IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v449y2016icp215-223.html
   My bibliography  Save this article

Conditional dissociation as a punishment mechanism in the evolution of cooperation

Author

Listed:
  • Qu, Xinglong
  • Zhou, Changli
  • Cao, Zhigang
  • Yang, Xiaoguang

Abstract

Recent studies show that conditional dissociation, a.k.a. post-interaction partner-refusal, can promote the emergence and stability of cooperation. However, in most of these studies, players’ strategies are restricted to pure ones, which is obviously inconsistent with many biological and economic situations. Another concern with line of these studies is that conditional dissociation is often combined with other mechanisms. These mechanisms may favor cooperation per se, leaving it unclear whether conditional dissociation is indeed a key factor. In this paper, we study a clean model, pruning all the factors other than conditional dissociation that may favor cooperation. We find that conditional dissociation, which could be viewed as a variant of peer punishment, does promote cooperation, no matter whether mixed strategies are allowed or not. This confirms the previous findings in the literature. In addition, compared with the pure strategy scenario, cooperators are less competitive when mixed strategies are allowed. Our main finding is supported by both the numerical simulations and the theoretical analysis of Neutrally Stable Strategy. We also find that cooperative behavior is favored when waiting time and/or the population’s lifespan are longer.

Suggested Citation

  • Qu, Xinglong & Zhou, Changli & Cao, Zhigang & Yang, Xiaoguang, 2016. "Conditional dissociation as a punishment mechanism in the evolution of cooperation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 449(C), pages 215-223.
    • Handle: RePEc:eee:phsmap:v:449:y:2016:i:c:p:215-223
    DOI: 10.1016/j.physa.2015.12.128
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437115011656
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2015.12.128?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. Bin Wu & Da Zhou & Feng Fu & Qingjun Luo & Long Wang & Arne Traulsen, 2010. "Evolution of Cooperation on Stochastic Dynamical Networks," PLOS ONE, Public Library of Science, vol. 5(6), pages 1-7, June.
    2. Neyman, Abraham, 1985. "Bounded complexity justifies cooperation in the finitely repeated prisoners' dilemma," Economics Letters, Elsevier, vol. 19(3), pages 227-229.
    3. Filip Vesely & Chun-Lei Yang, 2013. "On Optimal Social Convention in Voluntary Continuation Prisoner's Dilemma Games," CESifo Working Paper Series 4553, CESifo.
    4. Vanberg, Viktor J. & Congleton, Roger D., 1992. "Rationality, Morality, and Exit," American Political Science Review, Cambridge University Press, vol. 86(2), pages 418-431, June.
    5. David Joyce & John Kennison & Owen Densmore & Stephen Guerin & Shawn Barr & Eric Charles & Nicholas S. Thompson, 2006. "My Way or the Highway: a More Naturalistic Model of Altruism Tested in an Iterative Prisoners' Dilemma," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 9(2), pages 1-4.
    6. Theodore C. Bergstrom, 2003. "The Algebra of Assortative Encounters and the Evolution of Cooperation," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 5(03), pages 211-228.
    7. Izquierdo, Luis R. & Izquierdo, Segismundo S. & Vega-Redondo, Fernando, 2014. "Leave and let leave: A sufficient condition to explain the evolutionary emergence of cooperation," Journal of Economic Dynamics and Control, Elsevier, vol. 46(C), pages 91-113.
    8. Karthik Panchanathan & Robert Boyd, 2004. "Indirect reciprocity can stabilize cooperation without the second-order free rider problem," Nature, Nature, vol. 432(7016), pages 499-502, November.
    9. Takako Fujiwara-Greve & Masahiro Okuno-Fujiwara, 2009. "Voluntarily Separable Repeated Prisoner's Dilemma," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(3), pages 993-1021.
    10. Rudolf Schuessler, 1989. "Exit Threats and Cooperation under Anonymity," Journal of Conflict Resolution, Peace Science Society (International), vol. 33(4), pages 728-749, December.
    11. Ernst Fehr & Simon Gächter, 2002. "Altruistic punishment in humans," Nature, Nature, vol. 415(6868), pages 137-140, January.
    12. Martin A. Nowak & Karl Sigmund, 1998. "Evolution of indirect reciprocity by image scoring," Nature, Nature, vol. 393(6685), pages 573-577, June.
    13. Martin A. Nowak & Akira Sasaki & Christine Taylor & Drew Fudenberg, 2004. "Emergence of cooperation and evolutionary stability in finite populations," Nature, Nature, vol. 428(6983), pages 646-650, April.
    14. M.A. Nowak & K. Sigmund, 1998. "Evolution of Indirect Reciprocity by Image Scoring/ The Dynamics of Indirect Reciprocity," Working Papers ir98040, International Institute for Applied Systems Analysis.
    15. Sethi, Rajiv & Somanathan, E, 1996. "The Evolution of Social Norms in Common Property Resource Use," American Economic Review, American Economic Association, vol. 86(4), pages 766-788, September.
    16. Ewart A. C. Thomas & Marcus W. Feldman, 1988. "Behavior-Dependent Contexts for Repeated Plays of the Prisoner's Dilemma," Journal of Conflict Resolution, Peace Science Society (International), vol. 32(4), pages 699-726, December.
    17. Martin A. Nowak & Karl Sigmund, 2005. "Evolution of indirect reciprocity," Nature, Nature, vol. 437(7063), pages 1291-1298, October.
    18. Karl Sigmund & Hannelore De Silva & Arne Traulsen & Christoph Hauert, 2010. "Social learning promotes institutions for governing the commons," Nature, Nature, vol. 466(7308), pages 861-863, August.
    19. Benoit, Jean-Pierre & Krishna, Vijay, 1985. "Finitely Repeated Games," Econometrica, Econometric Society, vol. 53(4), pages 905-922, July.
    Full references (including those not matched with items on IDEAS)

