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Network formation with heterogeneous agents and absolute friction

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  • J. VANDENBOSSCHE
  • T. DEMUYNCK
  • -

Abstract

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.

Suggested Citation

  • J. Vandenbossche & T. Demuynck & -, 2010. "Network formation with heterogeneous agents and absolute friction," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 10/642, Ghent University, Faculty of Economics and Business Administration.
  • Handle: RePEc:rug:rugwps:10/642
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    1. Frank H. Page & Myrna H. Wooders, 2009. "Endogenous Network Dynamics," Working Papers 2009.28, Fondazione Eni Enrico Mattei.
    2. De Weerdt, Joachim & Dercon, Stefan, 2006. "Risk-sharing networks and insurance against illness," Journal of Development Economics, Elsevier, vol. 81(2), pages 337-356, December.
    3. 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.
    4. Slikker, Marco & van den Nouweland, Anne, 2001. "A One-Stage Model of Link Formation and Payoff Division," Games and Economic Behavior, Elsevier, vol. 34(1), pages 153-175, January.
    5. Matthew O. Jackson & Brian W. Rogers, 2005. "The Economics of Small Worlds," Journal of the European Economic Association, MIT Press, vol. 3(2-3), pages 617-627, 04/05.
    6. Robert P. Gilles & Cathleen Johnson, 2000. "original papers : Spatial social networks," Review of Economic Design, Springer;Society for Economic Design, vol. 5(3), pages 273-299.
    7. Dutta, Bhaskar & Ghosal, Sayantan & Ray, Debraj, 2005. "Farsighted network formation," Journal of Economic Theory, Elsevier, vol. 122(2), pages 143-164, June.
    8. Page Jr., Frank H. & Wooders, Myrna, 2009. "Strategic basins of attraction, the path dominance core, and network formation games," Games and Economic Behavior, Elsevier, vol. 66(1), pages 462-487, May.
    9. Olivier Tercieux & Vincent Vannetelbosch, 2006. "A characterization of stochastically stable networks," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(3), pages 351-369, October.
    10. Stef Tijs & Anne van den Nouweland & Bhaskar Dutta, 1998. "Link formation in cooperative situations," International Journal of Game Theory, Springer;Game Theory Society, vol. 27(2), pages 245-256.
    11. Jackson, Matthew O. & van den Nouweland, Anne, 2005. "Strongly stable networks," Games and Economic Behavior, Elsevier, vol. 51(2), pages 420-444, May.
    12. Haller, Hans & Sarangi, Sudipta, 2005. "Nash networks with heterogeneous links," Mathematical Social Sciences, Elsevier, vol. 50(2), pages 181-201, September.
    13. 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.
    14. Jackson, Matthew O., 2005. "Allocation rules for network games," Games and Economic Behavior, Elsevier, vol. 51(1), pages 128-154, April.
    15. Deroian, Frederic, 2003. "Farsighted strategies in the formation of a communication network," Economics Letters, Elsevier, vol. 80(3), pages 343-349, September.
    16. 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.
    17. Margherita Comola & Marcel Fafchamps, 2014. "Testing Unilateral and Bilateral Link Formation," Economic Journal, Royal Economic Society, vol. 124(579), pages 954-976, September.
    18. Hojman, Daniel A. & Szeidl, Adam, 2008. "Core and periphery in networks," Journal of Economic Theory, Elsevier, vol. 139(1), pages 295-309, March.
    19. Bloch, Francis & Jackson, Matthew O., 2007. "The formation of networks with transfers among players," Journal of Economic Theory, Elsevier, vol. 133(1), pages 83-110, March.
    20. Herings, P. Jean-Jacques & Mauleon, Ana & Vannetelbosch, Vincent, 2009. "Farsightedly stable networks," Games and Economic Behavior, Elsevier, vol. 67(2), pages 526-541, November.
    21. Matthew O. Jackson & Bhaskar Dutta, 2000. "original papers : The stability and efficiency of directed communication networks," Review of Economic Design, Springer;Society for Economic Design, vol. 5(3), pages 251-272.
    22. Fafchamps, Marcel & Gubert, Flore, 2007. "The formation of risk sharing networks," Journal of Development Economics, Elsevier, vol. 83(2), pages 326-350, July.
    23. Fafchamps, Marcel & Lund, Susan, 2003. "Risk-sharing networks in rural Philippines," Journal of Development Economics, Elsevier, vol. 71(2), pages 261-287, August.
    24. 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.
    25. Jan K. Brueckner, 2006. "Friendship Networks," Journal of Regional Science, Wiley Blackwell, vol. 46(5), pages 847-865, December.
    26. Frank H. Page & Myrna H. Wooders, 2009. "Endogenous Network Dynamics," Working Papers 2009.28, Fondazione Eni Enrico Mattei.
    27. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
