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Co-Evolutive Models for Firms Dynamics

In: Networks, Topology and Dynamics

Author

Listed:
  • Giulia Rotundo

    (University of Tuscia)

  • Andrea Scozzari

    (University of Rome “La Sapienza”)

Abstract

This paper considers the Bak—Sneppen (B&S) Self-Organized Criticality model originally developed for species co-evolution. We focus both on the original application of the model on a lattice, and on scale-free networks. Stylized facts on firms size distribution are also considered for the application of the model to the analysis of firms size dynamics. Thus, the B&S dynamics under the uniform, Normal, lognormal, Pareto, and Weibull distributions is studied. The original model is also extended by introducing weights on links connecting species, and examining the topology of the resulting Minimum Spanning Tree (MST) of the underlying network. In a system of firms a MST may evidence the template of the strongest interactions among firms. Conditions that lead to particular configurations of a MST are investigated.

Suggested Citation

  • Giulia Rotundo & Andrea Scozzari, 2009. "Co-Evolutive Models for Firms Dynamics," Lecture Notes in Economics and Mathematical Systems, in: Ahmad K. Naimzada & Silvana Stefani & Anna Torriero (ed.), Networks, Topology and Dynamics, pages 143-158, Springer.
  • Handle: RePEc:spr:lnechp:978-3-540-68409-1_7
    DOI: 10.1007/978-3-540-68409-1_7
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    Cited by:

    1. Bahrami, Mohammad & Chinichian, Narges & Hosseiny, Ali & Jafari, Gholamreza & Ausloos, Marcel, 2020. "Optimization of the post-crisis recovery plans in scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    2. Marcel Ausloos & Herbert Dawid & Ugo Merlone, 2015. "Spatial Interactions in Agent-Based Modeling," Dynamic Modeling and Econometrics in Economics and Finance, in: Pasquale Commendatore & Saime Kayam & Ingrid Kubin (ed.), Complexity and Geographical Economics, edition 127, pages 353-377, Springer.
    3. Manavi, Seyed Alireza & Jafari, Gholamreza & Rouhani, Shahin & Ausloos, Marcel, 2020. "Demythifying the belief in cryptocurrencies decentralized aspects. A study of cryptocurrencies time cross-correlations with common currencies, commodities and financial indices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 556(C).

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