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Network formation with myopic and farsighted players

Author

Listed:
  • LUO Chenghong,

    (CORE, Université catholique de Louvain)

  • MAULEON Ana,

    (Université Saint-Louis Bruxelles and CORE)

  • VANNETELBOSCH Vincent,

    (CORE, Université catholique de Louvain)

Abstract

We study the formation of networks where myopic and farsighted individuals decide with whom they want to form a link, according to a distance-based utility function that weighs the costs and benefits of each connection. We propose the notion of myopic-farsighted stable set to determine the networks that emerge when some individuals are myopic while others are farsighted. A myopic-farsighted stable set is the set of networks satisfying internal and external stability with respect to the notion of myopic-farsighted improving path. In the case of a homogeneous population (either all myopic or all farsighted), a conflict between stability and efficiency is likely to arise. But, once the population becomes mixed, the conflict vanishes if there are enough farsighted individuals. In addition, we characterize the myopic-farsighted stable set for any utility function when all individuals are myopic.

Suggested Citation

  • LUO Chenghong, & MAULEON Ana, & VANNETELBOSCH Vincent,, 2018. "Network formation with myopic and farsighted players," LIDAM Discussion Papers CORE 2018025, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvco:2018025
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    File URL: https://sites.uclouvain.be/core/publications/coredp/coredp2018.html
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    Cited by:

    1. Michel Grabisch & Elena Parilina & Agnieszka Rusinowska & Georges Zaccour, 2025. "Dynamic Network Formation with Farsighted Players and Limited Capacities," Documents de travail du Centre d'Economie de la Sorbonne 25019, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    2. Ata Atay & Ana Mauleon & Vincent Vannetelbosch, 2025. "Limited Farsightedness in Priority‐Based Matching," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 27(4), August.
    3. P. Jean-Jacques Herings & Ana Mauleon & Vincent Vannetelbosch, 2023. "Social Rationalizability with Mediation," Dynamic Games and Applications, Springer, vol. 13(2), pages 440-461, June.
    4. Atay, Ata & Mauleon, Ana & Vannetelbosch, Vincent, 2025. "School choice with farsighted students," Games and Economic Behavior, Elsevier, vol. 149(C), pages 148-163.
    5. Bayer, Péter & Herings, P. Jean-Jacques & Peeters, Ronald, 2021. "Farsighted manipulation and exploitation in networks," Journal of Economic Theory, Elsevier, vol. 196(C).
    6. David Pérez-Castrillo & Marilda Sotomayor, 2023. "Constrained-optimal tradewise-stable outcomes in the one-sided assignment game: a solution concept weaker than the core," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(3), pages 963-994, October.
    7. Bayer, Péter & Guerdjikova, Ani, 2024. "Optimism leads to optimality: Ambiguity in network formation," Journal of Economic Dynamics and Control, Elsevier, vol. 168(C).
    8. 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.
    9. Teruyoshi Kobayashi & Tomokatsu Onaga, 2023. "Dynamics of diffusion on monoplex and multiplex networks: a message-passing approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(1), pages 251-287, July.
    10. Pierre Callataÿ & Ana Mauleon & Vincent Vannetelbosch, 2024. "Minimal farsighted instability," International Journal of Game Theory, Springer;Game Theory Society, vol. 53(2), pages 493-523, June.
    11. 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).
    12. Luo, Chenghong & Mauleon, Ana & Vannetelbosch, Vincent, 2024. "Destabilizing segregation in friendship networks with farsighted agents," Journal of Economic Behavior & Organization, Elsevier, vol. 221(C), pages 1-16.
    13. Cai, Xinyue & Kimya, Mert, 2023. "Stability of alliance networks," Games and Economic Behavior, Elsevier, vol. 140(C), pages 401-409.
    14. Pierre de Callataÿ & Ana Mauleon & Vincent Vannetelbosch, 2024. "Local farsightedness in network formation," International Journal of Economic Theory, The International Society for Economic Theory, vol. 20(2), pages 199-226, 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. repec:hal:wpaper:hal-03005107 is not listed on IDEAS
    17. Jérôme Dollinger & Ana Mauleon & Vincent Vannetelbosch, 2024. "R &d and market sharing agreements," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 78(3), pages 877-922, November.
    18. Ana Mauleon & Simon Schopohl & Akylai Taalaibekova & Vincent Vannetelbosch, 2022. "Coordination on networks with farsighted and myopic agents," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(3), pages 509-536, November.
    19. Mauleon, Ana & Sempere-Monerris, Jose J. & Vannetelbosch, Vincent, 2023. "R&D network formation with myopic and farsighted firms," Journal of Economic Behavior & Organization, Elsevier, vol. 208(C), pages 203-229.
    20. 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).
    21. Chenghong Luo & Ana Mauleon & Vincent Vannetelbosch, 2022. "Coalition-proof stable networks," Review of Economic Design, Springer;Society for Economic Design, vol. 26(2), pages 185-209, June.

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    JEL classification:

    • A14 - General Economics and Teaching - - General Economics - - - Sociology of Economics
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D20 - Microeconomics - - Production and Organizations - - - General

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