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Network Topology, Higher Orders of Stability and Efficiency

  • Chakrabarti, Subhadip
  • Tangsangasaksri, Supanit

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.

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File URL: http://mpra.ub.uni-muenchen.de/52749/4/MPRA_paper_52749.pdf
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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 52749.

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Date of creation: 06 Jan 2014
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Handle: RePEc:pra:mprapa:52749
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  1. Subhadip Chakrabarti & Robert P. Gilles, 2005. "Network Potentials," Bonn Econ Discussion Papers bgse28_2005, University of Bonn, Germany.
  2. Jackson, Matthew O. & van den Nouweland, Anne, 2002. "Strongly Stable Networks," Working Papers 1147, California Institute of Technology, Division of the Humanities and Social Sciences.
  3. Paul Belleflamme & Francis Bloch, 2001. "Market Sharing Agreements and Collusive Networks," Working Papers 443, Queen Mary University of London, School of Economics and Finance.
  4. 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.
  5. Sanjeev Goyal & Sumit Joshi, 2006. "Unequal connections," International Journal of Game Theory, Springer, vol. 34(3), pages 319-349, October.
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