Paper: arXiv 2405.08822

Authors: Zongxia Liang, Qi Ye

Abstract

This paper delves into financial markets that incorporate a novel form of heterogeneity among investors, specifically in terms of their beliefs regarding the reliability of signals in the business cycle economy model, which may be biased. Unlike most papers in this field, we not only analyze the equilibrium but also examine welfare using objective measures while investors aim to maximize their utility based on subjective measures. Furthermore, we introduce passive investors and use their utility as a benchmark, thereby revealing the phenomenon of double loss sometimes. In the analysis, we examine two effects: the distortion effect on total welfare and the advantage effect of information and highlight their key factors of influence, with a particular emphasis on the proportion of investors. We also demonstrate that manipulating investors’ estimation towards the economy can be a way to improve utility and identify an inner connection between welfare and survival.

Complexity vs Empirical Score

  • Math Complexity: 7.5/10
  • Empirical Rigor: 2.5/10
  • Quadrant: Lab Rats — theoretically deep, empirically untested

Why this score: The paper relies heavily on theoretical modeling, general equilibrium formulations, and utility optimization involving subjective versus objective belief measures, yielding a strong math score. However, it lacks empirical validation, backtesting, or historical market datasets, leaving its real-world implementation unexamined.

Research Flowchart

  flowchart TD
    A[Research Goal: Evaluate Investor Welfare & Equilibrium<br/>with Biased Signal Beliefs] --> B[Model Setup: Business Cycle Economy<br/>with Heterogeneous & Passive Investors]
    B --> C[Inputs: Objective Signal Reliability vs.<br/>Subjective Beliefs & Investor Proportions]
    C --> D[Computational Analysis: Measure Distortion Effect,<br/>Advantage Effect & Subjective/Objective Utility]
    D --> E[Key Finding 1: All Informed Investors Incur Welfare Loss<br/>Despite Absolute Information Advantage]
    D --> F[Key Finding 2: Belief Manipulation Can Boost Utility;<br/>Inner Connection Identified Between Welfare & Survival]