Papers, ranked by score

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

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

Equilibrium Investment with Random Risk Aversion: (Non-)uniqueness, Optimality, and Comparative Statics

This paper studies a continuous-time portfolio selection problem under a general distribution of random risk aversion (RRA). We provide a complete characterization of all deterministic equilibrium strategies in closed form. Our results show that the structure of the solution depends crucially on the

Lab Rats Math 8.5 Rigor 1.5 ·  November 30, 2025

An Integral Equation in Portfolio Selection with Time-Inconsistent Preferences

This paper discusses a nonlinear integral equation arising from portfolio selection with a class of time-inconsistent preferences. We propose a unified framework requiring minimal assumptions, such as right-continuity of market coefficients and square-integrability of the market price of risk. Our m

Lab Rats Math 8.5 Rigor 1.5 ·  December 3, 2024

Time-Consistent Portfolio Selection for Rank-Dependent Utilities in an Incomplete Market

We investigate the portfolio selection problem for an agent with rank-dependent utility in an incomplete financial market. For a constant-coefficient market and CRRA utilities, we characterize the deterministic strict equilibrium strategies. In the case of time-invariant probability weighting functi

Lab Rats Math 8.5 Rigor 1.5 ·  September 28, 2024

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