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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.

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File URL: http://www-siepr.stanford.edu/repec/sip/11-005.pdf
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Paper provided by Stanford Institute for Economic Policy Research in its series Discussion Papers with number 11-003.

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Date of creation: Jan 2012
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Handle: RePEc:sip:dpaper:11-005
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  1. Andrea Galeotti & Sanjeev Goyal, 2007. "The Law of the Few," Economics Discussion Papers 636, University of Essex, Department of Economics.
  2. Vega-Redondo,Fernando, 2007. "Complex Social Networks," Cambridge Books, Cambridge University Press, number 9780521674096, 1.
  3. 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.
  4. Sanjeev Goyal & Marco van der Leij & José Luis Moraga Gonzales, 2004. "Economics: An Emerging Small World?," CESifo Working Paper Series 1287, CESifo Group Munich.
  5. 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.
  6. 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.
  7. George Ehrhardt & Matteo Marsili & Fernando Vega-Redondo, 2008. "Networks Emerging in a Volatile World," Economics Working Papers ECO2008/08, European University Institute.
  8. Jackson, Matthew O., 1998. "The Evolution of Social and Economic Networks," Working Papers 1044, California Institute of Technology, Division of the Humanities and Social Sciences.
  9. 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.
  10. Banerjee, Abhijit & Chandrasekhar, Arun G & Duflo, Esther & Jackson, Matthew O., 2012. "The Diffusion of Microfinance," CEPR Discussion Papers 8770, C.E.P.R. Discussion Papers.
  11. Matthew O. Jackson & Asher Wolinsky, 1994. "A Strategic Model of Social and Economic Networks," Discussion Papers 1098, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  12. 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.
  13. 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.
  14. Baker, George P. & Gibbons, Robert & Murphy, Kevin J., 2008. "Strategic alliances: Bridges between "islands of conscious power"," Journal of the Japanese and International Economies, Elsevier, vol. 22(2), pages 146-163, June.
  15. 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.
  16. M. Koenig & Claudio J. Tessone & Yves Zenou, . "A Dynamic Model of Network Formation with Strategic Interactions," Working Papers CCSS-09-006, ETH Zurich, Chair of Systems Design.
  17. Konishi, Hideo & Ray, Debraj, 2003. "Coalition formation as a dynamic process," Journal of Economic Theory, Elsevier, vol. 110(1), pages 1-41, May.
  18. Venkatesh Bala & Sanjeev Goyal, 2000. "A Noncooperative Model of Network Formation," Econometrica, Econometric Society, vol. 68(5), pages 1181-1230, September.
  19. Cabrales, Antonio & Calvó-Armengol, Antoni & Zenou, Yves, 2010. "Social Interactions and Spillovers," CEPR Discussion Papers 8127, C.E.P.R. Discussion Papers.
  20. 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.
  21. Jackson, Matthew O. & Watts, Alison, 2002. "On the formation of interaction networks in social coordination games," Games and Economic Behavior, Elsevier, vol. 41(2), pages 265-291, November.
  22. Soramäki, Kimmo & Bech, Morten L. & Arnold, Jeffrey & Glass, Robert J. & Beyeler, Walter E., 2007. "The topology of interbank payment flows," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(1), pages 317-333.
  23. 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.
  24. Calvó-Armengol, Antoni & Patacchini, Eleonora & Zenou, Yves, 2008. "Peer Effects and Social Networks in Education," IZA Discussion Papers 3859, Institute for the Study of Labor (IZA).
  25. Bhaskar Dutta & Sayantan Ghosal & Debraj Ray, 2004. "Farsighted Network Formation," Working papers 122, Centre for Development Economics, Delhi School of Economics.
  26. Sanjeev Goyal & Fernando Vega-Redondo, 2003. "Network Formation and Social Coordination," Working Papers 481, Queen Mary University of London, School of Economics and Finance.
  27. 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.
  28. 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.
  29. Anna Larsson Seim & Anders Akerman, 2012. "The Global Arms Trade Network 1950-2007," DEGIT Conference Papers c017_055, DEGIT, Dynamics, Economic Growth, and International Trade.
  30. Feri, Francesco, 2007. "Stochastic stability in networks with decay," Journal of Economic Theory, Elsevier, vol. 135(1), pages 442-457, July.
  31. 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.
  32. 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.
  33. Àlex Arenas & Antonio Cabrales & Albert Díaz-Guilera & Roger Guimerà & Fernando Vega, 2003. "Optimal information transmission in organizations: Search and congestion," Economics Working Papers 698, Department of Economics and Business, Universitat Pompeu Fabra.
  34. 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.
  35. Glenn Ellison, 2000. "Basins of Attraction, Long-Run Stochastic Stability, and the Speed of Step-by-Step Evolution," Review of Economic Studies, Oxford University Press, vol. 67(1), pages 17-45.
  36. Liu, Xiaodong & Patacchini, Eleonora & Zenou, Yves & Lee, Lung-Fei, 2011. "Criminal Networks: Who is the Key Player?," Research Papers in Economics 2011:7, Stockholm University, Department of Economics.
  37. 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.
  38. Javier A. Reyes & Camelia Minoiu, 2011. "A network analysis of global banking: 1978–2009," IMF Working Papers 11/74, International Monetary Fund.
  39. Vega-Redondo,Fernando, 2007. "Complex Social Networks," Cambridge Books, Cambridge University Press, number 9780521857406, 1.
  40. Gert Sabidussi, 1966. "The centrality index of a graph," Psychometrika, Springer, vol. 31(4), pages 581-603, December.
  41. Luca De Benedictis & Lucia Tajoli, 2009. "The World Trade Network," Working Papers 51-2009, Macerata University, Department of Finance and Economic Sciences, revised Mar 2009.
  42. Sumit Joshi, 2000. "Networks of Collaboration in Oligopoly," Econometric Society World Congress 2000 Contributed Papers 0623, Econometric Society.
  43. repec:oup:restud:v:67:y:2000:i:1:p:17-45 is not listed on IDEAS
  44. 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.
  45. Watts, Alison, 2001. "A Dynamic Model of Network Formation," Games and Economic Behavior, Elsevier, vol. 34(2), pages 331-341, February.
  46. 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.
  47. Mathias Staudigl, 2010. "Potential games in volatile environments," Vienna Economics Papers 1002, University of Vienna, Department of Economics.
  48. 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.
  49. N. Lesca, 2010. "Introduction," Post-Print halshs-00640602, HAL.
  50. Lawrence E. Blume, 1994. "How Noise Matters," Game Theory and Information 9407002, EconWPA, revised 27 Jul 1994.
  51. Bramoulle, Yann & Kranton, Rachel, 2007. "Public goods in networks," Journal of Economic Theory, Elsevier, vol. 135(1), pages 478-494, July.
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