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Subscription Mechanisms for Network Formation

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  • Mutuswami, Suresh
  • Winter, Eyal

Abstract

We analyze a model of network formation where the costs of forming links are publicly known but an individual's benefits are not known to the social planner. The objective is to design a mechanism which not only ensures that an efficient network always forms in equilibrium but also ensures that the resulting net payoffs to the agents are equitable. We propose two mechanisms towards this end; in the first, agents announce sequentially the set of players with whom they wish to form links and a cost contribution. We show that all subgame perfect equilibria of this game result in the formation of an efficient network but the resulting net payoffs are asymmetric. The second mechanism corrects this asymmetry through a two-stage variant of the first mechanism. We also discuss an extension of the basic model to cover the case of directed graphs and give conditions under which the proposed mechanisms are immune to deviations by coalitions.
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  • Mutuswami, Suresh & Winter, Eyal, 2002. "Subscription Mechanisms for Network Formation," Journal of Economic Theory, Elsevier, vol. 106(2), pages 242-264, October.
  • Handle: RePEc:eee:jetheo:v:106:y:2002:i:2:p:242-264
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    1. Slikker, Marco & van den Nouweland, Anne, 2001. "A One-Stage Model of Link Formation and Payoff Division," Games and Economic Behavior, Elsevier, vol. 34(1), pages 153-175, January.
    2. Sergio Currarini & Massimo Morelli, 2000. "original papers : Network formation with sequential demands," Review of Economic Design, Springer;Society for Economic Design, vol. 5(3), pages 229-249.
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    8. (*), Anne van den Nouweland & Marco Slikker, 2000. "original papers : Network formation models with costs for establishing links," Review of Economic Design, Springer;Society for Economic Design, vol. 5(3), pages 333-362.
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    11. Daniel J. Seidmann & Eyal Winter, 1998. "A Theory of Gradual Coalition Formation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(4), pages 793-815.
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