IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v370y2020ics0096300319308811.html
   My bibliography  Save this article

Evolutionary dynamics of a 3-strategy game: Cooperator, defector and costly cooperative loner strategic types

Author

Listed:
  • Iwamura, Yoshiro
  • Nagashima, Keisuke
  • Tanimoto, Jun

Abstract

Limiting the analysis to the so-called prisoner's dilemma situation, a new framework of 3-strategy game is proposed herein by adding a costly cooperative loner (CL) to the original strategies; cooperator and defector. Relaying on the replicator dynamics that presumes an infinite and well-mixed population, a set of equilibria is deliberately drawn. In contrast to the expectations from this study, the introduction of CL did not substantially alter the evolutionary trails and always ended with all-defectors state. Some arguments on why such counter-intuitive result comes about is are discussed. The outcomes are justified by the CL's dependency on the other two strategic types and the reduced power in foiling defectors compared to the paradigmatic costly punisher model.

Suggested Citation

  • Iwamura, Yoshiro & Nagashima, Keisuke & Tanimoto, Jun, 2020. "Evolutionary dynamics of a 3-strategy game: Cooperator, defector and costly cooperative loner strategic types," Applied Mathematics and Computation, Elsevier, vol. 370(C).
    • Handle: RePEc:eee:apmaco:v:370:y:2020:i:c:s0096300319308811
    DOI: 10.1016/j.amc.2019.124889
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300319308811
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2019.124889?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Joseph Henrich, 2001. "In Search of Homo Economicus: Behavioral Experiments in 15 Small-Scale Societies," American Economic Review, American Economic Association, vol. 91(2), pages 73-78, May.
    2. Samuel Bowles & Robert Boyd & Colin Camerer & Ernst Fehr & Herbert Gintis & Joseph Henrich & Richard McElreath, 2001. "In search of homo economicus: Experiments in 15 small-scale societies," Artefactual Field Experiments 00068, The Field Experiments Website.
    3. Zhen Wang & Marko Jusup & Lei Shi & Joung-Hun Lee & Yoh Iwasa & Stefano Boccaletti, 2018. "Exploiting a cognitive bias promotes cooperation in social dilemma experiments," Nature Communications, Nature, vol. 9(1), pages 1-7, December.
    4. Wang, Qiang & He, Nanrong & Chen, Xiaojie, 2018. "Replicator dynamics for public goods game with resource allocation in large populations," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 162-170.
    5. Huang, Keke & Chen, Xiaofang & Yu, Zhaofei & Yang, Chunhua & Gui, Weihua, 2018. "Heterogeneous cooperative belief for social dilemma in multi-agent system," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 572-579.
    6. Xuelong Li & Marko Jusup & Zhen Wang & Huijia Li & Lei Shi & Boris Podobnik & H. Eugene Stanley & Shlomo Havlin & Stefano Boccaletti, 2018. "Punishment diminishes the benefits of network reciprocity in social dilemma experiments," Proceedings of the National Academy of Sciences, Proceedings of the National Academy of Sciences, vol. 115(1), pages 30-35, January.
    7. Franziska Michor & Martin A. Nowak, 2002. "The good, the bad and the lonely," Nature, Nature, vol. 419(6908), pages 677-679, October.
    8. Hajime Shimao & Mayuko Nakamaru, 2013. "Strict or Graduated Punishment? Effect of Punishment Strictness on the Evolution of Cooperation in Continuous Public Goods Games," PLOS ONE, Public Library of Science, vol. 8(3), pages 1-10, March.
    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. Zhang, Qianran & Ma, Shoufeng & Tian, Junfang & Rose, John M. & Jia, Ning, 2022. "Mode choice between autonomous vehicles and manually-driven vehicles: An experimental study of information and reward," Transportation Research Part A: Policy and Practice, Elsevier, vol. 157(C), pages 24-39.
    2. Li, Wen-Jing & Jiang, Luo-Luo & Perc, Matjaž, 2021. "A limited mobility of minorities facilitates cooperation in social dilemmas," Applied Mathematics and Computation, Elsevier, vol. 391(C).
    3. Shi, Juan & Hu, Die & Tao, Rui & Peng, Yunchen & Li, Yong & Liu, Jinzhuo, 2021. "Interaction between populations promotes cooperation in voluntary prisoner's dilemma," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    4. Pouradier Duteil, Nastassia & Salvarani, Francesco, 2021. "Kinetic approach to the collective dynamics of the rock-paper-scissors binary game," Applied Mathematics and Computation, Elsevier, vol. 388(C).

