IDEAS home Printed from https://ideas.repec.org/p/cor/louvrp/3171.html
   My bibliography  Save this paper

Shadow links

Author

Listed:
  • Foerster, Manuel

    (Bielefeld University)

  • Mauleon, Ana

    (Université catholique de Louvain, LIDAM/CORE, Belgium)

  • Vannetelbosch, Vincent

    (Université catholique de Louvain, LIDAM/CORE, Belgium)

Abstract

We propose a framework of network formation where players can form two types of links: public links observed by everyone and shadow links generally not observed by others. We introduce a novel solution concept called rationalizable conjectural pairwise stability, which generalizes Jackson and Wolinsky (1996)'s pairwise stability notion to accommodate shadow links. We first show that a network is stable if there exist beliefs such that each player conjectures to be in a network that is stable under correct beliefs, and in which she does not want to alter her links unilaterally. We then derive a mechanism to construct a stable network that is not stable under correct beliefs. Third, we establish that the set of stable networks is shrinking in the players' observation radius. Finally, we illustrate our framework in the context of two specific models and show that players may over(under)estimate others' connections and hence under(over)connect.

Suggested Citation

  • Foerster, Manuel & Mauleon, Ana & Vannetelbosch, Vincent, 2021. "Shadow links," LIDAM Reprints CORE 3171, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:3171
    DOI: https://doi.org/10.1016/j.jet.2021.105325
    Note: In: Journal of Economic Theory, 2021, vol. 197, 105325
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    • 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).

