 1 ·  February 24, 2026

A System of BSDEs with Singular Terminal Values Arising in Optimal Liquidation with Regime Switching

We study a stochastic control problem with regime switching arising in an optimal liquidation problem with dark pools and multiple regimes. The new feature of this model is that it introduces a system of BSDEs with jumps and with singular terminal values, which appears in literature for the first ti

Lab Rats Math 9 Rigor 1 ·  December 26, 2024

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