2004/04/04 by Armando Barrañón, Barrañón, Armando
Decision Sciences · Economics, Econometrics and Finance · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #Complex Systems and Time Series Analysis #FOS: Physical sciences #Innovation Diffusion and Forecasting #Opinion Dynamics and Social Influence #nlin.AO
paper · pdf · doi:10.48550/arxiv.nlin/0404009
Contributed paper for the National Congress of the Mexican Mathematical Society held at Univ. de Hidalgo, Pachuca, Mexico, 14-17 Oct. (2003). 10 pages, 3 figures
arxiv created 2004/04/04 · openalex publication_date 2004/04/04 · arxiv updated 2016/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A simulation of new product market penetration in a social environment is performed, using a spintronic model, where each element of a 3D network interacts with its first neighbors. Agents are assumed to be rational, with a perfect market foresight. Unitary production cost decreases when consumption is increased. Simulations indicate that social interaction is the most important factor for new product market penetration as compared to the consumer readiness to pay a higher price. Besides the critical exponent of the nucleation of new consumers is computed, signing a phase transition characterized by the build up of new consumers intermediate clusters and this critical exponent is compared to others belonging to several critical phenomena.