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Impacts of an expert’s opinion on the collective performance of a competing population for limited resources

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  • Xu, C.
  • Gu, G.-Q.
  • Hui, P.M.

Abstract

The dissemination of information and opinion to the public has never been easier due to the easy access to platforms, making it necessary to study the responses to public information by a competing population. We study the impact of an expert’s opinion on the performance of a population including some die-hard fans of the expert and cautious agents who will adapt to trust or to ignore the expert’s opinion, within the framework of the minority game (MG). The expert collects information by probing a subpopulation for its minority opinion without the knowledge of its composition. When the information is not disseminated, the expert’s opinion has a higher accuracy than the intrinsic success rate of the population. When the information is disseminated, the population could enhance its success rate by making use of the wasted winning quotas through the actions of the fans and the adaptive ability of the cautious agents, as long as the fraction of the fans is not too big to turn the expert’s opinion into the losing option. There exists an optimal fraction of followers, the fans plus those cautious agents adapted to trust the expert, for the population to be the most harmonious with the highest success rate allowed by MG. The phenomena observed by numerical simulations motivated us to develop a theory, using the intrinsic success rate SrI, a quantity related to how the expert collects his information, and the average adapted level of trust f¯ among the cautious agents as inputs. The theory gives excellent agreement with simulation results, even when an approximated form of f¯ is invoked. The work paves the way for studying and formulating theories for the dissemination of other forms of information and opinion.

Suggested Citation

  • Xu, C. & Gu, G.-Q. & Hui, P.M., 2024. "Impacts of an expert’s opinion on the collective performance of a competing population for limited resources," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    • Handle: RePEc:eee:chsofr:v:183:y:2024:i:c:s0960077924004570
    DOI: 10.1016/j.chaos.2024.114905
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    References listed on IDEAS

    as
    1. Zheng, Dafang & Wang, Bing-Hong, 2001. "Statistical properties of the attendance time series in the minority game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 301(1), pages 560-566.
    2. Johnson, N.F & Hui, P.M & Zheng, Dafang & Tai, C.W, 1999. "Minority game with arbitrary cutoffs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 269(2), pages 493-502.
    3. Chakrabarti, Anindya Sundar & Chakrabarti, Bikas K. & Chatterjee, Arnab & Mitra, Manipushpak, 2009. "The Kolkata Paise Restaurant problem and resource utilization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(12), pages 2420-2426.
    4. Lee, Kuen & Hui, P.M. & Johnson, N.F., 2003. "The minority game with different payoff functions: crowd–anticrowd theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 321(1), pages 309-317.
    5. Zapart, Christopher A., 2009. "On entropy, financial markets and minority games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(7), pages 1157-1172.
    6. Johnson, N.F. & Jarvis, S. & Jonson, R. & Cheung, P. & Kwong, Y.R. & Hui, P.M., 1998. "Volatility and agent adaptability in a self-organizing market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 258(1), pages 230-236.
    7. Challet, Damien & Marsili, Matteo & Zhang, Yi-Cheng, 2013. "Minority Games: Interacting agents in financial markets," OUP Catalogue, Oxford University Press, number 9780199686698, December.
    8. Acosta, Gabriel & Caridi, Inés & Guala, Sebastián & Marenco, Javier, 2012. "The Full Strategy Minority Game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 217-230.
    9. Challet, Damien & Marsili, Matteo & Zhang, Yi-Cheng, 2001. "Stylized facts of financial markets and market crashes in Minority Games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 294(3), pages 514-524.
    10. Lingyun Chen, 2020. "Complex Network Minority Game Model for the Financial Market Modeling and Simulation," Complexity, Hindawi, vol. 2020, pages 1-11, November.
    11. M. Hart & P. Jefferies & P.M. Hui & N.F. Johnson, 2001. "Crowd-anticrowd theory of multi-agent market games," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 20(4), pages 547-550, April.
    12. Johnson, Neil F. & Jefferies, Paul & Hui, Pak Ming, 2003. "Financial Market Complexity," OUP Catalogue, Oxford University Press, number 9780198526650, December.
    13. Challet, D. & Zhang, Y.-C., 1997. "Emergence of cooperation and organization in an evolutionary game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(3), pages 407-418.
    14. Tim Ritmeester & Hildegard Meyer-Ortmanns, 2021. "The cavity method for minority games between arbitrageurs on financial markets," Papers 2111.06663, arXiv.org, revised Feb 2022.
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