[go: up one dir, main page]
More Web Proxy on the site http://driver.im/
IDEAS home Printed from https://ideas.repec.org/a/kap/compec/v42y2013i1p23-45.html
   My bibliography  Save this article

Network Formation with Heterogeneous Agents and Absolute Friction

Author

Listed:
  • Joost Vandenbossche
  • Thomas Demuynck
Abstract
We present a model of strategic 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 her direct links and the sum of her link-costs. These link-costs decompose in a symmetric function that represents the social distance between the two agents and an agent specific function representing the partner’s quality. From a theoretical point of view, we analyze strong pairwise stable networks (Belleflamme and Bloch, Int Econ Rev 45(2):387–411, 2004 ) and show that our model always has a unique strong pairwise stable network which is also strongly stable (Dutta and Mutuswami, J Econ Theory, 76:322–344, 1997 ). 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 risk sharing network data set from the village of Nyakatoke in rural Tanzania. Copyright Springer Science+Business Media, LLC. 2013

Suggested Citation

  • Joost Vandenbossche & Thomas Demuynck, 2013. "Network Formation with Heterogeneous Agents and Absolute Friction," Computational Economics, Springer;Society for Computational Economics, vol. 42(1), pages 23-45, June.
    • Handle: RePEc:kap:compec:v:42:y:2013:i:1:p:23-45
    DOI: 10.1007/s10614-012-9315-1
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10614-012-9315-1
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10614-012-9315-1?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    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. 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.
    4. 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.
    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. 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.
    8. Dutta, Bhaskar & Ghosal, Sayantan & Ray, Debraj, 2005. "Farsighted network formation," Journal of Economic Theory, Elsevier, vol. 122(2), pages 143-164, June.
    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. Feri, Francesco, 2007. "Stochastic stability in networks with decay," Journal of Economic Theory, Elsevier, vol. 135(1), pages 442-457, July.
    15. Jackson, Matthew O., 2005. "Allocation rules for network games," Games and Economic Behavior, Elsevier, vol. 51(1), pages 128-154, April.
    16. Deroian, Frederic, 2003. "Farsighted strategies in the formation of a communication network," Economics Letters, Elsevier, vol. 80(3), pages 343-349, September.
    17. 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.
    18. Margherita Comola & Marcel Fafchamps, 2014. "Testing Unilateral and Bilateral Link Formation," Economic Journal, Royal Economic Society, vol. 124(579), pages 954-976, September.
    19. Hojman, Daniel A. & Szeidl, Adam, 2008. "Core and periphery in networks," Journal of Economic Theory, Elsevier, vol. 139(1), pages 295-309, March.
    20. Francesco Feri, 2005. "Network Formation with Endogenous Decay," Working Papers 2005.35, Fondazione Eni Enrico Mattei.
    21. 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.
    22. Herings, P. Jean-Jacques & Mauleon, Ana & Vannetelbosch, Vincent, 2009. "Farsightedly stable networks," Games and Economic Behavior, Elsevier, vol. 67(2), pages 526-541, November.
    23. 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.
    24. Fafchamps, Marcel & Gubert, Flore, 2007. "The formation of risk sharing networks," Journal of Development Economics, Elsevier, vol. 83(2), pages 326-350, July.
    25. Fafchamps, Marcel & Lund, Susan, 2003. "Risk-sharing networks in rural Philippines," Journal of Development Economics, Elsevier, vol. 71(2), pages 261-287, August.
    26. Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
    27. 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.
    28. Jan K. Brueckner, 2006. "Friendship Networks," Journal of Regional Science, Wiley Blackwell, vol. 46(5), pages 847-865, December.
    29. Frank H. Page & Myrna H. Wooders, 2009. "Endogenous Network Dynamics," Working Papers 2009.28, Fondazione Eni Enrico Mattei.
    30. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
    31. 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.
    32. repec:dau:papers:123456789/4392 is not listed on IDEAS
    33. Watts, Alison, 2002. "Non-myopic formation of circle networks," Economics Letters, Elsevier, vol. 74(2), pages 277-282, January.
    34. Galeotti, Andrea & Goyal, Sanjeev & Kamphorst, Jurjen, 2006. "Network formation with heterogeneous players," Games and Economic Behavior, Elsevier, vol. 54(2), pages 353-372, February.
    35. 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.
    36. (*), 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.
    37. Sanjeev Goyal & Sumit Joshi, 2006. "Unequal connections," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(3), pages 319-349, October.
    38. Calvo-Armengol, Antoni, 2004. "Job contact networks," Journal of Economic Theory, Elsevier, vol. 115(1), pages 191-206, March.
    39. 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.
    40. Watts, Alison, 2001. "A Dynamic Model of Network Formation," Games and Economic Behavior, Elsevier, vol. 34(2), pages 331-341, February.
    41. 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.
    42. Joachim De Weerdt, 2002. "Risk-Sharing and Endogenous Network Formation," WIDER Working Paper Series DP2002-57, World Institute for Development Economic Research (UNU-WIDER).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. Olaizola, By Norma & Valenciano, Federico, 2021. "Efficiency and stability in the connections model with heterogeneous nodes," Journal of Economic Behavior & Organization, Elsevier, vol. 189(C), pages 490-503.
