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Networks with decreasing returns to linking

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  • Filippo Vergara Caffarelli

    (Bank of Italy JEL classification: C72, D83, D85)

Abstract

This paper presents a model of non-cooperative network formation in which the marginal benefit of new links eventually decreases. Agents link with each other to gain information and update their links according to better-reply dynamics. In the long run the system settles to a unique network architecture that consists of a constellation of starred wheels. This is reminiscent of some real-world features. Collections of smaller disjoint networks connecting only a few agents are more common than global networks connecting all the agents in a community. Differences within a connected component such as the centre and the periphery are established.

Suggested Citation

  • Filippo Vergara Caffarelli, 2009. "Networks with decreasing returns to linking," Temi di discussione (Economic working papers) 734, Bank of Italy, Economic Research and International Relations Area.
    • Handle: RePEc:bdi:wptemi:td_734_09
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    File URL: http://www.bancaditalia.it/pubblicazioni/temi-discussione/2009/2009-0734/en_tema_734.pdf
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    References listed on IDEAS

    as
    1. Hinnerk Gnutzmann, 2008. "Network Formation Under Cumulative Advantage: Evidence from The Cambridge High-Tech Cluster," Computational Economics, Springer;Society for Computational Economics, vol. 32(4), pages 407-413, November.
    2. 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.
    3. Falk Armin & Kosfeld Michael, 2012. "It's all about Connections: Evidence on Network Formation," Review of Network Economics, De Gruyter, vol. 11(3), pages 1-36, September.
    4. Sergio Currarini & Massimo Morelli, 2000. "original papers : Network formation with sequential demands," Review of Economic Design, Springer;Society for Economic Design, vol. 5(3), pages 229-249.
    5. 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.
    6. 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.
    7. Corbae, Dean & Duffy, John, 2008. "Experiments with network formation," Games and Economic Behavior, Elsevier, vol. 64(1), pages 81-120, September.
    8. Ritzberger, Klaus & Weibull, Jorgen W, 1995. "Evolutionary Selection in Normal-Form Games," Econometrica, Econometric Society, vol. 63(6), pages 1371-1399, November.
    9. Sanjeev Goyal, 2007. "Introduction to Connections: An Introduction to the Economics of Networks," Introductory Chapters, in: Connections: An Introduction to the Economics of Networks, Princeton University Press.
    10. Paolo Guerrieri & Simona Iammarino & Carlo Pietrobelli (ed.), 2001. "The Global Challenge to Industrial Districts," Books, Edward Elgar Publishing, number 2422.
    11. Goyal, Sanjeev & Joshi, Sumit, 2003. "Networks of collaboration in oligopoly," Games and Economic Behavior, Elsevier, vol. 43(1), pages 57-85, April.
    12. Andrea Ichino & Giovanni Maggi, 2000. "Work Environment and Individual Background: Explaining Regional Shirking Differentials in a Large Italian Firm," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 115(3), pages 1057-1090.
    13. Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
    14. Michele Manna & Carmela Iazzetta, 2009. "The topology of the interbank market: developments in Italy since 1990," Temi di discussione (Economic working papers) 711, Bank of Italy, Economic Research and International Relations Area.
    15. Rajgopal Kannan & Lydia Ray & Sudipta Sarangi, 2007. "The structure of information networks," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(1), pages 119-134, January.
    16. Fagiolo, Giorgio, 2005. "Endogenous neighborhood formation in a local coordination model with negative network externalities," Journal of Economic Dynamics and Control, Elsevier, vol. 29(1-2), pages 297-319, January.
    17. Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 817-868.
    18. Sylvie Chetty & Henrik Agndal, 2008. "Role of Inter-organizational Networks and Interpersonal Networks in an Industrial District," Regional Studies, Taylor & Francis Journals, vol. 42(2), pages 175-187.
    19. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
    20. Case, A.C. & Katz, L.F., 1991. "The Company You Keep: The Effects Of Family And Neighborhood On Disadvantaged Younths," Harvard Institute of Economic Research Working Papers 1555, Harvard - Institute of Economic Research.
