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Paternalism, homophily and cultural transmission in random networks

Author

Listed:
  • Fabrizio Panebianco

    (Bocconi University - Bocconi University [Milan, Italy], IGIER)

  • Thierry Verdier

    (PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, PJSE - Paris Jourdan Sciences Economiques - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique, PUC-Rio - Pontifícia Universidade Católica do Rio de Janeiro [Brasil] = Pontifical Catholic University of Rio de Janeiro [Brazil] = Université catholique pontificale de Rio de Janeiro [Brésil], CEPR - Center for Economic Policy Research)

Abstract

We study cultural diffusion in a random network where the transition probabilities are determined by a cultural transmission technology with endogenous vertical transmission rates (à la Bisin and Verdier, 2001). We present a two-way epidemic model in which both the infection and the recovery rates are endogenous and depend on the topology of the network. We characterize two balancing conditions satisfied by the network degree distribution and the vertical transmission rate distribution to ensure the sustainability of long run cultural heterogeneity. We discuss the effects of cultural homophily and paternalistic motivations for cultural transmission on the persistence of steady state cultural diversity.

Suggested Citation

  • Fabrizio Panebianco & Thierry Verdier, 2017. "Paternalism, homophily and cultural transmission in random networks," PSE-Ecole d'économie de Paris (Postprint) hal-01631100, HAL.
    • Handle: RePEc:hal:pseptp:hal-01631100
    DOI: 10.1016/j.geb.2017.07.006
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    Cited by:

    1. Radost Holler & Paul Ivo Schäfer, 2021. "Norm Prevalence and Interdependence: Evidence from a Large-Scale Historical Survey of German speaking Villages," ECONtribute Discussion Papers Series 118, University of Bonn and University of Cologne, Germany.
    2. Anufriev, Mikhail & Borissov, Kirill & Pakhnin, Mikhail, 2023. "Dissonance minimization and conversation in social networks," Journal of Economic Behavior & Organization, Elsevier, vol. 215(C), pages 167-191.
    3. Olcina, Gonzalo & Panebianco, Fabrizio & Zenou, Yves, 2024. "Conformism, social pressure, and the dynamics of integration," Journal of Economic Behavior & Organization, Elsevier, vol. 220(C), pages 279-304.
    4. Matteo Bizzarri & Fabrizio Panebianco & Paolo Pin, 2020. "Epidemic dynamics with homophily, vaccination choices, and pseudoscience attitudes," Papers 2007.08523, arXiv.org, revised Jun 2021.
    5. Gong, Qingbin & Diao, Xundi, 2023. "The impacts of investor network and herd behavior on market stability: Social learning, network structure, and heterogeneity," European Journal of Operational Research, Elsevier, vol. 306(3), pages 1388-1398.
    6. Sebastiano Della Lena & Fabrizio Panebianco, 2019. "Cultural Transmission with Incomplete Information: Parental Perceived Efficacy and Group Misrepresentation," Working Papers 2019:11, Department of Economics, University of Venice "Ca' Foscari".
    7. Hellmann, T. & Panebianco, F., 2018. "The transmission of continuous cultural traits in endogenous social networks," Economics Letters, Elsevier, vol. 167(C), pages 51-55.
    8. Hellmann, Tim & Panebianco, Fabrizio, 2018. "The transmission of continuous cultural traits in endogenous social networks," Center for Mathematical Economics Working Papers 579, Center for Mathematical Economics, Bielefeld University.

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    Keywords

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    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • L14 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Transactional Relationships; Contracts and Reputation
    • O33 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Technological Change: Choices and Consequences; Diffusion Processes

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