    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. Isamu Okada, 2020. "A Review of Theoretical Studies on Indirect Reciprocity," Games, MDPI, vol. 11(3), pages 1-17, July.
    2. Ding, Rui & Wang, Xianjia & Liu, Yang & Zhao, Jinhua & Gu, Cuiling, 2023. "Evolutionary games with environmental feedbacks under an external incentive mechanism," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    3. Swami Iyer & Timothy Killingback, 2020. "Evolution of Cooperation in Social Dilemmas with Assortative Interactions," Games, MDPI, vol. 11(4), pages 1-31, September.
    4. Wang, Xianjia & Ding, Rui & Zhao, Jinhua & Gu, Cuiling, 2022. "The rise and fall of cooperation in populations with multiple groups," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    5. Du, Faqi & Fu, Feng, 2013. "Quantifying the impact of noise on macroscopic organization of cooperation in spatial games," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 35-44.
    6. Quan, Ji & Nie, Jiacheng & Chen, Wenman & Wang, Xianjia, 2022. "Keeping or reversing social norms promote cooperation by enhancing indirect reciprocity," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    7. Christopher Graser & Takako Fujiwara-Greve & Julian García & Matthijs van Veelen, 2024. "Repeated games with partner choice," Tinbergen Institute Discussion Papers 24-038/I, Tinbergen Institute.
    8. Misato Inaba & Nobuyuki Takahashi, 2019. "Linkage Based on the Kandori Norm Successfully Sustains Cooperation in Social Dilemmas," Games, MDPI, vol. 10(1), pages 1-15, February.
    9. Wang, Xianjia & Ding, Rui & Zhao, Jinhua & Chen, Wenman, 2021. "The rise and fall of donation behavior through reputation," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    10. Ding, Rui & Wang, Xianjia & Zhao, Jinhua & Gu, Cuiling & Wang, Tao, 2023. "The evolution of cooperation in spatial public goods games under a risk-transfer mechanism," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    11. Fernando P Santos & Francisco C Santos & Jorge M Pacheco, 2016. "Social Norms of Cooperation in Small-Scale Societies," PLOS Computational Biology, Public Library of Science, vol. 12(1), pages 1-13, January.
    12. Christian Hilbe & Maria Kleshnina & Kateřina Staňková, 2023. "Evolutionary Games and Applications: Fifty Years of ‘The Logic of Animal Conflict’," Dynamic Games and Applications, Springer, vol. 13(4), pages 1035-1048, December.
    13. Tetsushi Ohdaira & Takao Terano, 2009. "Cooperation in the Prisoner's Dilemma Game Based on the Second-Best Decision," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 12(4), pages 1-7.
    14. Wang, Xianjia & Ding, Rui & Zhao, Jinhua & Chen, Wenman & Gu, Cuiling, 2022. "Competition of punishment and reward among inequity-averse individuals in spatial public goods games," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    15. Manapat, Michael L. & Nowak, Martin A. & Rand, David G., 2013. "Information, irrationality, and the evolution of trust," Journal of Economic Behavior & Organization, Elsevier, vol. 90(S), pages 57-75.
    16. Kurokawa, Shun & Zheng, Xiudeng & Tao, Yi, 2019. "Cooperation evolves more when players keep the interaction with unknown players," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 209-216.
    17. Faqi Du & Feng Fu, 2011. "Partner Selection Shapes the Strategic and Topological Evolution of Cooperation," Dynamic Games and Applications, Springer, vol. 1(3), pages 354-369, September.
    18. Yao Meng & Sean P. Cornelius & Yang-Yu Liu & Aming Li, 2024. "Dynamics of collective cooperation under personalised strategy updates," Nature Communications, Nature, vol. 15(1), pages 1-11, December.
    19. Hammerstein, Peter & Leimar, Olof, 2015. "Evolutionary Game Theory in Biology," Handbook of Game Theory with Economic Applications,, Elsevier.
    20. Chang, Shuhua & Zhang, Zhipeng & Wu, Yu’e & Xie, Yunya, 2018. "Cooperation is enhanced by inhomogeneous inertia in spatial prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 419-425.

    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:phsmap:v:449:y:2016:i:c:p:215-223. 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: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.