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Statistical Equilibrium Models for Sparse Economic Networks

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  • Leonardo Bargigli

    (DISEI, Università degli Studi di Firenze)

Abstract

Real markets can be naturally represented as networks, and they share with other social networks the fundamental property of sparsity, whereby agents are connected by l = O (n) relationships. The exponential networks model introduced by Park and Newman can be extended in order to deal with this property. When compared with alternative statistical models of a given real network, this extended model provides a better statistical justification for the observed network values. Consequently, it provides more reliable maximum entropy estimates of partially known networks than previously known ME techniques.

Suggested Citation

  • Leonardo Bargigli, 2013. "Statistical Equilibrium Models for Sparse Economic Networks," Working Papers - Economics wp2013_25.rdf, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa.
    • Handle: RePEc:frz:wpaper:wp2013_25.rdf
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    References listed on IDEAS

    as
    1. Viaggiu, Stefano & Lionetto, Andrea & Bargigli, Leonardo & Longo, Michele, 2012. "Statistical ensembles for money and debt," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4839-4849.
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    3. Iacopo Mastromatteo & Elia Zarinelli & Matteo Marsili, 2011. "Reconstruction of financial network for robust estimation of systemic risk," Papers 1109.6210, arXiv.org, revised Feb 2012.
    4. Bargigli, Leonardo & Gallegati, Mauro, 2011. "Random digraphs with given expected degree sequences: A model for economic networks," Journal of Economic Behavior & Organization, Elsevier, vol. 78(3), pages 396-411, May.
    5. Michele Tumminello & Salvatore Miccichè & Fabrizio Lillo & Jyrki Piilo & Rosario N Mantegna, 2011. "Statistically Validated Networks in Bipartite Complex Systems," PLOS ONE, Public Library of Science, vol. 6(3), pages 1-11, March.
    6. Rossana Mastrandrea & Tiziano Squartini & Giorgio Fagiolo & Diego Garlaschelli, 2013. "Enhanced network reconstruction from irreducible local information," LEM Papers Series 2013/16, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    7. Iori, Giulia & De Masi, Giulia & Precup, Ovidiu Vasile & Gabbi, Giampaolo & Caldarelli, Guido, 2008. "A network analysis of the Italian overnight money market," Journal of Economic Dynamics and Control, Elsevier, vol. 32(1), pages 259-278, January.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    networks;

    JEL classification:

    • C49 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Other
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

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