2015/11/23 by Jan Arild Audestad, Audestad, Jan A.
Decision Sciences · Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #FOS: Economics and business #General Economics (econ.GN) #Innovation Diffusion and Forecasting #Opinion Dynamics and Social Influence
paper · pdf · doi:10.48550/arxiv.1511.07203
openalex publication_date 2015/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
In this text, we study the temporal behavior of markets using models expressible as ordinary differential equations. The markets studied are those where each customer buys only one copy of the good, for example, subscription of smartphone service, journals and newspapers, and goods such as books, music and games. The underlying model is the diffusion model of Frank Bass. Evolution of markets with no competitors and markets with several competitors are analyzed where, in particulat, the effects of churning upon the market evolution is investigated. Analytic solutions are given for the temporal evolution of several types of interactive games.