Mathematical Model for Hit Phenomena
Physics and Society
2010-08-31 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1002.4460,
title = {Mathematical Model for Hit Phenomena},
author = {Akira Ishii and Sanae Umemura and Takefumi Hayashi and Naoya Matsuda and Takeshi Nakagawa and Hisashi Arakaki and Narihiko Yoshida},
journal= {arXiv preprint arXiv:1002.4460},
year = {2010}
}
Comments
13pages 9 figures Former version is updated with improvement of graphic files