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Kinetic models of collective decision-making in the presence of equality bias

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  • Pareschi, Lorenzo
  • Vellucci, Pierluigi
  • Zanella, Mattia

Abstract

We introduce and discuss kinetic models describing the influence of the competence in the evolution of decisions in a multi-agent system. The original exchange mechanism, which is based on the human tendency to compromise and change opinion through self-thinking, is here modified to include the role of the agents’ competence. In particular, we take into account the agents’ tendency to behave in the same way as if they were as good, or as bad, as their partner: the so-called equality bias. This occurred in a situation where a wide gap separated the competence of group members. We discuss the main properties of the kinetic models and numerically investigate some examples of collective decision under the influence of the equality bias. The results confirm that the equality bias leads the group to suboptimal decisions.

Suggested Citation

  • Pareschi, Lorenzo & Vellucci, Pierluigi & Zanella, Mattia, 2017. "Kinetic models of collective decision-making in the presence of equality bias," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 201-217.
    • Handle: RePEc:eee:phsmap:v:467:y:2017:i:c:p:201-217
    DOI: 10.1016/j.physa.2016.10.003
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    References listed on IDEAS

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    1. Galam, Serge & Zucker, Jean-Daniel, 2000. "From individual choice to group decision-making," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 287(3), pages 644-659.
    2. Lorenzo Pareschi & Giuseppe Toscani, 2014. "Wealth distribution and collective knowledge. A Boltzmann approach," Papers 1401.4550, arXiv.org.
    3. Galam, Serge, 1997. "Rational group decision making: A random field Ising model at T = 0," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 238(1), pages 66-80.
    4. Giuseppe Carbone & Ilaria Giannoccaro, 2015. "Model of human collective decision-making in complex environments," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 88(12), pages 1-10, December.
    5. Pareschi, Lorenzo & Toscani, Giuseppe, 2013. "Interacting Multiagent Systems: Kinetic equations and Monte Carlo methods," OUP Catalogue, Oxford University Press, number 9780199655465, Decembrie.
    6. Anirban Chakraborti & Bikas K. Chakrabarti, 2000. "Statistical mechanics of money: How saving propensity affects its distribution," Papers cond-mat/0004256, arXiv.org, revised Jun 2000.
    7. Harvey, Nigel & Fischer, Ilan, 1997. "Taking Advice: Accepting Help, Improving Judgment, and Sharing Responsibility," Organizational Behavior and Human Decision Processes, Elsevier, vol. 70(2), pages 117-133, May.
    8. A. Chakraborti & B.K. Chakrabarti, 2000. "Statistical mechanics of money: how saving propensity affects its distribution," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 17(1), pages 167-170, September.
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    Cited by:

    1. Zanella, Mattia, 2020. "Structure preserving stochastic Galerkin methods for Fokker–Planck equations with background interactions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 168(C), pages 28-47.
    2. Wang, Lingling & Lai, Shaoyong & Sun, Rongmei, 2022. "Optimal control about multi-agent wealth exchange and decision-making competence," Applied Mathematics and Computation, Elsevier, vol. 417(C).
    3. J. Franceschi & L. Pareschi & M. Zanella, 2022. "From agent-based models to the macroscopic description of fake-news spread: the role of competence in data-driven applications," Partial Differential Equations and Applications, Springer, vol. 3(6), pages 1-26, December.
    4. Loretta Mastroeni & Maurizio Naldi & Pierluigi Vellucci, 2019. "Personal Finance Decisions with Untruthful Advisors: an Agent-Based Model," Papers 1909.06759, arXiv.org.
    5. Pierluigi Vellucci, 2021. "A critique of financial neoliberalism: a perspective combining multidisciplinary methods and commodity markets," SN Business & Economics, Springer, vol. 1(3), pages 1-11, March.

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