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From Innovation to Diversification: A Simple Competitive Model
Authors:Fabio Saracco  Riccardo Di Clemente  Andrea Gabrielli  Luciano Pietronero
Institution:1Istituto dei Sistemi Complessi - ISC CNR UoS “Sapienza” Physics Department Università di Roma, P.le Aldo Moro 5, 00185, Rome, Italy;2IMT Institute for Advanced Studies Lucca, Piazza S. Ponziano 6, 55100, Lucca, Italy;3Sapienza, Università di Roma, Piazzale A. Moro 5, 00185, Rome, Italy;4London Institute for Mathematical Sciences, 35a South St, Mayfair, London, United Kingdom;University of Warwick, UNITED KINGDOM
Abstract:Few attempts have been proposed in order to describe the statistical features and historical evolution of the export bipartite matrix countries/products. An important standpoint is the introduction of a products network, namely a hierarchical forest of products that models the formation and the evolution of commodities. In the present article, we propose a simple dynamical model where countries compete with each other to acquire the ability to produce and export new products. Countries will have two possibilities to expand their export: innovating, i.e. introducing new goods, namely new nodes in the product networks, or copying the productive process of others, i.e. occupying a node already present in the same network. In this way, the topology of the products network and the country-product matrix evolve simultaneously, driven by the countries push toward innovation.
Keywords:
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