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Connections among farsighted agents

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  • GANDJEAN, Gilles
  • MAULEON, Ana

    (Université catholique de Louvain (UCL). Center for Operations Research and Econometrics (CORE))

  • VANNETELBOSCH, Vincent

    (Université catholique de Louvain (UCL). Center for Operations Research and Econometrics (CORE))

Abstract

We study the stability of social and economic networks when players are farsighted. In particular, we examine whether the networks formed by farsighted players are different from those formed by myopic players. We adopt Herings, Mauleon and Vannetelbosch’s (Games and Economic Behavior, forthcoming) notion of pairwise farsightedly stable set. We first investigate in some classical models of social and economic networks whether the pairwise farsightedly stable sets of networks coincide with the set of pairwise (myopically) stable networks and the set of strongly efficient networks. We then provide some primitive conditions on value functions and allocation rules so that the set of strongly efficient networks is the unique pairwise farsightedly stable set. Under the componentwise egalitarian allocation rule, the set of strongly efficient networks and the set of pairwise (myopically) stable networks that are immune to coalitional deviations are the unique pairwise farsightedly stable set if and only if the value function is top convex.
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(This abstract was borrowed from another version of this item.)

Suggested Citation

  • GANDJEAN, Gilles & MAULEON, Ana & VANNETELBOSCH, Vincent, 2009. "Connections among farsighted agents," LIDAM Discussion Papers CORE 2009031, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:2009031
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    References listed on IDEAS

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    1. Ana Mauleon & Vincent Vannetelbosch, 2004. "Farsightedness and Cautiousness in Coalition Formation Games with Positive Spillovers," Theory and Decision, Springer, vol. 56(3), pages 291-324, May.
    2. 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.
    3. Herings, P. Jean-Jacques & Mauleon, Ana & Vannetelbosch, Vincent, 2009. "Farsightedly stable networks," Games and Economic Behavior, Elsevier, vol. 67(2), pages 526-541, November.
    4. Herings, P. Jean-Jacques & Mauleon, Ana & Vannetelbosch, Vincent J., 2004. "Rationalizability for social environments," Games and Economic Behavior, Elsevier, vol. 49(1), pages 135-156, October.
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    11. Licun Xue, 1998. "Coalitional stability under perfect foresight," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 603-627.
    12. Corominas-Bosch, Margarida, 2004. "Bargaining in a network of buyers and sellers," Journal of Economic Theory, Elsevier, vol. 115(1), pages 35-77, March.
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    Cited by:

    1. Kenan Huremović, 2021. "A noncooperative model of contest network formation," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(2), pages 275-317, April.
    2. Cai, Xinyue & Kimya, Mert, 2023. "Stability of alliance networks," Games and Economic Behavior, Elsevier, vol. 140(C), pages 401-409.
    3. 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.
    4. Kimya, Mert, 2020. "Equilibrium coalitional behavior," Theoretical Economics, Econometric Society, vol. 15(2), May.
    5. Marco Mantovani & Georg Kirchsteiger & Ana Mauleon & Vincent Vannetelbosch, 2011. "Myopic or Farsighted? An Experiment on Network Formation," Working Papers 2011.45, Fondazione Eni Enrico Mattei.
    6. 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).
    7. Yangbo Song & Mihaela Schaar, 2020. "Dynamic network formation with foresighted agents," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(2), pages 345-384, June.
    8. 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.
    9. Carayol, Nicolas & Delille, Rémy & Vannetelbosch, Vincent, 2015. "Allocating value among farsighted players in network formation," Economics Letters, Elsevier, vol. 137(C), pages 50-53.
    10. A Bhattacharya, "undated". "Stable and Efficient Networks with Farsighted Players: the Largest Consistent Set," Discussion Papers 09/34, Department of Economics, University of York.
    11. Michael Caldara & Michael McBride, 2014. "An Experimental Study of Network Formation with Limited Observation," Working Papers 141501, University of California-Irvine, Department of Economics.
    12. Anna Conte & Daniela T. Di Cagno & Emanuela Sciubba, 2015. "Behavioral Patterns In Social Networks," Economic Inquiry, Western Economic Association International, vol. 53(2), pages 1331-1349, April.
    13. 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.

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    More about this item

    Keywords

    farsighted players; stability; efficiency; connections model; buyer-seller networks;
    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
    • D20 - Microeconomics - - Production and Organizations - - - General

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