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Linking friction, social coordination and the speed of evolution

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  • Cui, Zhiwei

Abstract

We consider a model of social coordination and network formation where agents decide on an action in a coordination game and on whom to form costly links with. We explore the role of linking friction, where an agent cannot change all of her links simultaneously when choosing an alternative linking decision. Given linking friction, interaction structures are not fully flexible. We introduce a new solution concept of static equilibria, local Nash equilibria, and find that the set of local Nash equilibria may include action-heterogenous strategy profiles. Furthermore, risk-dominant strategy profiles are stochastically stable when linking friction is restrictive, and payoff-dominant strategy profiles are stochastically stable when linking friction becomes less restrictive. More importantly, linking friction can greatly accelerate the emergence of payoff-dominant strategy profiles.

Suggested Citation

  • Cui, Zhiwei, 2023. "Linking friction, social coordination and the speed of evolution," Games and Economic Behavior, Elsevier, vol. 140(C), pages 410-430.
  • Handle: RePEc:eee:gamebe:v:140:y:2023:i:c:p:410-430
    DOI: 10.1016/j.geb.2023.04.011
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    1. Blume Lawrence E., 1995. "The Statistical Mechanics of Best-Response Strategy Revision," Games and Economic Behavior, Elsevier, vol. 11(2), pages 111-145, November.
    2. 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.
    3. Glenn Ellison, 2000. "Basins of Attraction, Long-Run Stochastic Stability, and the Speed of Step-by-Step Evolution," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(1), pages 17-45.
    4. Jonathan Newton, 2018. "Evolutionary Game Theory: A Renaissance," Games, MDPI, vol. 9(2), pages 1-67, May.
    5. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-1071, September.
    6. Robson, Arthur J. & Vega-Redondo, Fernando, 1996. "Efficient Equilibrium Selection in Evolutionary Games with Random Matching," Journal of Economic Theory, Elsevier, vol. 70(1), pages 65-92, July.
    7. Newton, Jonathan & Angus, Simon D., 2015. "Coalitions, tipping points and the speed of evolution," Journal of Economic Theory, Elsevier, vol. 157(C), pages 172-187.
    8. Cui, Zhiwei & Shi, Fei, 2022. "Bandwagon effects and constrained network formation," Games and Economic Behavior, Elsevier, vol. 134(C), pages 37-51.
    9. Bhaskar, V. & Vega-Redondo, Fernando, 2004. "Migration and the evolution of conventions," Journal of Economic Behavior & Organization, Elsevier, vol. 55(3), pages 397-418, November.
    10. Sawa, Ryoji, 2014. "Coalitional stochastic stability in games, networks and markets," Games and Economic Behavior, Elsevier, vol. 88(C), pages 90-111.
    11. Jackson, Matthew O. & Watts, Alison, 2002. "On the formation of interaction networks in social coordination games," Games and Economic Behavior, Elsevier, vol. 41(2), pages 265-291, November.
    12. Blume Lawrence E., 1993. "The Statistical Mechanics of Strategic Interaction," Games and Economic Behavior, Elsevier, vol. 5(3), pages 387-424, July.
    13. Dieckmann, Tone, 1999. "The evolution of conventions with mobile players," Journal of Economic Behavior & Organization, Elsevier, vol. 38(1), pages 93-111, January.
    14. Jackson, Matthew O. & Wolinsky, Asher, 1996. "A Strategic Model of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 71(1), pages 44-74, October.
    15. repec:esx:essedp:747 is not listed on IDEAS
    16. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    17. Newton, Jonathan, 2012. "Coalitional stochastic stability," Games and Economic Behavior, Elsevier, vol. 75(2), pages 842-854.
    18. Newton, Jonathan & Sercombe, Damian, 2020. "Agency, potential and contagion," Games and Economic Behavior, Elsevier, vol. 119(C), pages 79-97.
    19. Anwar, A. W., 2002. "On the Co-existence of Conventions," Journal of Economic Theory, Elsevier, vol. 107(1), pages 145-155, November.
    20. Norman, Thomas W.L., 2009. "Rapid evolution under inertia," Games and Economic Behavior, Elsevier, vol. 66(2), pages 865-879, July.
    21. Goyal, Sanjeev & Vega-Redondo, Fernando, 2005. "Network formation and social coordination," Games and Economic Behavior, Elsevier, vol. 50(2), pages 178-207, February.
    22. Jonathan Newton, 2021. "Conventions under Heterogeneous Behavioural Rules [Adaptive Play in Multiplayer Bargaining Situations]," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(4), pages 2094-2118.
    23. 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.
    24. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
    25. Naono, Miharu, 2022. "Cost heterogeneity and the persistence of bilingualism," Games and Economic Behavior, Elsevier, vol. 136(C), pages 325-339.
    26. Levine, David Knudsen & Modica, Salvatore, 2016. "Dynamics in stochastic evolutionary models," Theoretical Economics, Econometric Society, vol. 11(1), January.
    27. 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.
    28. 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.
    29. Cui, Zhiwei & Weidenholzer, Simon, 2021. "Lock-in through passive connections," Journal of Economic Theory, Elsevier, vol. 192(C).
    30. Newton, Jonathan & Wait, Andrew & Angus, Simon D., 2019. "Watercooler chat, organizational structure and corporate culture," Games and Economic Behavior, Elsevier, vol. 118(C), pages 354-365.
    31. Alos-Ferrer, Carlos & Ania, Ana B., 2001. "Local equilibria in economic games," Economics Letters, Elsevier, vol. 70(2), pages 165-173, February.
    32. Oechssler, Jorg, 1997. "Decentralization and the coordination problem," Journal of Economic Behavior & Organization, Elsevier, vol. 32(1), pages 119-135, January.
    33. Staudigl, Mathias & Weidenholzer, Simon, 2014. "Constrained interactions and social coordination," Journal of Economic Theory, Elsevier, vol. 152(C), pages 41-63.
    34. 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.
    35. Cui, Zhiwei & Zhai, Jian, 2010. "Escape dynamics and equilibria selection by iterative cycle decomposition," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1015-1029, November.
    36. Simon Weidenholzer, 2010. "Coordination Games and Local Interactions: A Survey of the Game Theoretic Literature," Games, MDPI, vol. 1(4), pages 1-35, November.
    37. Alós-Ferrer, Carlos & Weidenholzer, Simon, 2008. "Contagion and efficiency," Journal of Economic Theory, Elsevier, vol. 143(1), pages 251-274, November.
    38. Hojman, Daniel A. & Szeidl, Adam, 2006. "Endogenous networks, social games, and evolution," Games and Economic Behavior, Elsevier, vol. 55(1), pages 112-130, April.
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    More about this item

    Keywords

    Social coordination; Network formation; Learning; Linking friction; Waiting time;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

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