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Stable and efficient coalitional networks

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  • CAULIER, Jean-François
  • MAULEON, Ana
  • SEMPERE MONNERIS, Jose J.
  • VANNETELBOSCH, Vincent

Abstract

We develop a theoretical framework that allows us to study which bilateral links and coalition structures are going to emerge at equilibrium. We define the notion of coalitional network to represent a network and a coalition structure, where the network specifies the nature of the relationship each individual has with her coalition members and with individuals outside her coalition. To predict the coalitional networks that are going to emerge at equilibrium we propose the concepts of strong stability and of contractual stability. Contractual stability imposes that any change made to the coalitional network needs the consent of both the deviating players and their original coalition partners. Requiring the consent of coalition members under the simple majority or unanimity decision rule may help to reconcile stability and effiency. Moreover, this new framework can provide in- sights that one cannot obtain if coalition formation and network formation are tackled separately and independently.
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Suggested Citation

  • CAULIER, Jean-François & MAULEON, Ana & SEMPERE MONNERIS, Jose J. & VANNETELBOSCH, Vincent, 2013. "Stable and efficient coalitional networks," LIDAM Reprints CORE 2539, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvrp:2539
    Note: In : Review of Economic Design, 17(4), 249-271, 2013
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    Cited by:

    1. 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.
    2. 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.
    3. Dollinger, Jérôme & Mauleon, Ana & Vannetelbosch, Vincent, 2024. "R&D and market sharing agreements," LIDAM Reprints CORE 3284, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Caulier, Jean-François & Mauleon, Ana & Vannetelbosch, Vincent, 2015. "Allocation rules for coalitional network games," Mathematical Social Sciences, Elsevier, vol. 78(C), pages 80-88.
    5. Safi, Shahir, 2022. "Listen before you link: Optimal monitoring rules for communication networks," Games and Economic Behavior, Elsevier, vol. 133(C), pages 230-247.
    6. Mauleon, Ana & Roehl, Nils & Vannetelbosch, Vincent, 2019. "Paths to stability for overlapping group structures," Journal of Mathematical Economics, Elsevier, vol. 83(C), pages 19-24.
    7. 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.
    8. Christophe Bravard & Sudipta Sarangi & ANA MAULEON & JOSE J. SEMPERE-MONERRIS & VINCENT VANNETELBOSCH, 2016. "Contractually Stable Alliances," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 18(2), pages 212-225, April.
    9. Mauleon, Ana & Roehl, Nils & Vannetelbosch, Vincent, 2018. "Constitutions and groups," Games and Economic Behavior, Elsevier, vol. 107(C), pages 135-152.
    10. de Callataÿ, Pierre & Mauleon, Ana & Vannetelbosch, Vincent, 2024. "Minimal farsighted instability," LIDAM Reprints CORE 3286, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    11. 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.
    12. 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.
    13. 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).
    14. 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.
    15. Luo, Chenghong & Mauleon, Ana & Vannetelbosch, Vincent, 2024. "Destabilizing segregation in friendship networks with farsighted agents," LIDAM Reprints CORE 3283, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    16. 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.

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

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