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Network formation with heterogeneous agents and absolute friction

  • J. VANDENBOSSCHE

    ()

  • T. DEMUYNCK
  • -

We present a model of endogenous network formation with absolute friction and heterogeneous agents. The individual payoffs from a given network are determined by the difference of an agent specific utility function that depends on the number of his/her direct links and the sum of his/her link-costs. These link-costs decompose in a symmetric function that represents the social and geographical distance between the two agents and an agent specific function representing the partner’s wealth and status. From a theoretical point of view, we define a new stability concept that is situated between the notions of pairwise stability (see Jackson and Wolinsky (1996)) and strong stability (see Dutta and Mutuswami (1997)). We show that our model has a unique stable network and we demonstrate that it is also strongly stable. As such, we provide uniqueness and existence for a whole range of stability concepts situated between our new stability concept and strong stability. From a practical point of view, we provide an algorithm that reproduces this stable network from information on the individual payoff structure. We illustrate the use of this algorithm by applying it to an informal insurance data set from the village of Nyakatoke in rural Tanzania.

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Paper provided by Ghent University, Faculty of Economics and Business Administration in its series Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium with number 10/642.

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Length: 27 pages
Date of creation: Feb 2010
Date of revision:
Handle: RePEc:rug:rugwps:10/642
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  1. 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.
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  4. Olivier Tercieux & Vincent Vannetelbosch, 2006. "A characterization of stochastically stable networks," Post-Print halshs-00754134, HAL.
  5. COMOLA Margherita, 2007. "The network structure of informal arrangements : evidence from rural Tanzania," Research Unit Working Papers 0708, Laboratoire d'Economie Appliquee, INRA.
  6. Page, Frank Jr. & Wooders, Myrna H. & Kamat, Samir, 2005. "Networks and farsighted stability," Journal of Economic Theory, Elsevier, vol. 120(2), pages 257-269, February.
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  8. Dutta, Bhaskar & Mutuswami, Suresh, 1996. "Stable Networks," Working Papers 971, California Institute of Technology, Division of the Humanities and Social Sciences.
  9. Venkatesh Bala & Sanjeev Goyal, 2000. "original papers : A strategic analysis of network reliability," Review of Economic Design, Springer;Society for Economic Design, vol. 5(3), pages 205-228.
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  15. Bhaskar Dutta & Sayantan Ghosal & Debraj Ray, 2004. "Farsighted Network Formation," Working papers 122, Centre for Development Economics, Delhi School of Economics.
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  19. Marcel Fafchamps & Flore Gubert, 2005. "The Formation of Risk Sharing Networks," Economics Series Working Papers GPRG-WPS-037, University of Oxford, Department of Economics.
  20. Marcel Fafchamps & Susan Lund, . "Risk Sharing Networks in Rural Philippines," Working Papers 97014, Stanford University, Department of Economics.
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  23. Frank Page & Myrna Wooders, 2007. "Strategic Basins of Attraction, the Path Dominance Core, and Network Formation Games," Caepr Working Papers 2007-020, Center for Applied Economics and Policy Research, Economics Department, Indiana University Bloomington.
  24. Frank H. Page, Jr. & Myrna H. Wooders, 2009. "Endogenous Network Dynamics," Caepr Working Papers 2009-002, Center for Applied Economics and Policy Research, Economics Department, Indiana University Bloomington.
  25. Galeotti, Andrea & Goyal, Sanjeev & Kamphorst, Jurjen, 2003. "Network Formation with Heterogeneous Players," Economics Discussion Papers 2996, University of Essex, Department of Economics.
  26. Feri, Francesco, 2007. "Stochastic stability in networks with decay," Journal of Economic Theory, Elsevier, vol. 135(1), pages 442-457, July.
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  29. Watts, Alison, 2001. "A Dynamic Model of Network Formation," Games and Economic Behavior, Elsevier, vol. 34(2), pages 331-341, February.
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  37. Nicolas Carayol & Pascale Roux, 2006. "A strategic model of complex networks formation," Working Papers of BETA 2006-02, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
  38. Watts, Alison, 2002. "Non-myopic formation of circle networks," Economics Letters, Elsevier, vol. 74(2), pages 277-282, January.
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