IDEAS home Printed from https://ideas.repec.org/a/spr/joevec/v31y2021i4d10.1007_s00191-020-00714-3.html
   My bibliography  Save this article

Pairwise imitation and evolution of the social contract

Author

Listed:
  • Nicola Campigotto

    (University of Verona)

Abstract

This paper studies the evolution of conventions in Stag Hunt games when agents’ behaviour depends on pairwise payoff comparisons. The results of two imitative decision rules are compared with each other and with those obtained when agents myopically best respond to the distribution of play. These rules differ in terms of their rationale, their requirements, and the extent to which they make individuals learn from others. Depending on payoffs and the interaction process being considered, best response learning can cause either the rewarding All Stag equilibrium or the inefficient All Hare equilibrium to emerge as the long-run convention. In contrast, pairwise imitation favours the emergence of the Pareto-inferior equilibrium. This result is robust to assuming assortative matching and some heterogeneity in decision rules.

Suggested Citation

  • Nicola Campigotto, 2021. "Pairwise imitation and evolution of the social contract," Journal of Evolutionary Economics, Springer, vol. 31(4), pages 1333-1354, September.
  • Handle: RePEc:spr:joevec:v:31:y:2021:i:4:d:10.1007_s00191-020-00714-3
    DOI: 10.1007/s00191-020-00714-3
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00191-020-00714-3
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s00191-020-00714-3?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. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, December.
    2. Fosco, Constanza & Mengel, Friederike, 2011. "Cooperation through imitation and exclusion in networks," Journal of Economic Dynamics and Control, Elsevier, vol. 35(5), pages 641-658, May.
    3. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    4. Goyal, Sanjeev & Vega-Redondo, Fernando, 2005. "Network formation and social coordination," Games and Economic Behavior, Elsevier, vol. 50(2), pages 178-207, February.
    5. Ellison, Glenn, 1997. "Learning from Personal Experience: One Rational Guy and the Justification of Myopia," Games and Economic Behavior, Elsevier, vol. 19(2), pages 180-210, May.
    6. Ennio Bilancini & Leonardo Boncinelli, 2020. "The evolution of conventions under condition-dependent mistakes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(2), pages 497-521, March.
    7. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
    8. Ingela Alger & Jörgen W. Weibull, 2013. "Homo Moralis—Preference Evolution Under Incomplete Information and Assortative Matching," Econometrica, Econometric Society, vol. 81(6), pages 2269-2302, November.
    9. Robert Sugden, 2005. "Rights, Co-operation and Welfare," Palgrave Macmillan Books, in: The Economics of Rights, Co-operation and Welfare, chapter 9, pages 170-182, Palgrave Macmillan.
    10. Alós-Ferrer, Carlos & Weidenholzer, Simon, 2014. "Imitation and the role of information in overcoming coordination failures," Games and Economic Behavior, Elsevier, vol. 87(C), pages 397-411.
    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. Jung-Kyoo Choi, 2008. "Play locally, learn globally: group selection and structural basis of cooperation," Journal of Bioeconomics, Springer, vol. 10(3), pages 239-257, December.
    13. Staudigl, Mathias & Weidenholzer, Simon, 2014. "Constrained interactions and social coordination," Journal of Economic Theory, Elsevier, vol. 152(C), pages 41-63.
    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. Robert Sugden, 2005. "The Economics of Rights, Co-operation and Welfare," Palgrave Macmillan Books, Palgrave Macmillan, number 978-0-230-53679-1.
    16. Ken Binmore, 1994. "Game Theory and the Social Contract, Volume 1: Playing Fair," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262023636, December.
    17. Eugenio Proto & Aldo Rustichini & Andis Sofianos, 2019. "Intelligence, Personality, and Gains from Cooperation in Repeated Interactions," Journal of Political Economy, University of Chicago Press, vol. 127(3), pages 1351-1390.
    18. Abhimanyu Khan, 2014. "Coordination under global random interaction and local imitation," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(4), pages 721-745, November.
    19. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-1071, September.
    20. repec:esx:essedp:747 is not listed on IDEAS
    21. 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.
    22. Alger, Ingela & Weibull, Jörgen W., 2016. "Evolution and Kantian morality," Games and Economic Behavior, Elsevier, vol. 98(C), pages 56-67.
