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Network potentials

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Author Info

  • Subhadip Chakrabarti

    ()

  • Robert Gilles

    ()

Abstract

A network payoff function assigns a utility to all participants in a (social) network. In this paper we discuss properties of such network payoff functions that guarantee the existence of certain types of pairwise stable networks and the convergence of certain network formation processes. In particular we investigate network payoff functions that admit an exact network potential or an ordinal network potential. We relate these network potentials to exact and ordinal potentials of a non-cooperative network formation game based on consent in link formation. Our main results extend and strengthen the current insights in the literature on game theoretic approaches to social network formation.

(This abstract was borrowed from another version of this item.)

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File URL: http://hdl.handle.net/10.1007/s10058-007-0026-3
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Bibliographic Info

Article provided by Springer in its journal Review of Economic Design.

Volume (Year): 11 (2007)
Issue (Month): 1 (June)
Pages: 13-52

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Handle: RePEc:spr:reecde:v:11:y:2007:i:1:p:13-52

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Related research

Keywords: Network formation; Pairwise stability; Potential functions; C72; C79; D85;

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References

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  1. Matthew O. Jackson & Anne van den Nouweland, 2002. "Strongly Stable Networks," Microeconomics 0211006, EconWPA.
  2. Slikker, Marco & Gilles, Robert P. & Norde, Henk & Tijs, Stef, 2005. "Directed networks, allocation properties and hierarchy formation," Mathematical Social Sciences, Elsevier, vol. 49(1), pages 55-80, January.
  3. Robert P. Gilles & Sudipta Sarangi, 2006. "Building Social Networks," Discussion Papers of DIW Berlin 642, DIW Berlin, German Institute for Economic Research.
  4. Jackson, Matthew O. & Watts, Alison, 2002. "The Evolution of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 106(2), pages 265-295, October.
  5. Dutta, Bhaskar & Mutuswami, Suresh, 1997. "Stable Networks," Journal of Economic Theory, Elsevier, vol. 76(2), pages 322-344, October.
    • Dutta, Bhaskar & Mutuswami, Suresh, 1996. "Stable Networks," Working Papers 971, California Institute of Technology, Division of the Humanities and Social Sciences.
  6. Qin, Cheng-Zhong, 1996. "Endogenous Formation of Cooperation Structures," Journal of Economic Theory, Elsevier, vol. 69(1), pages 218-226, April.
  7. 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.
  8. 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.
  9. Gilles, R.P. & Sarangi, S., 2004. "Social Network Formation with Consent," Discussion Paper 2004-70, Tilburg University, Center for Economic Research.
  10. Bhaskar Dutta & Suresh Mutuswami, 1997. "Stable Networks," Tinbergen Institute Discussion Papers 97-039/1, Tinbergen Institute.
  11. Goyal, Sanjeev & Vega-Redondo, Fernando, 2007. "Structural holes in social networks," Journal of Economic Theory, Elsevier, vol. 137(1), pages 460-492, November.
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Citations

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Cited by:
  1. Berno Buechel & Tim Hellmann, 2008. "Under-connected and over-connected networks," Working Papers 400, Bielefeld University, Center for Mathematical Economics.
  2. Pin, Paolo, 2011. "Eight degrees of separation," Research in Economics, Elsevier, vol. 65(3), pages 259-270, September.
  3. Berno Buechel & Tim Hellmann, 2012. "Under-connected and over-connected networks: the role of externalities in strategic network formation," Review of Economic Design, Springer, vol. 16(1), pages 71-87, March.
  4. Tim Hellmann & Mathias Staudigl, 2012. "Evolution of Social networks," Working Papers 470, Bielefeld University, Center for Mathematical Economics.
  5. Tim Hellmann, 2009. "Convexity and Complementarity in Network Formation: Implications for the Structure of Pairwise Stable Networks," Working Papers 423, Bielefeld University, Center for Mathematical Economics.
  6. Gilles, Robert P. & Sarangi, Sudipta, 2010. "Network formation under mutual consent and costly communication," Mathematical Social Sciences, Elsevier, vol. 60(3), pages 181-185, November.

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