IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i9p1550-d808717.html
   My bibliography  Save this article

The Effect of Bounded Rationality on Human Cooperation with Voluntary Participation

Author

Listed:
  • Luhe Yang

    (Institute for Interdisciplinary Quantum Information Technology, Jilin Engineering Normal University, Changchun 130052, China
    Jilin Engineering Laboratory for Quantum Information Technology, Changchun 130052, China)

  • Duoxing Yang

    (National Institute of Natural Hazards, Ministry of Emergency Management of China, Beijing 100085, China)

  • Lianzhong Zhang

    (School of Physics, Nankai University, Tianjin 300071, China)

Abstract

The evolution of human cooperation is an important issue concerning social science. A deep understanding of human bounded rationality is a prerequisite for promoting collective cooperation and solving social dilemmas. Here we construct an asymmetric micro-dynamic based on bounded rationality from a micro perspective by combining behavioral economics and cognitive psychology with evolutionary game theory. Asynchronously updated Monte Carlo simulations were conducted where individuals were located on a square lattice to play a voluntary public goods game. The results showed that “free riding” behaviors can be effectively suppressed in most situations. The cooperation level can be obviously enhanced in a population comprising easily satisfied cooperators and greedy defectors. Moreover, essential conditions for the stability of the system are further discussed at the microscopic level, and altruistic behavior can be explained that an individual with lower expectations for or underestimation of a single game is more likely to cooperate. We argue that, compared to traditional approaches, the integration of interdisciplinary ideas should be taken more seriously.

