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Evolutionary dynamics of information in the market: Transmission and trust

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  • Zheng, Liping
  • Xu, Hedong
  • Tian, Cunzhi
  • Fan, Suohai

Abstract

Information that contains profit or loss is transmitted by investors in markets. The information transmission depends on both the sharer and the receiver. To illustrate the information flows in the market, the information processing game is proposed. Investors have two strategies in this game, including the continuous sharing proportion of their information and the discrete trusting strategy. Based on the learning mechanism in the particle swarm optimization, the simulation on Watts–Strogatz (WS) small-world networks shows that investors are sensitive to the information quality in markets, leading to the extreme distribution of strategies. When the market is full of rumors, investors will prefer to share everything but trust nothing, pursuing fewer losses. When the market is full of true words, investors will prefer to share nothing but trust their neighbors, pursuing more payoffs. Inappropriate trusting strategies bring greater losses or fewer payoffs to investors. Everyone may lie and create noise when communicating his/her strategies and payoffs with his/her neighbors. Noise does not affect the final state of investors’ strategies equilibrium, but it reduces the ability of investors to distinguish the quality of information, which reduces the transmission speed of real information among investors. As a result, investors spend more time on information or value exchange and strategies updating, which slows down the speed of strategy evolution.

Suggested Citation

  • Zheng, Liping & Xu, Hedong & Tian, Cunzhi & Fan, Suohai, 2021. "Evolutionary dynamics of information in the market: Transmission and trust," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 581(C).
  • Handle: RePEc:eee:phsmap:v:581:y:2021:i:c:s037843712100501x
    DOI: 10.1016/j.physa.2021.126228
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    References listed on IDEAS

