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Contractually Stable Networks

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  • Jean-Francois Caulier
  • Ana Mauleon
  • Vincent VAnnetelbosch

Abstract

We consider situations where players are part of a network and belong to coalitions in a given coalition structure. We propose the concept of contractual stability to predict the networks that are going to emerge at equilibrium when the consent of coalition partners is needed for adding or deleting links. Two different decision rules for consent are analyzed: simple majority and unanimity. We characterize the coalition structures that make the strongly efficient network contractually stable under the unanimity decision rule and the coalition structures that sustain some critical network as contractually stable under the simple majority decision rule and under any decision rule requiring the consent of any proportion of coalition partners. Requiring the consent of coalition members may help to reconcile stability and efficiency in some classical models of network formation. Copyright Springer-Verlag Berlin Heidelberg 2013
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  • Jean-Francois Caulier & Ana Mauleon & Vincent VAnnetelbosch, 2007. "Contractually Stable Networks," NajEcon Working Paper Reviews 843644000000000084, www.najecon.org.
  • Handle: RePEc:cla:najeco:843644000000000084
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    References listed on IDEAS

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    Cited by:

    1. Jean-François Caulier & Michel Grabisch & Agnieszka Rusinowska, 2013. "An allocation rule for dynamic random network formation processes," Post-Print halshs-00881125, HAL.
    2. 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.
    3. Caulier, Jean-François & Mauleon, Ana & Vannetelbosch, Vincent, 2015. "Allocation rules for coalitional network games," Mathematical Social Sciences, Elsevier, vol. 78(C), pages 80-88.
    4. Mauleon, Ana & Roehl, Nils & Vannetelbosch, Vincent, 2018. "Constitutions and groups," Games and Economic Behavior, Elsevier, vol. 107(C), pages 135-152.
    5. Nils Roehl, 2013. "Two-Stage Allocation Rules," Working Papers Dissertations 01, Paderborn University, Faculty of Business Administration and Economics.
    6. repec:gam:jgames:v:8:y:2017:i:3:p:32-:d:106531 is not listed on IDEAS
    7. Nils Roehl, 2013. "Two-Stage Allocation Rules," Working Papers CIE 73, Paderborn University, CIE Center for International Economics.

    More about this item

    JEL classification:

    • 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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