arXiv:1002.4460v2 [physics.soc-ph] 30 Aug 2010 1 Mathematical Model of Hit Phenomena Takeshi Nakagawa Dentsu Inc., 1 -8-1, Higashi-shimbashi, Minato-ku, Tokyo 105-7001, Japan Hisashi Arakaki, Narihiko Yoshida Digital Hollywood University, DH2001 Bldg. 2-3 Surugadai, Kanda, Chiyoda-ku, Tokyo, 101-0062 The mathematical model for hit phenomena in entertainments is presented as a nonlinear, dy- namical 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: mathematical model, blog, movie, hit, advertisement Abstract Akira Ishii, Sanae Umemura, Takefumi Hayashi, Naoya Matsuda ∗ Department of Applied Mathematics and Physics, Tottori University, Koyama, Tottori 680-8552, Japan