    21. Galeotti, Andrea & Goyal, Sanjeev & Kamphorst, Jurjen, 2006. "Network formation with heterogeneous players," Games and Economic Behavior, Elsevier, vol. 54(2), pages 353-372, February.
    22. Tesfatsion, Leigh, 1999. "Hysteresis in an Evolutionary Labor Market with Adaptive Search," ISU General Staff Papers 199910010700001048, Iowa State University, Department of Economics.
    23. Vega-Redondo,Fernando, 2007. "Complex Social Networks," Cambridge Books, Cambridge University Press, number 9780521674096, October.
    24. Castiglionesi, F. & Navarro, N., 2007. "Optimal Fragile Financial Networks," Discussion Paper 2007-100, Tilburg University, Center for Economic Research.
    25. Yaron Leitner, 2005. "Financial Networks: Contagion, Commitment, and Private Sector Bailouts," Journal of Finance, American Finance Association, vol. 60(6), pages 2925-2953, December.
    26. Yann Bramoullé & Dunia López-Pintado & Sanjeev Goyal & Fernando Vega-Redondo, 2004. "Network formation and anti-coordination games," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(1), pages 1-19, January.
    27. Mutuswami, Suresh & Winter, Eyal, 2002. "Subscription Mechanisms for Network Formation," Journal of Economic Theory, Elsevier, vol. 106(2), pages 242-264, October.
    28. 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.
    29. Juan Larrosa & Fernando Tohme, 2003. "Network Formation with Heterogenous Agents," Microeconomics 0301002, University Library of Munich, Germany.
    30. Fabio Castiglionesi, 2008. "Optimal Fragile Financial Networks," 2008 Meeting Papers 658, Society for Economic Dynamics.
    31. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-1071, September.
    32. Dutta, Bhaskar & Ghosal, Sayantan & Ray, Debraj, 2005. "Farsighted network formation," Journal of Economic Theory, Elsevier, vol. 122(2), pages 143-164, June.
    33. Vega-Redondo,Fernando, 2007. "Complex Social Networks," Cambridge Books, Cambridge University Press, number 9780521857406, October.
    34. Hojman, Daniel A. & Szeidl, Adam, 2008. "Core and periphery in networks," Journal of Economic Theory, Elsevier, vol. 139(1), pages 295-309, March.
    35. K. de Jaegher & J.J.A. Kamphorst, 2008. "Network formation with decreasing marginal benefits of information," Working Papers 08-16, Utrecht School of Economics.
    36. Goyal, Sanjeev & Vega-Redondo, Fernando, 2005. "Network formation and social coordination," Games and Economic Behavior, Elsevier, vol. 50(2), pages 178-207, February.
    37. D'Ignazio, A. & Giovannetti, E., 2004. "From Exogenous to Endogenous Networks: Internet Applications," Cambridge Working Papers in Economics 0445, Faculty of Economics, University of Cambridge.
    38. Slikker, Marco & Dutta, Bhaskar & van den Nouweland, Anne & Tijs, Stef, 2000. "Potential maximizers and network formation," Mathematical Social Sciences, Elsevier, vol. 39(1), pages 55-70, January.
    39. Sudipta Sarangi & H. Haller, 2003. "Nash Networks with Heterogeneous Agents," Departmental Working Papers 2003-06, Department of Economics, Louisiana State University.
    40. Qin, Cheng-Zhong, 1996. "Endogenous Formation of Cooperation Structures," Journal of Economic Theory, Elsevier, vol. 69(1), pages 218-226, April.
    41. repec:use:tkiwps:1616 is not listed on IDEAS
    42. Francis Bloch & Matthew Jackson, 2006. "Definitions of equilibrium in network formation games," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(3), pages 305-318, October.
    43. Nier, Erlend & Yang, Jing & Yorulmazer, Tanju & Alentorn, Amadeo, 2007. "Network models and financial stability," Journal of Economic Dynamics and Control, Elsevier, vol. 31(6), pages 2033-2060, June.
    44. Michael Boss & Helmut Elsinger & Martin Summer & Stefan Thurner, 2004. "Network topology of the interbank market," Quantitative Finance, Taylor & Francis Journals, vol. 4(6), pages 677-684.
    45. Filippo VERGARA CAFFARELLI, 2004. "Non-Cooperative Network Formation with Network Maintenance Costs," Economics Working Papers ECO2004/18, European University Institute.
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    2. Charoensook, Banchongsan, 2012. "A noncooperative model of network formation with decreasing productivity," MPRA Paper 36570, University Library of Munich, Germany.

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    Keywords

    networks; coordination; learning dynamics; non-cooperative games;
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