Competition for Popularity in Bipartite Networks

Details Competition for Popularity in Bipartite Networks Competition for Popularity in Bipartite Networks

2009-06-25

arxiv.org/abs/0906.4675v2

Physics

Physics and Society

13 Pages, 19 Figures

Scientific paper

10.1063/1.3475411

We present a dynamical model for rewiring and attachment in bipartite networks in which edges are added between nodes that belong to catalogs that can either be fixed in size or growing in size. The model is motivated by an empirical study of data from the video rental service Netflix, which invites its users to give ratings to the videos available in its catalog. We find that the distribution of the number of ratings given by users and that of the number of ratings received by videos both follow a power law with an exponential cutoff. We also examine the activity patterns of Netflix users and find bursts of intense video-rating activity followed by long periods of inactivity. We derive ordinary differential equations to model the acquisition of edges by the nodes over time and obtain the corresponding time-dependent degree distributions. We then compare our results with the Netflix data and find good agreement. We conclude with a discussion of how catalog models can be used to study systems in which agents are forced to choose, rate, or prioritize their interactions from a very large set of options.

Affiliated with

Also associated with

No associations

Rating

Competition for Popularity in Bipartite Networks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Competition for Popularity in Bipartite Networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Competition for Popularity in Bipartite Networks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-537371