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Herd Behavior in Optimal Investment: A Dual-Agent Approach with Investment Opinion and Rational Decision Decomposition

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  • Huisheng Wang
  • H. Vicky Zhao

Abstract

In this paper, we study the optimal investment problem involving two agents, where the decision of one agent is influenced by the other. To measure the distance between two agents' decisions, we introduce the average deviation. We formulate the stochastic optimal control problem considering herd behavior and derive the analytical solution through the variational method. We theoretically analyze the impact of users' herd behavior on the optimal decision by decomposing it into their rational decisions, which is called the rational decision decomposition. Furthermore, to quantify the preference for their rational decision over that of the other agent, we introduce the agent's investment opinion. Our study is validated through simulations on real stock data.

Suggested Citation

  • Huisheng Wang & H. Vicky Zhao, 2024. "Herd Behavior in Optimal Investment: A Dual-Agent Approach with Investment Opinion and Rational Decision Decomposition," Papers 2401.07183, arXiv.org.
    • Handle: RePEc:arx:papers:2401.07183
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    References listed on IDEAS

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    1. Chang, Eric C. & Cheng, Joseph W. & Khorana, Ajay, 2000. "An examination of herd behavior in equity markets: An international perspective," Journal of Banking & Finance, Elsevier, vol. 24(10), pages 1651-1679, October.
    2. Juan‐Pedro Gómez & Richard Priestley & Fernando Zapatero, 2009. "Implications of Keeping‐Up‐with‐the‐Joneses Behavior for the Equilibrium Cross Section of Stock Returns: International Evidence," Journal of Finance, American Finance Association, vol. 64(6), pages 2703-2737, December.
    3. David Hirshleifer & Siew Hong Teoh, 2003. "Herd Behaviour and Cascading in Capital Markets: a Review and Synthesis," European Financial Management, European Financial Management Association, vol. 9(1), pages 25-66, March.
    4. Jeffrey R. Brown & Zoran Ivković & Paul A. Smith & Scott Weisbenner, 2008. "Neighbors Matter: Causal Community Effects and Stock Market Participation," Journal of Finance, American Finance Association, vol. 63(3), pages 1509-1531, June.
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