Papers, ranked by score

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

Non-Concave Utility Maximization with Transaction Costs

This paper studies a finite-horizon portfolio selection problem with non-concave terminal utility and proportional transaction costs, in which the commonly used concavification principle for terminal value is no longer applicable. We establish a proper theoretical characterization of this problem vi

Lab Rats Math 8.5 Rigor 3 ·  July 5, 2023

Existence of Optimal Contracts for Principal-Agent Problem with Drift Control and Quadratic Effort Cost

The existence of optimal contracts of the principal-agent problem is a long-standing problem. According to the general framework in Cvitanić et al. [2], this existence can be derived from the existence of a classical solution to a degenerated fully nonlinear parabolic partial differential equation p

Lab Rats Math 9.5 Rigor 1.5 ·  March 11, 2025

Comparative Statics of Trading Boundary in Finite Horizon Portfolio Selection with Proportional Transaction Costs

We consider Merton’s problem with proportional transaction costs. It is well known that the optimal investment strategy is characterized by two trading boundaries, the buy boundary and the sell boundary, between which lies the no-trading region. We investigate how these two trading boundaries vary w

Lab Rats Math 8.5 Rigor 1.5 ·  December 18, 2024

Robust Equilibrium Strategy for Mean-Variance Portfolio Selection

The classical mean-variance portfolio selection problem induces time-inconsistent (precommited) strategies (see Zhou and Li (2000)). To overcome this time-inconsistency, Basak and Chabakauri (2010) introduce the game theoretical approach and look for (sub-game perfect Nash) equilibrium strategies, w

Lab Rats Math 8.5 Rigor 1.5 ·  May 11, 2023

Regularity of a Multidimensional Principal-Agent Problem with Separable Effort Costs

This paper studies the regularity of the value function arising from a multidimensional continuous-time principal-agent model with separable, nonquadratic effort costs. The associated stochastic control problem has the output and the agent’s continuation utility as state variables, and its Hamilton-

Lab Rats Math 9 Rigor 1 ·  September 16, 2026

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