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Stable Networks and Convex Payoffs

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  • Sudipta Sarangi

    ()

  • Robert P. Gilles

    ()

Abstract

Recently a variety of link-based stability concepts have emerged in the literature on game theoretic models of social network formation. We investigate two basic formation properties that establish equivalence between some well known types of stable networks and their natural extensions. These properties can be identified as convexity conditions on the network payoff structures.

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Paper provided by Department of Economics, Louisiana State University in its series Departmental Working Papers with number 2005-13.

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Handle: RePEc:lsu:lsuwpp:2005-13

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  1. Antoni Calvó-Armengol & Rahmi Ilkiliç, 2004. "Pairwise-Stability and Nash Equilibria in Network Formation," Working Papers 182, Barcelona Graduate School of Economics.
  2. Gilles, R.P. & Sarangi, S., 2004. "Social Network Formation with Consent," Discussion Paper 2004-70, Tilburg University, Center for Economic Research.
  3. Jackson, Matthew O. & Wolinsky, Asher, 1996. "A Strategic Model of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 71(1), pages 44-74, October.
  4. Matthew O. Jackson & Anne van den Nouweland, 2002. "Strongly Stable Networks," Microeconomics 0211006, EconWPA.
  5. ELLEFLAMME, Paul & BLOCH, Francis, . "Market sharing agreements and collusive networks," CORE Discussion Papers RP -1711, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. Bloch, Francis & Jackson, Matthew, 2004. "The Formation of Networks with Transfers among Players," Working Papers 1194, California Institute of Technology, Division of the Humanities and Social Sciences.
  7. Sanjeev Goyal & Sumit Joshi, 2006. "Unequal connections," International Journal of Game Theory, Springer, vol. 34(3), pages 319-349, October.
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Cited by:
  1. Antoni Calvó-Armengol & Rahmi Ilkiliç, 2004. "Pairwise-Stability and Nash Equilibria in Network Formation," Working Papers 182, Barcelona Graduate School of Economics.
  2. Sudipta Sarangi & Robert P. Gilles, . "The Role of Beliefs and Confidence in Building Social Networks," Departmental Working Papers 2005-15, Department of Economics, Louisiana State University.
  3. Robert P. Gilles & Sudipta Sarangi, 2006. "Building Social Networks," Discussion Papers of DIW Berlin 642, DIW Berlin, German Institute for Economic Research.
  4. Tim Hellmann & Mathias Staudigl, 2012. "Evolution of Social networks," Working Papers 470, Bielefeld University, Center for Mathematical Economics.

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