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Author

Listed:
  • FOERSTER Manuel,

    (Universität Hamburg)

  • MAULEON Ana,

    (Université Saint-Louis Bruxelles and CORE, UCLouvain)

  • VANNETELBOSCH Vincent,

    (CORE, UCLouvain)

Abstract
We propose a framework of network formation where players can form two types of links: public links are observed by everyone and shadow links are only observed by neighbors. We introduce a novel solution concept called rationalizable peer-confirming pairwise stability, which generalizes Jackson and Wolinsky (1996)’s pairwise stability notion to accommodate shadow links. We then study the case when public links and shadowlinks are perfect substitutes and relate our concept to pairwise stability. Finally, we consider two specific models and show how false beliefs about others’ behavior may lead to segregation in friendship networks with homophily, reducing social welfare.

Suggested Citation

  • FOERSTER Manuel, & MAULEON Ana, & VANNETELBOSCH Vincent,, 2018. "Shadow links," LIDAM Discussion Papers CORE 2018030, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:2018030
    as

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    File URL: https://sites.uclouvain.be/core/publications/coredp/coredp2018.html
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    Other versions of this item:

    • Foerster, Manuel & Mauleon, Ana & Vannetelbosch, Vincent, 2021. "Shadow links," LIDAM Reprints CORE 3171, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

    References listed on IDEAS

    as
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    2. Bramoulle, Yann & Galeotti, Andrea & Rogers, Brian (ed.), 2016. "The Oxford Handbook of the Economics of Networks," OUP Catalogue, Oxford University Press, number 9780199948277.
    3. Christophe Bravard & Sudipta Sarangi & PHILIPP MÖHLMEIER & AGNIESZKA RUSINOWSKA & EMILY TANIMURA, 2016. "A Degree-Distance-Based Connections Model with Negative and Positive Externalities," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 18(2), pages 168-192, April.
    4. Page, Frank Jr. & Wooders, Myrna H. & Kamat, Samir, 2005. "Networks and farsighted stability," Journal of Economic Theory, Elsevier, vol. 120(2), pages 257-269, February.
    5. Philipp Moehlmeier & Agnieszka Rusinowska & Emily Tanimura, 2016. "A degree-distance-based connections model with negative and positive externalities," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01301736, HAL.
    6. Gilli, Mario, 1999. "On Non-Nash Equilibria," Games and Economic Behavior, Elsevier, vol. 27(2), pages 184-203, May.
    7. Herings, P. Jean-Jacques & Mauleon, Ana & Vannetelbosch, Vincent, 2009. "Farsightedly stable networks," Games and Economic Behavior, Elsevier, vol. 67(2), pages 526-541, November.
    8. Dutta, Bhaskar & Ghosal, Sayantan & Ray, Debraj, 2005. "Farsighted network formation," Journal of Economic Theory, Elsevier, vol. 122(2), pages 143-164, June.
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    10. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-1050, July.
    11. Jackson, Matthew O. & van den Nouweland, Anne, 2005. "Strongly stable networks," Games and Economic Behavior, Elsevier, vol. 51(2), pages 420-444, May.
    12. 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.
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    14. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-1028, July.
    15. Elliot Lipnowski & Evan Sadler, 2019. "Peer‐Confirming Equilibrium," Econometrica, Econometric Society, vol. 87(2), pages 567-591, March.
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    More about this item

    Keywords

    network formation; peer-confirming beliefs; private information; rationalizability; shadow links; stability;
    All these keywords.

    JEL classification:

    • A14 - General Economics and Teaching - - General Economics - - - Sociology of Economics
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

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