Computer Science > Computer Science and Game Theory
[Submitted on 29 Oct 2019 (v1), last revised 4 Jan 2021 (this version, v3)]
Title:A Game-theoretical Approach to Analyze Film Release Time
View PDFAbstract:Film release dates play an important part in box office revenues because of the facts of obvious seasonality demand in the film industry and severe competition among films shown at the same time. In this paper, we study how film studios choose release time for movies they produce to maximize their box offices. We first formalize this problem as an attraction competition game where players (film studios) consider both potential profits and competitors' choices when deciding the release time. Then we prove that there always exists a pure Nash equilibrium and give the sufficient condition of the uniqueness of the Nash equilibrium. Our model can be generalized to an extensive game and we compute the subgame-perfect equilibrium for homogeneous players. For the case that one film studio could have multiple movies to release, we prove that finding a player's best response is NP-hard and it does not guarantee the existence of a pure Nash equilibrium. Experiments are provided to support the soundness of our model. In the final state, most of film studios, accounting for 84 percent of the market, would not change their release time. The behaviors of film studios imply they are following some strategies to reach a Nash equilibrium.
Submission history
From: Mengjing Chen [view email][v1] Tue, 29 Oct 2019 05:53:20 UTC (421 KB)
[v2] Tue, 1 Sep 2020 02:27:19 UTC (422 KB)
[v3] Mon, 4 Jan 2021 05:46:42 UTC (422 KB)
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