Random digraphs with given expected degree sequences: A model for economic networks

Journal of Economic Behavior and Organization

Volumn 78, Issue 3, 2011, Pages 396-411

  Bargigli, Leonardo ^a   Gallegati, Mauro ^a  

^a UNIVERSITÀ POLITECNICA DELLE MARCHE   (Italy)

Author keywords

Community structure of networks; Complex networks; Credit networks; Diversification; Expected degree model; Modularity

Indexed keywords

EID: 79955868113     PISSN: 01672681     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jebo.2011.01.022     Document Type: Article

References (38)

1. Allen, F., Babus, A., Carletti, E., 2010. Financial connections and systemic risk. NBER Working Papers 16177, July.
2. Allen F., Gale D. Financial contagion. Journal of Political Economy 2000, 108(1):1-33.
3. Arenas A., Duch J., Fernández A., Gómez S. Size reduction of complex networks preserving modularity. New Journal of Physics 2007, 9(6):176.
4. Battiston, S., Delli Gatti, D., Gallegati, M., Greenwald, B.C., Stiglitz, J.E., 2009. Liaisons dangereuses: Increasing connectivity, risk sharing, and systemic risk. Working Paper 15611, National Bureau of Economic Research, January.
5. Brunnermeier M.K. Deciphering the liquidity and credit crunch 2007-2008. Journal of Economic Perspectives 2009, 23(1):77-100. Winter.
6. Butler S. Relating singular values and discrepancy of weighted directed graphs. SODA'06: Proceedings of the Seventeenth Annual ACM-SIAM Symposium on Discrete Algorithm 2006, 1112-1116.
7. Castrén, O., Kavonius, I.K., 2009. Balance Sheet Interlinkages and Macro-financial Risk Analysis in the Euro Area. Working Paper Series 1124, European Central Bank, December.
8. Censor Y., Zenios S.A. Parallel Optimization: Theory, Algorithms, and Applications 1997, Oxford University Press, New York.
9. Chernoff H. A note on an inequality involving the normal distribution. Annals of Probability 1981, 9:533-535.
10. Chung, F., 2006. Complex Graphs and Networks. Conference Board of the Mathematical Sciences. Regional Conference Series in Mathematics, 107.
11. Chung F., Lu L. The average distances in random graphs with given expected degrees. Proceedings of the National Academy of Science of the United States of America 2002, 99(December (25)):15879-15882.
12. Chung F., Lu L. Connected components in random graphs with given expected degree sequences. Annals of Combinatorics 2002, 6:125-145.
13. Chung F., Lu L. Concentration inequalities and martingale inequalities: a survey. Internet Mathematics 2006, 3(1):79-127.
14. Chung F., Lu L., Vu V. Eigenvalues of random power law graphs. Annals of Combinatorics 2003, 7:21-33.
15. Chung F., Lu L., Vu V. Spectra of random graphs with given expected degrees. Proceedings of the National Academy of Science of the United States of America 2003, 100(May (11)):6313-6318.
16. Chung F. Spectral Graph Theory. Conference Board of the Mathematical Sciences. Regional Conference Series in Mathematics, 92 1997.
17. De Masi, G., Fujiwara, Y., Gallegati, M., Greenwald, B.C., Stiglitz, J.E., 2009. An analysis of the Japanese credit network. Quantitative Finance Papers 0901.2384, arXiv.org.
18. Donetti L., Muñoz M.A. AIP Conference Proceedings 2005, 779(July):104-107.
19. Eisenberg L., Noe T.H. Systemic risk in financial systems. Management Science 2001, 47(2):236-249.
20. European Central Bank, 2010. Recent Advances in Modeling Systemic Risk Using Network Analysis, Frankfurt am Main, January.
21. Fortunato S. Community detection in graphs. Physics Reports 2010, 486(3-5):75-174.
22. Fujiwara Y., Aoyama H. Large-scale structure of a nation-wide production network. The European Physical Journal B 2008, 77(4):565-580.
23. Fujiwara Y., Aoyama H., Ikeda Y., Iyetomi H., Wataru S. Structure and temporal change of the credit network between banks and large firms in Japan. Economics e-journal 2009, 3(7).
24. Gai P., Kapadia S. Contagion in financial networks. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science 2010, 466(2120):2401-2423.
25. Garlaschelli D., Loffredo M.I. Maximum likelihood: Extracting unbiased information from complex networks. Physical Review E 2008 July, 78(1):015101.
26. Garlaschelli D., Loffredo M.I. Generalized bose-fermi statistics and structural correlations in weighted networks. Physical Review Letters 2009 January, 102(3):038701.
27. Handbook of Linear Algebra 2007, Chapman & Hall/CRC, Boca Raton. L. Hogben (Ed.).
28. Kapadia S., Mora N., Puhr C., Alessandri P., Gai P. Towards a framework of quantifying systemic stability. International Journal of Central Banking 2009 September, 5(3):47-81.
29. Mitrović M., Tadić B. Spectral and dynamical properties in classes of sparse networks with mesoscopic inhomogeneities. Physical Review E 2009, 80(August (2)):026123.
30. Newman M.E.J. Finding community structure in networks using the eigenvectors of matrices. Physical Review E 2006, 74:036104.
31. Newman M.E.J., Girvan M. Finding and evaluating community structure in networks. Physical Review E 2004, 69(February (2)):026113.
32. Rothblum U.G., Tan C.P. Upper bounds on the maximum modulus of subdominant eigenvalues of nonnegative matrices. Linear Algebra and its Applications 1985, 66:45-86.
33. Selee T.M., Ipsen I.C.F. Ergodicity coefficients defined by vector norms 2010, Mimeo.
34. Seneta E. Explicit forms for ergodicity coefficients and spectrum localization. Linear Algebra and its Applications 1984, 60:187-197.
35. Shin H.S. Risk and liquidity in a system context. Journal of Financial Intermediation 2008, 17(3):315-329.
36. Greenwald B.C., Stiglitz J.E. Towards a New Paradigm in Monetary Economics 2003, Cambridge University Press, Cambridge.
37. Vega-Redondo F. Complex Social Networks 2007, Cambridge University Press, Cambridge.
38. Wells, S., 2004. Financial inter-linkages in the united kingdom's interbank market and the risk of contagion. Bank of England Working Papers 230, Bank of England, September.