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Network Topology, Higher Orders of Stability and Efficiency

Author

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  • Chakrabarti, Subhadip
  • Tangsangasaksri, Supanit

Abstract

Stable networks of order r where r is a natural number refer to those networks that are immune to coalitional deviation of size r or less. In this paper, we introduce stability of a finite order and examine its relation with efficient networks under anonymous and component additive value functions and the component-wise egalitarian allocation rule. In particular, we examine shapes of networks or network architectures that would resolve the conflict between stability and efficiency in the sense that if stable networks assume those shapes they would be efficient and if efficient networks assume those shapes, they would be stable with minimal further restrictions on value functions.

Suggested Citation

  • Chakrabarti, Subhadip & Tangsangasaksri, Supanit, 2014. "Network Topology, Higher Orders of Stability and Efficiency," MPRA Paper 52749, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:52749
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    References listed on IDEAS

    as
    1. Jackson, Matthew O. & van den Nouweland, Anne, 2005. "Strongly stable networks," Games and Economic Behavior, Elsevier, vol. 51(2), pages 420-444, May.
    2. Paul Belleflamme & Francis Bloch, 2004. "Market sharing agreements and collusive networks," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(2), pages 387-411, May.
    3. Gilles, Robert P. & Chakrabarti, Subhadip & Sarangi, Sudipta & Badasyan, Narine, 2006. "Critical agents in networks," Mathematical Social Sciences, Elsevier, vol. 52(3), pages 302-310, December.
    4. Sanjeev Goyal & Sumit Joshi, 2006. "Unequal connections," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(3), pages 319-349, October.
    5. Subhadip Chakrabarti & Robert Gilles, 2007. "Network potentials," Review of Economic Design, Springer;Society for Economic Design, vol. 11(1), pages 13-52, June.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Stability of order r; Efficiency; Network architecture;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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