Physics – Physics and Society
Scientific paper
2010-05-14
Phys. Rev. E Vol. 83, 016105 (2011)
Physics
Physics and Society
8 pages, 6 figures
Scientific paper
We introduce a simple model to study movie competition in the recommender systems. Movies of heterogeneous quality compete against each other through viewers' reviews and generate interesting dynamics of box-office. By assuming mean-field interactions between the competing movies, we show that run-away effect of popularity spreading is triggered by defeating the average review score, leading to hits in box-office. The average review score thus characterizes the critical movie quality necessary for transition from box-office bombs to blockbusters. The major factors affecting the critical review score are examined. By iterating the mean-field dynamical equations, we obtain qualitative agreements with simulations and real systems in the dynamical forms of box-office, revealing the significant role of competition in understanding box-office dynamics.
Cimini Giulio
Jin Ci-Hang
Yeung Chi Ho
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