    28. Feri, Francesco, 2007. "Stochastic stability in networks with decay," Journal of Economic Theory, Elsevier, vol. 135(1), pages 442-457, July.
    29. 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.
    30. repec:dau:papers:123456789/4392 is not listed on IDEAS
    31. Watts, Alison, 2002. "Non-myopic formation of circle networks," Economics Letters, Elsevier, vol. 74(2), pages 277-282, January.
    32. Galeotti, Andrea & Goyal, Sanjeev & Kamphorst, Jurjen, 2006. "Network formation with heterogeneous players," Games and Economic Behavior, Elsevier, vol. 54(2), pages 353-372, February.
    33. 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.
    34. (*), Anne van den Nouweland & Marco Slikker, 2000. "original papers : Network formation models with costs for establishing links," Review of Economic Design, Springer;Society for Economic Design, vol. 5(3), pages 333-362.
    35. Sanjeev Goyal & Sumit Joshi, 2006. "Unequal connections," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(3), pages 319-349, October.
    36. Calvo-Armengol, Antoni, 2004. "Job contact networks," Journal of Economic Theory, Elsevier, vol. 115(1), pages 191-206, March.
    37. 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.
    38. Margherita Comola & Marcel Fafchamps, 2014. "Testing Unilateral and Bilateral Link Formation," Economic Journal, Royal Economic Society, vol. 124(579), pages 954-976, September.
    39. Watts, Alison, 2001. "A Dynamic Model of Network Formation," Games and Economic Behavior, Elsevier, vol. 34(2), pages 331-341, February.
    40. Bala, V. & Goyal, S., 1997. "Self-Organization in Communication Networks," Econometric Institute Research Papers EI 9713-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    41. Joachim De Weerdt, 2002. "Risk-Sharing and Endogenous Network Formation," WIDER Working Paper Series DP2002-57, World Institute for Development Economic Research (UNU-WIDER).
    42. COMOLA Margherita, 2007. "The network structure of informal arrangements : evidence from rural Tanzania," Research Unit Working Papers 0708, Laboratoire d'Economie Appliquee, INRA.
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    1. Rong, Rong & Houser, Daniel, 2015. "Growing stars: A laboratory analysis of network formation," Journal of Economic Behavior & Organization, Elsevier, vol. 117(C), pages 380-394.
    2. Heydari, Babak & Mosleh, Mohsen & Dalili, Kia, 2015. "Efficient Network Structures with Separable Heterogeneous Connection Costs," MPRA Paper 63968, University Library of Munich, Germany.
    3. Margherita Comola & Marcel Fafchamps, 2017. "The Missing Transfers: Estimating Misreporting in Dyadic Data," Economic Development and Cultural Change, University of Chicago Press, vol. 65(3), pages 549-582.
    4. Comola, Margherita & Fafchamps, Marcel, 2014. "Estimating Mis-reporting in Dyadic Data: Are Transfers Mutually Beneficial?," IZA Discussion Papers 8664, Institute of Labor Economics (IZA).
    5. Olaizola, Norma & Valenciano, Federico, 2021. "Efficiency and stability in the connections model with heterogeneous node," MPRA Paper 107797, University Library of Munich, Germany.
    6. Margherita Comola & Mariapia Mendola, 2015. "Formation of Migrant Networks," Scandinavian Journal of Economics, Wiley Blackwell, vol. 117(2), pages 592-618, April.
    7. Heydari, Babak & Mosleh, Mohsen & Dalili, Kia, 2015. "Efficient network structures with separable heterogeneous connection costs," Economics Letters, Elsevier, vol. 134(C), pages 82-85.
    8. Gabriele Tedeschi & Stefania Vitali & Mauro Gallegati, 2014. "The dynamic of innovation networks: a switching model on technological change," Journal of Evolutionary Economics, Springer, vol. 24(4), pages 817-834, September.
    9. Berardi, Simone & Tedeschi, Gabriele, 2017. "From banks' strategies to financial (in)stability," International Review of Economics & Finance, Elsevier, vol. 47(C), pages 255-272.
    10. Margherita Comola & Mariapia Mendola, 2013. "The Formation of Migrant Networks," Development Working Papers 353, Centro Studi Luca d'Agliano, University of Milano.
    11. Arcand, Jean-Louis & Fafchamps, Marcel, 2012. "Matching in community-based organizations," Journal of Development Economics, Elsevier, vol. 98(2), pages 203-219.
    12. Margherita Comola & Marcel Fafchamps, 2015. "An Experimental Study of Decentralized Link Formation with Competition," NBER Working Papers 21758, National Bureau of Economic Research, Inc.
    13. Babak Heydari & Mohsen Mosleh & Kia Dalili, 2015. "Efficient Network Structures with Separable Heterogeneous Connection Costs," Papers 1504.06634, arXiv.org, revised Dec 2015.

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    More about this item

    Keywords

    network formation; heterogeneity; absolute friction;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other

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