    23. Francisco Cabo & Ana García-González, 2019. "Interaction and imitation in a world of Quixotes and Sanchos," Journal of Evolutionary Economics, Springer, vol. 29(3), pages 1037-1057, July.
    24. Tsakas Nikolas, 2014. "Imitating the Most Successful Neighbor in Social Networks," Review of Network Economics, De Gruyter, vol. 12(4), pages 1-33, February.
    25. Bilancini, Ennio & Boncinelli, Leonardo & Wu, Jiabin, 2018. "The interplay of cultural intolerance and action-assortativity for the emergence of cooperation and homophily," European Economic Review, Elsevier, vol. 102(C), pages 1-18.
    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. Jonathan Newton, 2018. "Evolutionary Game Theory: A Renaissance," Games, MDPI, vol. 9(2), pages 1-67, May.
    2. Zhiwei Cui, 2019. "Matching, Imitation, and Coordination in Networks," Dynamic Games and Applications, Springer, vol. 9(1), pages 47-67, March.
    3. Bilancini, Ennio & Boncinelli, Leonardo, 2022. "The evolution of conventions in the presence of social competition," Games and Economic Behavior, Elsevier, vol. 133(C), pages 50-57.
    4. Eugenio Vicario, 2021. "Imitation and Local Interactions: Long Run Equilibrium Selection," Games, MDPI, vol. 12(2), pages 1-19, April.
    5. Ennio Bilancini & Leonardo Boncinelli, 2020. "The evolution of conventions under condition-dependent mistakes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(2), pages 497-521, March.
    6. Cui, Zhiwei, 2023. "Linking friction, social coordination and the speed of evolution," Games and Economic Behavior, Elsevier, vol. 140(C), pages 410-430.
    7. Michael Kosfeld, 2002. "Stochastic strategy adjustment in coordination games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(2), pages 321-339.
    8. Cabo, Francisco & García-González, Ana, 2020. "Interaction and imitation with heterogeneous agents: A misleading evolutionary equilibrium," Journal of Economic Behavior & Organization, Elsevier, vol. 179(C), pages 152-174.
    9. Pin, Paolo & Weidenholzer, Elke & Weidenholzer, Simon, 2017. "Constrained mobility and the evolution of efficient outcomes," Journal of Economic Dynamics and Control, Elsevier, vol. 82(C), pages 165-175.
    10. Sawa, Ryoji & Wu, Jiabin, 2018. "Prospect dynamics and loss dominance," Games and Economic Behavior, Elsevier, vol. 112(C), pages 98-124.
    11. Lu, Feifei, 2023. "Local information hinders coordination in endogenous networks," Economics Letters, Elsevier, vol. 223(C).
    12. Cui, Zhiwei & Shi, Fei, 2022. "Bandwagon effects and constrained network formation," Games and Economic Behavior, Elsevier, vol. 134(C), pages 37-51.
    13. Ennio Bilancini & Leonardo Boncinelli, 2018. "Social coordination with locally observable types," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(4), pages 975-1009, June.
    14. Ennio Bilancini & Leonardo Boncinelli, 2015. "Social coordination with locally observable types," Department of Economics 0051, University of Modena and Reggio E., Faculty of Economics "Marco Biagi".
    15. Norman, Thomas W.L., 2009. "Rapid evolution under inertia," Games and Economic Behavior, Elsevier, vol. 66(2), pages 865-879, July.
    16. Alós-Ferrer, Carlos & Weidenholzer, Simon, 2014. "Imitation and the role of information in overcoming coordination failures," Games and Economic Behavior, Elsevier, vol. 87(C), pages 397-411.
    17. Boyu Zhang & Josef Hofbauer, 2015. "Equilibrium selection via replicator dynamics in $$2 \times 2$$ 2 × 2 coordination games," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(2), pages 433-448, May.
    18. Suren Basov, 2002. "Evolution of Social Behavior in the Global Economy: The Replicator Dynamics with Migration," Department of Economics - Working Papers Series 847, The University of Melbourne.
    19. Arno Riedl & Ingrid M. T. Rohde & Martin Strobel, 2021. "Free Neighborhood Choice Boosts Socially Optimal Outcomes in Stag-Hunt Coordination Problem," CESifo Working Paper Series 9012, CESifo.
    20. Edward Cartwright, 2002. "Learning to play approximate Nash equilibria in games with many players," Levine's Working Paper Archive 506439000000000070, David K. Levine.

    More about this item

    Keywords

    Conventions; Imitation; Learning; Stag hunt; Stochastic stability;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

    Statistics

    Access and download statistics

    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:spr:joevec:v:31:y:2021:i:4:d:10.1007_s00191-020-00714-3. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.