@article{eprints2902, author = {Fabio Saracco and Riccardo Di Clemente and Andrea Gabrielli and Luciano Pietronero}, volume = {10}, pages = {e0140420}, journal = {PloS One}, title = {From Innovation to Diversification: A Simple Competitive Model}, publisher = {Public Library of Science}, number = {11}, year = {2015}, url = {http://eprints.imtlucca.it/2902/}, keywords = {Network motifs, Simulation and modeling, Economics, Economic growth}, abstract = {{\ensuremath{<}}p{\ensuremath{>}}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.{\ensuremath{<}}/p{\ensuremath{>}}} }