Complex Sciences. Second International Conference, COMPLEX 2012, Santa Fe, NM, USA, December 5-7, 2012, Revised Selected Papers

Research Article

Mathematical Model of Hit Phenomena as a Theory for Human Interaction in the Society

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  • @INPROCEEDINGS{10.1007/978-3-319-03473-7_14,
        author={Akira Ishii and Hidehiko Koguchi and Koki Uchiyama},
        title={Mathematical Model of Hit Phenomena as a Theory for Human Interaction in the Society},
        proceedings={Complex Sciences. Second International Conference, COMPLEX 2012, Santa Fe, NM, USA, December 5-7, 2012, Revised Selected Papers},
        proceedings_a={COMPLEX},
        year={2013},
        month={11},
        keywords={Hit phenomena stochastic process movie},
        doi={10.1007/978-3-319-03473-7_14}
    }
    
  • Akira Ishii
    Hidehiko Koguchi
    Koki Uchiyama
    Year: 2013
    Mathematical Model of Hit Phenomena as a Theory for Human Interaction in the Society
    COMPLEX
    Springer
    DOI: 10.1007/978-3-319-03473-7_14
Akira Ishii1,*, Hidehiko Koguchi, Koki Uchiyama2
  • 1: Tottori University
  • 2: Hottolink
*Contact email: ishii@damp.tottori-u.ac.jp

Abstract

A mathematical model for the hit phenomenon in entertainment within a society is presented as a stochastic process of interactions of human dynamics. The model uses only the time distribution of advertisement budget as an input, and word-of-mouth (WOM) represented by posts on social network systems is used as data to compare with the calculated results. The unit of time is a day. The calculations for the Japanese motion picture market based on to the mathematical model agree very well with the actual residue distribution in time.