Mathematical Model for Hit Phenomena

Details Mathematical Model for Hit Phenomena Mathematical Model for Hit Phenomena

2010-02-24

arxiv.org/abs/1002.4460v2

Proceedings of Econophysics Colloquium 2010

Physics

Physics and Society

13pages 9 figures Former version is updated with improvement of graphic files

Scientific paper

The mathematical model for hit phenomena in entertainments is presented as a nonlinear, dynamical and non-equilibrium phenomena. The purchase intention for each person is introduced and direct and indirect communications are expressed as two-body and three-body interaction in our model. The mathematical model is expressed as coupled nonlinear differential equations. The important factor in the model is the decay time of rumor for the hit. The calculated results agree very well with revenues of recent 25 movies.

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