    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. Liu, Run-Ran & Jia, Chun-Xiao & Rong, Zhihai, 2019. "Effects of enhancement level on evolutionary public goods game with payoff aspirations," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 242-248.
    2. Xiaofeng Wang & Xiaojie Chen & Long Wang, 2020. "Evolution of egalitarian social norm by resource management," PLOS ONE, Public Library of Science, vol. 15(1), pages 1-16, January.
    3. Wu, Yu’e & Zhang, Zhipeng & Chang, Shuhua, 2019. "Reciprocal reward promotes the evolution of cooperation in structured populations," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 230-236.
    4. He, Nanrong & Chen, Xiaojie & Szolnoki, Attila, 2019. "Central governance based on monitoring and reporting solves the collective-risk social dilemma," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 334-341.
    5. Wang, Mengyao & Pan, Qiuhui & He, Mingfeng, 2020. "Individuals with the firm heart are conducive to cooperation in social dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 137(C).
    6. Anne Corcos & Yorgos Rizopoulos, 2011. "Is prosocial behavior egocentric? The “invisible hand” of emotions," Post-Print halshs-01968213, HAL.
    7. Litina, Anastasia, 2012. "Unfavorable land endowment, cooperation, and reversal of fortune," MPRA Paper 39702, University Library of Munich, Germany.
    8. Liqi Zhu & Gerd Gigerenzer & Gang Huangfu, 2013. "Psychological Traces of China's Socio-Economic Reforms in the Ultimatum and Dictator Games," PLOS ONE, Public Library of Science, vol. 8(8), pages 1-6, August.
    9. Finocchiaro Castro, Massimo, 2008. "Where are you from? Cultural differences in public good experiments," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 37(6), pages 2319-2329, December.
    10. Frank Cowell & Marc Fleurbaey & Bertil Tungodden, 2015. "The tyranny puzzle in social preferences: an empirical investigation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(4), pages 765-792, December.
    11. Blair Cleave & Nikos Nikiforakis & Robert Slonim, 2013. "Is there selection bias in laboratory experiments? The case of social and risk preferences," Experimental Economics, Springer;Economic Science Association, vol. 16(3), pages 372-382, September.
    12. Ehmke, Mariah & Lusk, Jayson & Tyner, Wallace, 2010. "Multidimensional tests for economic behavior differences across cultures," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 39(1), pages 37-45, January.
    13. Wu, Yu’e & Zhang, Zhipeng & Yang, Guoli & Liu, Haixin & Zhang, Qingfeng, 2022. "Evolution of cooperation driven by diversity on a double-layer square lattice," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    14. Cordes, Christian & Richerson, Peter J. & Schwesinger, Georg, 2010. "How corporate cultures coevolve with the business environment: The case of firm growth crises and industry evolution," Journal of Economic Behavior & Organization, Elsevier, vol. 76(3), pages 465-480, December.
    15. Michel Zouboulakis, 2010. "Trustworthiness as a Moral Determinant of Economic Activity: Lessons from the Classics," Forum for Social Economics, Taylor & Francis Journals, vol. 39(3), pages 209-221, January.
    16. Kimbrough, E.O. & Vostroknutov, A., 2012. "Rules, rule-following and cooperation," Research Memorandum 053, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    17. Sun-Ki Chai & Dolgorsuren Dorj & Katerina Sherstyuk, 2018. "Cultural Values and Behavior in Dictator, Ultimatum, and Trust Games: An Experimental Study," Research in Experimental Economics, in: Experimental Economics and Culture, volume 20, pages 89-166, Emerald Group Publishing Limited.
    18. Anastasia Litina, 2016. "Natural land productivity, cooperation and comparative development," Journal of Economic Growth, Springer, vol. 21(4), pages 351-408, December.
    19. Maarten Voors & Eleonora Nillesen & Philip Verwimp & Erwin Bulte & Robert Lensink & Daan van Soest, 2010. "Does Conflict affect Preferences? Results from Field Experiments in Burundi," HiCN Working Papers 71, Households in Conflict Network.
    20. von Carnap-Bornheim, Tillmann, 2016. "Irrigation as a Determinant of Social Capital in India: A Large-Scale Survey Analysis," MPRA Paper 69270, University Library of Munich, Germany.

    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:eee:apmaco:v:370:y:2020:i:c:s0096300319308811. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.