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Strong ties or structural holes? A distance distribution perspective

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  • Xiang, Wang

Abstract

I provide a mean-field approximation of the distance distribution of the Jackson-Rogers model and find that it asymptotically follows a Weibull distribution. This approximation is then applied to an extension of the model where agents endogenously select their link formation patterns. It is demonstrated that each agent’s optimal strategy is characterized by a threshold strategy, and a unique evolutionarily stable state is identified where meetings with strangers occur more frequently as the spillover range increases.

Suggested Citation

  • Xiang, Wang, 2023. "Strong ties or structural holes? A distance distribution perspective," Economics Letters, Elsevier, vol. 229(C).
    • Handle: RePEc:eee:ecolet:v:229:y:2023:i:c:s0165176523002410
    DOI: 10.1016/j.econlet.2023.111216
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    References listed on IDEAS

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    1. Matthew O. Jackson & Brian W. Rogers & Yves Zenou, 2017. "The Economic Consequences of Social-Network Structure," Journal of Economic Literature, American Economic Association, vol. 55(1), pages 49-95, March.
    2. Réka Albert & Hawoong Jeong & Albert-László Barabási, 1999. "Diameter of the World-Wide Web," Nature, Nature, vol. 401(6749), pages 130-131, September.
    3. Lorenzo Ductor & Marcel Fafchamps & Sanjeev Goyal & Marco J. van der Leij, 2014. "Social Networks and Research Output," The Review of Economics and Statistics, MIT Press, vol. 96(5), pages 936-948, December.
    4. Matthew O. Jackson & Brian W. Rogers, 2007. "Meeting Strangers and Friends of Friends: How Random Are Social Networks?," American Economic Review, American Economic Association, vol. 97(3), pages 890-915, June.
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    More about this item

    Keywords

    Networks; Network formation; Distance distribution; Evolutionary stability;
    All these keywords.

    JEL classification:

    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
    • A14 - General Economics and Teaching - - General Economics - - - Sociology of Economics
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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