Modeling innovation by a kinetic description of the patent citation system
| dc.creator | Csardi, Gabor | |
| dc.creator | Strandburg, Katherine J | |
| dc.creator | Zalanyi, Laszlo | |
| dc.creator | Tobochnik, Jan | |
| dc.creator | Erdi, Peter | |
| dc.date | 2005-08-18 | |
| dc.date.accessioned | 2026-07-07T05:55:42Z | |
| dc.date.available | 2026-07-07T05:55:42Z | |
| dc.description | This paper reports results of a network theory approach to the study of the United States patent system. We model the patent citation network as a discrete time, discrete space stochastic dynamic system. From data on more than 2 million patents and their citations, we extract an attractiveness function, $A(k,l)$, which determines the likelihood that a patent will be cited. $A(k,l)$ is approximately separable into a product of a function $A_k(k)$ and a function $A_l(l)$, where $k$ is the number of citations already received (in-degree) and $l$ is the age measured in patent number units. $A_l(l)$ displays a peak at low $l$ and a long power law tail, suggesting that some patented technologies have very long-term effects. $A_k(k)$ exhibits super-linear preferential attachment. The preferential attachment exponent has been increasing since 1991, suggesting that patent citations are increasingly concentrated on a relatively small number of patents. The overall average probability that a new patent will be cited by a given patent has increased slightly during the same period. We discuss some possible implications of our results for patent policy. | |
| dc.description | 8 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/physics/0508132 | |
| dc.identifier | http://arxiv.org/abs/physics/0508132 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/87337 | |
| dc.subject | Physics and Society | |
| dc.title | Modeling innovation by a kinetic description of the patent citation system | |
| dc.type | text |