IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this paper or follow this series

Nestedness in Networks: A Theoretical Model and Some Applications

  • Michael Koenig

    ()

    (Stanford University)

  • Claudio Tessone

    ()

    (Swiss Federal Institute of Technology Zurich)

  • Yves Zenou

    ()

    (Stockholm University)

We develop a dynamic network formation model that can explain the observed nestedness in real-world networks. Links are formed on the basis of agents’ centrality and have an exponentially distributed life time. We use stochastic stability to identify the networks to which the network formation process converges and find that they are nested split graphs. We completely determine the topological properties of the stochastically stable networks and show that they match features exhibited by real-world networks. Using four different network datasets, we empirically test our model and show that it fits well the observed networks.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www-siepr.stanford.edu/repec/sip/11-005.pdf
Download Restriction: no

Paper provided by Stanford Institute for Economic Policy Research in its series Discussion Papers with number 11-003.

as
in new window

Length:
Date of creation: Jan 2012
Date of revision:
Handle: RePEc:sip:dpaper:11-005
Contact details of provider: Postal: 366 Galvez Street, Stanford, California 94305-6015
Phone: (650) 725-1874
Fax: (650) 723-8611
Web page: http://siepr.stanford.edu

More information through EDIRC

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. Cohen-Cole, Ethan & Patacchini, Eleonora & Zenou, Yves, 2011. "Systemic Risk and Network Formation in the Interbank Market," CEPR Discussion Papers 8332, C.E.P.R. Discussion Papers.
  2. George Ehrhardt & Matteo Marsili & Fernando Vega-Redondo, 2008. "Networks Emerging in a Volatile World," Economics Working Papers ECO2008/08, European University Institute.
  3. Lee, Lung-Fei & Liu, Xiaodong & Patacchini, Eleonora & Zenou, Yves, 2012. "Criminal Networks: Who is the Key Player?," CEPR Discussion Papers 8772, C.E.P.R. Discussion Papers.
  4. Guimera, R. & Danon, L. & Diaz-Guilera, A. & Giralt, F. & Arenas, A., 2006. "The real communication network behind the formal chart: Community structure in organizations," Journal of Economic Behavior & Organization, Elsevier, vol. 61(4), pages 653-667, December.
  5. George P. Baker & Robert Gibbons & Kevin J. Murphy, 2008. "Strategic alliances: Bridges between "islands of conscious power"," NBER Chapters, in: Organizational Innovation and Firm Performance, pages 146-163 National Bureau of Economic Research, Inc.
  6. Mathias Staudigl, 2010. "Potential games in volatile environments," Vienna Economics Papers 1002, University of Vienna, Department of Economics.
  7. Olivier DUPOUËT (BETA UMR CNRS 7522) & Murat YILDIZOGLU (IFReDE-E3i), 2003. "Organizational performance in hierarchies and communities of practice," Cahiers du GRES (2002-2009) 2003-06, Groupement de Recherches Economiques et Sociales.
  8. Andrea Galeotti & Sanjeev Goyal & Matthew O. Jackson & Fernando Vega-Redondo & Leeat Yariv, 2008. "Network Games," Economics Working Papers ECO2008/07, European University Institute.
    • Andrea Galeotti & Sanjeev Goyal & Matthew O. Jackson & Fernando Vega-Redondo & Leeat Yariv, 2010. "Network Games," Review of Economic Studies, Oxford University Press, vol. 77(1), pages 218-244.
  9. Cabrales, Antonio & Calvó-Armengol, Antoni & Zenou, Yves, 2010. "Social Interactions and Spillovers," Research Papers in Economics 2010:20, Stockholm University, Department of Economics.
  10. Andrea Galeotti & Sanjeev Goyal, 2007. "The Law of the Few," Economics Discussion Papers 636, University of Essex, Department of Economics.
  11. Coralio Ballester & Antoni Calvo-Armengol & Yves Zenou, 2005. "Who's Who in Networks. Wanted: the Key Player," NajEcon Working Paper Reviews 666156000000000586, www.najecon.org.
  12. Sanjeev Goyal & Marco van der Leij & José Luis Moraga Gonzales, 2004. "Economics: An Emerging Small World?," CESifo Working Paper Series 1287, CESifo Group Munich.
  13. Rajdeep Grewal & Gary L. Lilien & Girish Mallapragada, 2006. "Location, Location, Location: How Network Embeddedness Affects Project Success in Open Source Systems," Management Science, INFORMS, vol. 52(7), pages 1043-1056, July.
  14. Yann Bramoull? & Rachel Kranton & Martin D'Amours, 2014. "Strategic Interaction and Networks," American Economic Review, American Economic Association, vol. 104(3), pages 898-930, March.
  15. Akerman, Anders & Larsson, Anna, 2010. "The Global Arms Trade Network 1950-2007," Research Papers in Economics 2010:2, Stockholm University, Department of Economics.
  16. Antoni Calvó-Armengol & Yves Zenou, 2003. "Social Networks and Crime Decisions: The Role of Social Structure in Facilitating Delinquent Behavior," Working Papers 52, Barcelona Graduate School of Economics.
  17. Blume, Lawrence E., 2003. "How noise matters," Games and Economic Behavior, Elsevier, vol. 44(2), pages 251-271, August.
  18. Hagedoorn, John, 2002. "Inter-firm R&D partnerships: an overview of major trends and patterns since 1960," Research Policy, Elsevier, vol. 31(4), pages 477-492, May.
