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Scale-free growth of human society based on cooperation and altruistic punishment

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  • Podobnik, Boris
  • Gabor, Andrijana Musura
  • Kirbis, Ivona Skreblin

Abstract

Selfishness and cooperation are the key elements in evolution. Recently, it has been shown experimentally that the altruistic punishment of defectors where punishments bring no material gain for punisher is a key motive for the explanation of cooperation. Here we study how punishment and cooperation among the subjects of a system affect the growth of the entire system where we propose an evolution mechanism by merging scale-free growth and game theory. The subjects cooperate, defect and altruistically punish each other, where the increase of the level of punishment makes the system more cooperative. We derive under which conditions the system grows, what is the speed of growth, and for which condition the system can even collapse. For a set of countries we analyse how depending on the level of corruption a country punishes those who brake the traffic rule. We perform a survey to identify what should be a punishment for those who ride without the ticket in public transportation.

Suggested Citation

  • Podobnik, Boris & Gabor, Andrijana Musura & Kirbis, Ivona Skreblin, 2019. "Scale-free growth of human society based on cooperation and altruistic punishment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 613-619.
  • Handle: RePEc:eee:phsmap:v:513:y:2019:i:c:p:613-619
    DOI: 10.1016/j.physa.2018.08.170
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    References listed on IDEAS

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    1. Robert H. Frank & Thomas Gilovich & Dennis T. Regan, 1993. "Does Studying Economics Inhibit Cooperation?," Journal of Economic Perspectives, American Economic Association, vol. 7(2), pages 159-171, Spring.
    2. Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, Oxford University Press, vol. 114(3), pages 817-868.
    3. Axel Ockenfels & Gary E. Bolton, 2000. "ERC: A Theory of Equity, Reciprocity, and Competition," American Economic Review, American Economic Association, vol. 90(1), pages 166-193, March.
    4. Ernst Fehr & Simon Gächter, 2002. "Altruistic punishment in humans," Nature, Nature, vol. 415(6868), pages 137-140, January.
    5. Ernst Fehr & Bettina Rockenbach, 2003. "Detrimental effects of sanctions on human altruism," Nature, Nature, vol. 422(6928), pages 137-140, March.
    6. Martin A. Nowak & Karl Sigmund, 1998. "Evolution of indirect reciprocity by image scoring," Nature, Nature, vol. 393(6685), pages 573-577, June.
    7. 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.
    8. Ernst Fehr & Urs Fischbacher, 2003. "The nature of human altruism," Nature, Nature, vol. 425(6960), pages 785-791, October.
    9. Martin A. Nowak & Karl Sigmund, 2005. "Evolution of indirect reciprocity," Nature, Nature, vol. 437(7063), pages 1291-1298, October.
    10. David K. Levine, 1998. "Modeling Altruism and Spitefulness in Experiment," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(3), pages 593-622, July.
    11. Rabin, Matthew, 1993. "Incorporating Fairness into Game Theory and Economics," American Economic Review, American Economic Association, vol. 83(5), pages 1281-1302, December.
    12. Thaler, Richard H, 1988. "Anomalies: The Winner's Curse," Journal of Economic Perspectives, American Economic Association, vol. 2(1), pages 191-202, Winter.
    13. Dawes, Robyn M & Thaler, Richard H, 1988. "Anomalies: Cooperation," Journal of Economic Perspectives, American Economic Association, vol. 2(3), pages 187-197, Summer.
    14. Levy, Moshe & Solomon, Sorin, 1997. "New evidence for the power-law distribution of wealth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 242(1), pages 90-94.
    15. Train, Kenneth E & McFadden, Daniel L & Goett, Andrew A, 1987. "Consumer Attitudes and Voluntary Rate Schedules for Public Utilities," The Review of Economics and Statistics, MIT Press, vol. 69(3), pages 383-391, August.
    16. Moshe Levy & Sorin Solomon, 1996. "Power Laws Are Logarithmic Boltzmann Laws," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 7(04), pages 595-601.
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