On singularities and black holes in combination-driven models of technological innovation networks
Mostra el registre complet Registre parcial de l'ítem
- dc.contributor.author Solé Vicente, Ricard, 1962-ca
- dc.contributor.author Amor, Daniel R.ca
- dc.contributor.author Valverde, Sergica
- dc.date.accessioned 2016-04-12T14:40:18Z
- dc.date.available 2016-04-12T14:40:18Z
- dc.date.issued 2016
- dc.description.abstract It has been suggested that innovations occur mainly by combination: the more inventions accumulate, the higher the probability that new inventions are obtained from previous designs. Additionally, it has been conjectured that the combinatorial nature of innovations naturally leads to a singularity: at some finite time, the number of innovations should diverge. Although these ideas are certainly appealing, no general models have been yet developed to test the conditions under which combinatorial technology should become explosive. Here we present a generalised model of technological evolution that takes into account two major properties: the number of previous technologies needed to create a novel one and how rapidly technology ages. Two different models of combinatorial growth are considered, involving different forms of ageing. When long-range memory is used and thus old inventions are available for novel innovations, singularities can emerge under some conditions with two phases separated by a critical boundary. If the ageing has a characteristic time scale, it is shown that no singularities will be observed. Instead, a "black hole" of old innovations appears and expands in time, making the rate of invention creation slow down into a linear regime.ca
- dc.description.sponsorship This work was supported by the Fundacion Botin and by the Spanish Ministry of Economy and Competitiveness, Grant FIS2013-44674-P and FEDER and by the Santa Fe Institute, where most of this work was done.
- dc.format.mimetype application/pdfca
- dc.identifier.citation Solé R, Amor DR, Valverde S. On singularities and black holes in combination-driven models of technological innovation networks. PLoS One. 2016;11(1): e0146180. DOI: 10.1371/journal.pone.0146180ca
- dc.identifier.doi http://dx.doi.org/10.1371/journal.pone.0146180
- dc.identifier.issn 1932-6203
- dc.identifier.uri http://hdl.handle.net/10230/26074
- dc.language.iso engca
- dc.publisher Public Library of Science (PLoS)ca
- dc.relation.ispartof PLoS One. 2016;11(1):e0146180
- dc.relation.projectID info:eu-repo/grantAgreement/ES/1PE/FIS2013-44674-P
- dc.rights © 2016 Solé et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.ca
- dc.rights.accessRights info:eu-repo/semantics/openAccessca
- dc.rights.uri http://creativecommons.org/licenses/by/4.0/ca
- dc.subject.other Biologia sintèticaca
- dc.title On singularities and black holes in combination-driven models of technological innovation networksca
- dc.type info:eu-repo/semantics/articleca
- dc.type.version info:eu-repo/semantics/publishedVersionca