    References listed on IDEAS

    as
    1. Rubinstein Ariel & Wolinsky Asher, 1994. "Rationalizable Conjectural Equilibrium: Between Nash and Rationalizability," Games and Economic Behavior, Elsevier, vol. 6(2), pages 299-311, March.
    2. Bramoulle, Yann & Galeotti, Andrea & Rogers, Brian (ed.), 2016. "The Oxford Handbook of the Economics of Networks," OUP Catalogue, Oxford University Press, number 9780199948277, Decembrie.
    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. Gilli, Mario, 1999. "On Non-Nash Equilibria," Games and Economic Behavior, Elsevier, vol. 27(2), pages 184-203, May.
    6. Dutta, Bhaskar & Ghosal, Sayantan & Ray, Debraj, 2005. "Farsighted network formation," Journal of Economic Theory, Elsevier, vol. 122(2), pages 143-164, June.
    7. Jackson, Matthew O. & van den Nouweland, Anne, 2005. "Strongly stable networks," Games and Economic Behavior, Elsevier, vol. 51(2), pages 420-444, May.
    8. 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.
    9. Herings, P. Jean-Jacques & Mauleon, Ana & Vannetelbosch, Vincent, 2009. "Farsightedly stable networks," Games and Economic Behavior, Elsevier, vol. 67(2), pages 526-541, November.
    10. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-1028, July.
    11. Yann Bramoullé & Andrea Galeotti & Brian Rogers, 2016. "The Oxford Handbook of the Economics of Networks," Post-Print hal-03572533, HAL.
    12. Bjerre-Nielsen, Andreas, 2020. "Assortative matching with network spillovers," Journal of Economic Theory, Elsevier, vol. 187(C).
    13. McBride Michael, 2006. "Limited Observation in Mutual Consent Networks," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-29, August.
    14. Thayer Morrill, 2011. "Network formation under negative degree-based externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(2), pages 367-385, May.
    15. 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.
    16. McBride, Michael, 2006. "Imperfect monitoring in communication networks," Journal of Economic Theory, Elsevier, vol. 126(1), pages 97-119, January.
    17. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-1050, July.
    18. Joan de Martí & Yves Zenou, 2017. "Segregation in Friendship Networks," Scandinavian Journal of Economics, Wiley Blackwell, vol. 119(3), pages 656-708, July.
    19. Elliot Lipnowski & Evan Sadler, 2019. "Peer‐Confirming Equilibrium," Econometrica, Econometric Society, vol. 87(2), pages 567-591, March.
    20. Jackson, Matthew O. & Watts, Alison, 2002. "The Evolution of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 106(2), pages 265-295, October.
    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. Chenghong Luo & Ana Mauleon & Vincent Vannetelbosch, 2021. "Network formation with myopic and farsighted players," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(4), pages 1283-1317, June.
    2. Luo, Chenghong & Mauleon, Ana & Vannetelbosch, Vincent, 2022. "Friendship networks with farsighted agents," LIDAM Discussion Papers CORE 2022021, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. P. Jean-Jacques Herings & Ana Mauleon & Vincent Vannetelbosch, 2021. "Horizon- K Farsightedness in Criminal Networks," Games, MDPI, vol. 12(3), pages 1-13, July.
    4. Jean-François Caulier & Michel Grabisch & Agnieszka Rusinowska, 2015. "An allocation rule for dynamic random network formation processes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(2), pages 283-313, October.
    5. Joost Vandenbossche & Thomas Demuynck, 2013. "Network Formation with Heterogeneous Agents and Absolute Friction," Computational Economics, Springer;Society for Computational Economics, vol. 42(1), pages 23-45, June.
    6. Kirchsteiger, Georg & Mantovani, Marco & Mauleon, Ana & Vannetelbosch, Vincent, 2016. "Limited farsightedness in network formation," Journal of Economic Behavior & Organization, Elsevier, vol. 128(C), pages 97-120.
    7. HERINGS, P. Jean-Jacques & MAULEON, Ana & VANNETELBOSCH, Vincent, 2014. "Stability of networks under level-K farsightedness," LIDAM Discussion Papers CORE 2014032, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. P. Jean-Jacques Herings & Ana Mauleon & Vincent Vannetelbosch, 2019. "Stability of networks under horizon-K farsightedness," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(1), pages 177-201, July.
    9. Antoine Mandel & Xavier Venel, 2022. "Sequential competition and the strategic origins of preferential attachment," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(3), pages 483-508, November.
    10. Carayol, Nicolas & Delille, Rémy & Vannetelbosch, Vincent, 2015. "Allocating value among farsighted players in network formation," Economics Letters, Elsevier, vol. 137(C), pages 50-53.
    11. Leonardo Boncinelli & Alessio Muscillo & Paolo Pin, 2022. "Efficiency and Stability in a Process of Teams Formation," Dynamic Games and Applications, Springer, vol. 12(4), pages 1101-1129, December.
    12. Gilles, Robert P. & Sarangi, Sudipta, 2010. "Network formation under mutual consent and costly communication," Mathematical Social Sciences, Elsevier, vol. 60(3), pages 181-185, November.
    13. de Callatay, Pierre & Mauleon, Ana & Vannetelbosch, Vincent, 2023. "Local Farsightedness in Network Formation," LIDAM Discussion Papers CORE 2023003, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    14. Ana Mauleon & Jose J. Sempere-Monerris & Vincent Vannetelbosch, 2023. "Limited Farsightedness in R &D Network Formation," Dynamic Games and Applications, Springer, vol. 13(2), pages 549-565, June.
    15. Pierre de Callataÿ & Ana Mauleon & Vincent Vannetelbosch, 2023. "Myopic-farsighted absorbing networks," Theory and Decision, Springer, vol. 94(3), pages 405-422, April.
    16. de Callatay, Pierre & Mauleon, Ana & Vannetelbosch, Vincent, 2021. "Minimally Farsighted Unstable Networks," LIDAM Discussion Papers CORE 2021012, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    17. Herings, P.J.J. & Khan, Abhimanyu, 2022. "Network Stability under Limited Foresight," Discussion Paper 2022-013, Tilburg University, Center for Economic Research.
    18. Frank H. Page & Myrna H. Wooders, 2009. "Endogenous Network Dynamics," Working Papers 2009.28, Fondazione Eni Enrico Mattei.
    19. Roland Pongou & Roberto Serrano, 2009. "A Dynamic Theory of Fidelity Networks with an Application to the Spread of HIV/AIDS," Working Papers 2009-2, Brown University, Department of Economics.
    20. Péter Bayer & Ani Guerdjikova, 2020. "Optimism leads to optimality: Ambiguity in network formation," Working Papers hal-03005107, HAL.

    More about this item

    Keywords

    Network formation ; Private information ; Shadow links ; Stability ; Rationalizability;
    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

    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:cor:louvrp:3171. 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: Alain GILLIS (email available below). General contact details of provider: https://edirc.repec.org/data/coreebe.html .

    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.