  19. Luca De Benedictis & Lucia Tajoli, 2011. "The World Trade Network," The World Economy, Wiley Blackwell, vol. 34(8), pages 1417-1454, 08.
  20. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
  21. Kimmo Soramaki & Morten L. Bech & Jeffrey Arnold & Robert J. Glass & Walter Beyeler, 2006. "The topology of interbank payment flows," Staff Reports 243, Federal Reserve Bank of New York.
  22. Gert Sabidussi, 1966. "The centrality index of a graph," Psychometrika, Springer, vol. 31(4), pages 581-603, December.
  23. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
  24. Sumit Joshi, 2000. "Networks of Collaboration in Oligopoly," Econometric Society World Congress 2000 Contributed Papers 0623, Econometric Society.
  25. George Ehrhardt & Matteo Marsili & Fernando Vega-Redondo, 2006. "Diffusion and growth in an evolving network," International Journal of Game Theory, Springer, vol. 34(3), pages 383-397, October.
  26. Bruce Kogut & Pietro Urso & Gordon Walker, 2007. "Emergent Properties of a New Financial Market: American Venture Capital Syndication, 1960-2005," Management Science, INFORMS, vol. 53(7), pages 1181-1198, July.
  27. Antoni Calv�-Armengol & Eleonora Patacchini & Yves Zenou, 2009. "Peer Effects and Social Networks in Education," Review of Economic Studies, Oxford University Press, vol. 76(4), pages 1239-1267.
  28. Goyal, S. & Joshi, S., 2000. "Networks of Collaboration in Oligopoly," Econometric Institute Research Papers EI 9952-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  29. Matthew O. Jackson & Brian W. Rogers, 2007. "Meeting Strangers and Friends of Friends: How Random Are Social Networks?," American Economic Review, American Economic Association, vol. 97(3), pages 890-915, June.
  30. Goyal, Sanjeev & Vega-Redondo, Fernando, 2005. "Network formation and social coordination," Games and Economic Behavior, Elsevier, vol. 50(2), pages 178-207, February.
  31. Matthew O. Jackson & Asher Wolinsky, 1995. "A Strategic Model of Social and Economic Networks," Discussion Papers 1098R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  32. Hofbauer, Josef & Sandholm, William H., 2007. "Evolution in games with randomly disturbed payoffs," Journal of Economic Theory, Elsevier, vol. 132(1), pages 47-69, January.
  33. Àlex Arenas & Antonio Cabrales & Leon Danon & Albert Díaz-Guilera & Roger Guimerà & Fernando Vega-Redondo, 2010. "Optimal information transmission in organizations: search and congestion," Review of Economic Design, Springer, vol. 14(1), pages 75-93, March.
  34. Aouchiche, M. & Bell, F.K. & Cvetkovic, D. & Hansen, P. & Rowlinson, P. & Simic, S.K. & Stevanovic, D., 2008. "Variable neighborhood search for extremal graphs. 16. Some conjectures related to the largest eigenvalue of a graph," European Journal of Operational Research, Elsevier, vol. 191(3), pages 661-676, December.
  35. Javier A. Reyes & Camelia Minoiu, 2011. "A Network Analysis of Global Banking:1978-2009," IMF Working Papers 11/74, International Monetary Fund.
  36. Dutta, Bhaskar & Ghosal, Sayantan & Ray, Debraj, 2005. "Farsighted network formation," Journal of Economic Theory, Elsevier, vol. 122(2), pages 143-164, June.
  37. Konishi, Hideo & Ray, Debraj, 2003. "Coalition formation as a dynamic process," Journal of Economic Theory, Elsevier, vol. 110(1), pages 1-41, May.
  38. Matthew O. Jackson & Alison Watts, 2000. "On the Formation of Interaction Networks in Social Coordination Games," Econometric Society World Congress 2000 Contributed Papers 0778, Econometric Society.
  39. Bramoulle, Yann & Kranton, Rachel, 2007. "Public goods in networks," Journal of Economic Theory, Elsevier, vol. 135(1), pages 478-494, July.
  40. Watts, Alison, 2001. "A Dynamic Model of Network Formation," Games and Economic Behavior, Elsevier, vol. 34(2), pages 331-341, February.
  41. Seung Ho Park & Michael V. Russo, 1996. "When Competition Eclipses Cooperation: An Event History Analysis of Joint Venture Failure," Management Science, INFORMS, vol. 42(6), pages 875-890, June.
  42. König, Michael & Tessone, Claudio J. & Zenou, Yves, 2009. "A Dynamic Model of Network Formation with Strategic Interactions," CEPR Discussion Papers 7521, C.E.P.R. Discussion Papers.
  43. 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.
  44. repec:cup:cbooks:9780521857406 is not listed on IDEAS
  45. Ellison, Glenn, 2000. "Basins of Attraction, Long-Run Stochastic Stability, and the Speed of Step-by-Step Evolution," Review of Economic Studies, Wiley Blackwell, vol. 67(1), pages 17-45, January.
  46. 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.
  47. repec:cup:cbooks:9780521674096 is not listed on IDEAS
  48. Feri, Francesco, 2007. "Stochastic stability in networks with decay," Journal of Economic Theory, Elsevier, vol. 135(1), pages 442-457, July.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:sip:dpaper:11-005. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Anne Shor)

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

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

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.