Suggested Citation

  • Luhe Yang & Duoxing Yang & Lianzhong Zhang, 2022. "The Effect of Bounded Rationality on Human Cooperation with Voluntary Participation," Mathematics, MDPI, vol. 10(9), pages 1-12, May.
  • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1550-:d:808717
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/9/1550/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/10/9/1550/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    2. Amos Tversky & Daniel Kahneman, 1991. "Loss Aversion in Riskless Choice: A Reference-Dependent Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(4), pages 1039-1061.
    3. Ernst Fehr & Simon Gächter, 2002. "Altruistic punishment in humans," Nature, Nature, vol. 415(6868), pages 137-140, January.
    4. Quan, Ji & Zhou, Yawen & Wang, Xianjia & Yang, Jian-Bo, 2020. "Evidential reasoning based on imitation and aspiration information in strategy learning promotes cooperation in optional spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    5. Selten, Reinhard, 1998. "Features of experimentally observed bounded rationality," European Economic Review, Elsevier, vol. 42(3-5), pages 413-436, May.
    6. Ernst Fehr & Ivo Schurtenberger, 2018. "Normative foundations of human cooperation," Nature Human Behaviour, Nature, vol. 2(7), pages 458-468, July.
    7. Manfred Milinski & Dirk Semmann & Hans-Jürgen Krambeck, 2002. "Reputation helps solve the ‘tragedy of the commons’," Nature, Nature, vol. 415(6870), pages 424-426, January.
    8. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    9. Hisashi Ohtsuki & Christoph Hauert & Erez Lieberman & Martin A. Nowak, 2006. "A simple rule for the evolution of cooperation on graphs and social networks," Nature, Nature, vol. 441(7092), pages 502-505, May.
    10. Kahneman, Daniel & Knetsch, Jack L & Thaler, Richard H, 1990. "Experimental Tests of the Endowment Effect and the Coase Theorem," Journal of Political Economy, University of Chicago Press, vol. 98(6), pages 1325-1348, December.
    11. Schlag, Karl H., 1998. "Why Imitate, and If So, How?, : A Boundedly Rational Approach to Multi-armed Bandits," Journal of Economic Theory, Elsevier, vol. 78(1), pages 130-156, January.
    12. Agiza, H.N. & Hegazi, A.S. & Elsadany, A.A., 2002. "Complex dynamics and synchronization of a duopoly game with bounded rationality," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 58(2), pages 133-146.
    13. Yang, Luhe & Zhang, Lianzhong & Yang, Duoxing, 2022. "Asymmetric micro-dynamics in spatial anonymous public goods game," Applied Mathematics and Computation, Elsevier, vol. 415(C).
    14. Schlag, Karl H., 1998. "Why Imitate, and If So, How?, : A Boundedly Rational Approach to Multi-armed Bandits," Journal of Economic Theory, Elsevier, vol. 78(1), pages 130-156, January.
    15. Liu, Chen & Shi, Juan & Li, Tong & Liu, Jinzhuo, 2019. "Aspiration driven coevolution resolves social dilemmas in networks," Applied Mathematics and Computation, Elsevier, vol. 342(C), pages 247-254.
    16. Herbert A. Simon, 1991. "Bounded Rationality and Organizational Learning," Organization Science, INFORMS, vol. 2(1), pages 125-134, February.
    17. Du, Jinming, 2019. "Redistribution promotes cooperation in spatial public goods games under aspiration dynamics," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Bruno Antonio Pansera & Massimiliano Ferrara & Luca Guerrini & Tiziana Ciano, 2023. "Preface to the Special Issue on “Differential Games and Its Applications”," Mathematics, MDPI, vol. 11(13), pages 1-4, July.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yang, Luhe & Zhang, Lianzhong & Yang, Duoxing, 2022. "Asymmetric micro-dynamics in spatial anonymous public goods game," Applied Mathematics and Computation, Elsevier, vol. 415(C).
    2. Teck H. Ho & Noah Lim & Colin Camerer, 2005. "Modeling the Psychology of Consumer and Firm Behavior with Behavioral Economics," Levine's Bibliography 784828000000000476, UCLA Department of Economics.
    3. Ulrich Schmidt & Horst Zank, 2012. "A genuine foundation for prospect theory," Journal of Risk and Uncertainty, Springer, vol. 45(2), pages 97-113, October.
    4. Han Bleichrodt, 2002. "A new explanation for the difference between time trade‐off utilities and standard gamble utilities," Health Economics, John Wiley & Sons, Ltd., vol. 11(5), pages 447-456, July.
    5. Joost M. E. Pennings & Ale Smidts, 2003. "The Shape of Utility Functions and Organizational Behavior," Management Science, INFORMS, vol. 49(9), pages 1251-1263, September.
    6. Fershtman, Chaim, 1996. "On the value of incumbency managerial reference points and loss aversion," Journal of Economic Psychology, Elsevier, vol. 17(2), pages 245-257, April.
    7. Zuzana Gocmanová & Jaromír Skorkovský & Štěpán Veselý & Jan Böhm, 2019. "Where Do You Want to Go Skiing? The Effect of the Reference Point and Loss Aversion," Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis, Mendel University Press, vol. 67(1), pages 243-252.
    8. Simon Gächter & Eric J. Johnson & Andreas Herrmann, 2022. "Individual-level loss aversion in riskless and risky choices," Theory and Decision, Springer, vol. 92(3), pages 599-624, April.
    9. repec:cup:judgdm:v:7:y:2012:i:4:p:462-471 is not listed on IDEAS
    10. Mohammed Abdellaoui & Han Bleichrodt & Corina Paraschiv, 2007. "Loss Aversion Under Prospect Theory: A Parameter-Free Measurement," Management Science, INFORMS, vol. 53(10), pages 1659-1674, October.
    11. Maximilian Rüdisser & Raphael Flepp & Egon Franck, 2017. "Do casinos pay their customers to become risk-averse? Revising the house money effect in a field experiment," Experimental Economics, Springer;Economic Science Association, vol. 20(3), pages 736-754, September.
    12. Roth, Gerrit, 2006. "Predicting the Gap between Willingness to Accept and Willingness to Pay," Munich Dissertations in Economics 4901, University of Munich, Department of Economics.
    13. Wenhui Zhou & Dongmei Wang & Weixiang Huang & Pengfei Guo, 2021. "To Pool or Not to Pool? The Effect of Loss Aversion on Queue Configurations," Production and Operations Management, Production and Operations Management Society, vol. 30(11), pages 4258-4272, November.
    14. Monika Bolek & Rafal Wolski, 2019. "Rationality of more and less experienced groups of finance professionals. Example of Poland," Proceedings of International Academic Conferences 9912031, International Institute of Social and Economic Sciences.
    15. Antonio Cabrales & José-Ramón Uriarte, 2013. "Doubts and equilibria," Journal of Evolutionary Economics, Springer, vol. 23(4), pages 783-810, September.
    16. Per Engström & Katarina Nordblom & Henry Ohlsson & Annika Persson, 2015. "Tax Compliance and Loss Aversion," American Economic Journal: Economic Policy, American Economic Association, vol. 7(4), pages 132-164, November.
    17. Alex Markle & George Wu & Rebecca White & Aaron Sackett, 2018. "Goals as reference points in marathon running: A novel test of reference dependence," Journal of Risk and Uncertainty, Springer, vol. 56(1), pages 19-50, February.
    18. Isabel Günther & Johannes K. Maier, 2014. "Poverty, Vulnerability, and Reference-Dependent Utility," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 60(1), pages 155-181, March.
    19. Tovar, Patricia, 2009. "The effects of loss aversion on trade policy: Theory and evidence," Journal of International Economics, Elsevier, vol. 78(1), pages 154-167, June.
    20. Sanguineti, Francesca & Majocchi, Antonio & Cavusgil, S. Tamer, 2022. "Founding entrepreneur’s dilemma: Stay or exit the firm following an acquisition? An international comparison," International Business Review, Elsevier, vol. 31(1).
    21. M. Levy, 2010. "Loss aversion and the price of risk," Quantitative Finance, Taylor & Francis Journals, vol. 10(9), pages 1009-1022.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1550-:d:808717. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.