    as
    1. Xu, Hedong & Tian, Cunzhi & Ye, Wenxing & Fan, Suohai, 2018. "Effects of investors’ power correlations in the power-based game on networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 424-432.
    2. Wang, Xianjia & Lv, Shaojie & Quan, Ji, 2017. "The evolution of cooperation in the Prisoner’s Dilemma and the Snowdrift game based on Particle Swarm Optimization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 482(C), pages 286-295.
    3. Jianlei Zhang & Chunyan Zhang & Tianguang Chu & Matjaž Perc, 2011. "Resolution of the Stochastic Strategy Spatial Prisoner's Dilemma by Means of Particle Swarm Optimization," PLOS ONE, Public Library of Science, vol. 6(7), pages 1-7, July.
    4. Réka Albert & Hawoong Jeong & Albert-László Barabási, 1999. "Diameter of the World-Wide Web," Nature, Nature, vol. 401(6749), pages 130-131, September.
    5. Ye, Wenxing & Feng, Weiying & Lü, Chen & Fan, Suohai, 2017. "Memory-based prisoner’s dilemma game with conditional selection on networks," Applied Mathematics and Computation, Elsevier, vol. 307(C), pages 31-37.
    6. Admati, Anat R & Pfleiderer, Paul, 1988. "Selling and Trading on Information in Financial Markets," American Economic Review, American Economic Association, vol. 78(2), pages 96-103, May.
    7. Darrell Duffie & Semyon Malamud & Gustavo Manso, 2009. "Information Percolation With Equilibrium Search Dynamics," Econometrica, Econometric Society, vol. 77(5), pages 1513-1574, September.
    8. Wang, Jiajia & Zhao, Laijun & Huang, Rongbing, 2014. "2SI2R rumor spreading model in homogeneous networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 413(C), pages 153-161.
    9. Xu, Hedong & Fan, Suohai & Tian, Cunzhi & Xiao, Xinrong, 2019. "Effect of strategy-assortativity on investor sharing games in the market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 211-225.
    10. Roland Benabou & Guy Laroque, 1992. "Using Privileged Information to Manipulate Markets: Insiders, Gurus, and Credibility," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(3), pages 921-958.
    11. Giovanni Cespa, 2008. "Information Sales and Insider Trading with Long‐Lived Information," Journal of Finance, American Finance Association, vol. 63(2), pages 639-672, April.
    12. Fama, Eugene F, 1970. "Efficient Capital Markets: A Review of Theory and Empirical Work," Journal of Finance, American Finance Association, vol. 25(2), pages 383-417, May.
    13. Admati, Anat R. & Pfleiderer, Paul, 1986. "A monopolistic market for information," Journal of Economic Theory, Elsevier, vol. 39(2), pages 400-438, August.
    14. Ye, Wenxing & Fan, Suohai, 2020. "Evolutionary traveler’s dilemma game based on particle swarm optimization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 544(C).
    15. Antoni Calvó-Armengol & Matthew O. Jackson, 2004. "The Effects of Social Networks on Employment and Inequality," American Economic Review, American Economic Association, vol. 94(3), pages 426-454, June.
    16. Zan, Yongli & Wu, Jianliang & Li, Ping & Yu, Qinglin, 2014. "SICR rumor spreading model in complex networks: Counterattack and self-resistance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 405(C), pages 159-170.
    17. Swami Iyer & Joshua Reyes & Timothy Killingback, 2014. "An Application of Evolutionary Game Theory to Social Dilemmas: The Traveler's Dilemma and the Minimum Effort Coordination Game," PLOS ONE, Public Library of Science, vol. 9(4), pages 1-11, April.
    18. Ni, Y.C. & Xu, C. & Hui, P.M. & Johnson, N.F., 2009. "Cooperative behavior in evolutionary snowdrift game with bounded rationality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(23), pages 4856-4862.
    19. Kokubo, Satoshi & Wang, Zhen & Tanimoto, Jun, 2015. "Spatial reciprocity for discrete, continuous and mixed strategy setups," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 552-568.
    20. Xu, Hedong & Tian, Cunzhi & Xiao, Xinrong & Fan, Suohai, 2018. "Evolutionary investors’ power-based game on networks," Applied Mathematics and Computation, Elsevier, vol. 330(C), pages 125-133.
    21. Wang, Jiajia & Zhao, Laijun & Huang, Rongbing, 2014. "SIRaRu rumor spreading model in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 398(C), pages 43-55.
    22. Quan, Ji & Yang, Xiukang & Wang, Xianjia, 2018. "Spatial public goods game with continuous contributions based on Particle Swarm Optimization learning and the evolution of cooperation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 973-983.
    23. Nagata, Katsuya & Shirayama, Susumu, 2012. "Method of analyzing the influence of network structure on information diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(14), pages 3783-3791.
    24. Tanimoto, Jun, 2017. "Coevolution of discrete, mixed, and continuous strategy systems boosts in the spatial prisoner's dilemma and chicken games," Applied Mathematics and Computation, Elsevier, vol. 304(C), pages 20-27.
    25. Li, Cong & Xu, Hedong & Fan, Suohai, 2021. "Evolutionary compromise game on assortative mixing networks," Applied Mathematics and Computation, Elsevier, vol. 390(C).
    26. Xu, Hedong & Fan, Suohai & Tian, Cunzhi & Xiao, Xinrong, 2019. "Evolutionary investor sharing game on networks," Applied Mathematics and Computation, Elsevier, vol. 340(C), pages 138-145.
    27. Ye, Wenxing & Fan, Suohai, 2017. "Evolutionary snowdrift game with rational selection based on radical evaluation," Applied Mathematics and Computation, Elsevier, vol. 294(C), pages 310-317.
    28. Zhao, Laijun & Xie, Wanlin & Gao, H. Oliver & Qiu, Xiaoyan & Wang, Xiaoli & Zhang, Shuhai, 2013. "A rumor spreading model with variable forgetting rate," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(23), pages 6146-6154.
    29. Admati, Anat R & Pfleiderer, Paul, 1990. "Direct and Indirect Sale of Information," Econometrica, Econometric Society, vol. 58(4), pages 901-928, July.
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