    3. 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.
    4. Mohsen Mosleh & Peter Ludlow & Babak Heydari, 2016. "Distributed Resource Management in Systems of Systems: An Architecture Perspective," Systems Engineering, John Wiley & Sons, vol. 19(4), pages 362-374, July.
    5. Heydari, Babak & Mosleh, Mohsen & Dalili, Kia, 2015. "Efficient network structures with separable heterogeneous connection costs," Economics Letters, Elsevier, vol. 134(C), pages 82-85.
    6. 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.
    7. Margherita Comola & Mariapia Mendola, 2015. "Formation of Migrant Networks," Scandinavian Journal of Economics, Wiley Blackwell, vol. 117(2), pages 592-618, April.
    8. Babak Heydari & Mohsen Mosleh & Kia Dalili, 2015. "Efficient Network Structures with Separable Heterogeneous Connection Costs," Papers 1504.06634, arXiv.org, revised Dec 2015.
    9. Heydari, Babak & Mosleh, Mohsen & Dalili, Kia, 2015. "Efficient Network Structures with Separable Heterogeneous Connection Costs," MPRA Paper 63968, University Library of Munich, Germany.
    10. Comola, Margherita & Fafchamps, Marcel, 2014. "Estimating Mis-reporting in Dyadic Data: Are Transfers Mutually Beneficial?," IZA Discussion Papers 8664, Institute of Labor Economics (IZA).
    11. Berardi, Simone & Tedeschi, Gabriele, 2017. "From banks' strategies to financial (in)stability," International Review of Economics & Finance, Elsevier, vol. 47(C), pages 255-272.
    12. Arcand, Jean-Louis & Fafchamps, Marcel, 2012. "Matching in community-based organizations," Journal of Development Economics, Elsevier, vol. 98(2), pages 203-219.
    13. Margherita Comola & Marcel Fafchamps, 2015. "An Experimental Study of Decentralized Link Formation with Competition," NBER Working Papers 21758, National Bureau of Economic Research, Inc.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hellmann, Tim & Staudigl, Mathias, 2014. "Evolution of social networks," European Journal of Operational Research, Elsevier, vol. 234(3), pages 583-596.
    2. Matthew O. Jackson, 2003. "A Survey of Models of Network Formation: Stability and Efficiency," Game Theory and Information 0303011, University Library of Munich, Germany.
    3. Jean-François Caulier & Michel Grabisch & Agnieszka Rusinowska, 2015. "An allocation rule for dynamic random network formation processes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(2), pages 283-313, October.
    4. Roland Pongou & Roberto Serrano, 2009. "A dynamic theory of fidelity networks with an application to the spread of HIV/AIDS," Working Papers 2009-03, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
    5. Chenghong Luo & Ana Mauleon & Vincent Vannetelbosch, 2021. "Network formation with myopic and farsighted players," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(4), pages 1283-1317, June.
    6. Pongou, Roland & Serrano, Roberto, 2016. "Volume of trade and dynamic network formation in two-sided economies," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 147-163.
    7. Christophe Bravard & Sudipta Sarangi & PHILIPP MÖHLMEIER & AGNIESZKA RUSINOWSKA & EMILY TANIMURA, 2016. "A Degree-Distance-Based Connections Model with Negative and Positive Externalities," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 18(2), pages 168-192, April.
    8. Kirchsteiger, Georg & Mantovani, Marco & Mauleon, Ana & Vannetelbosch, Vincent, 2016. "Limited farsightedness in network formation," Journal of Economic Behavior & Organization, Elsevier, vol. 128(C), pages 97-120.
    9. Pongou, Roland & Serrano, Roberto, 2013. "Dynamic Network Formation in Two-Sided Economies," MPRA Paper 46021, University Library of Munich, Germany.
    10. Youngsub Chun & Sunghoon Hong & Bong Chan Koh, 2017. "Population invariance properties of social and economic networks," International Journal of Economic Theory, The International Society for Economic Theory, vol. 13(3), pages 255-267, September.
    11. Dutta, Bhaskar & Ghosal, Sayantan & Ray, Debraj, 2005. "Farsighted network formation," Journal of Economic Theory, Elsevier, vol. 122(2), pages 143-164, June.
    12. Dev, Pritha, 2010. "Identity and Fragmentation in Networks," MPRA Paper 21632, University Library of Munich, Germany.
    13. Alessio D'Ignazio & Emanuele Giovannetti, 2006. "From Exogenous To Endogenous Economic Networks: Internet Applications," Journal of Economic Surveys, Wiley Blackwell, vol. 20(5), pages 757-796, December.
    14. 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.
    15. Jackson, Matthew O. & Zenou, Yves, 2015. "Games on Networks," Handbook of Game Theory with Economic Applications,, Elsevier.
    16. Marco Mantovani & Georg Kirchsteiger & Ana Mauleon & Vincent Vannetelbosch, 2011. "Myopic or Farsighted? An Experiment on Network Formation," Working Papers 2011.45, Fondazione Eni Enrico Mattei.
    17. Carayol, Nicolas & Delille, Rémy & Vannetelbosch, Vincent, 2015. "Allocating value among farsighted players in network formation," Economics Letters, Elsevier, vol. 137(C), pages 50-53.
    18. Frank H. Page & Myrna H. Wooders, 2009. "Endogenous Network Dynamics," Working Papers 2009.28, Fondazione Eni Enrico Mattei.
    19. Sommarat Chantarat & Christopher Barrett, 2012. "Social network capital, economic mobility and poverty traps," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 10(3), pages 299-342, September.
    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.

    More about this item

    Keywords

    Network formation; Heterogeneity; Absolute friction; C62; C78; C79;
    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kap:compec:v:42:y:2013:i:1:p:23-45. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.