Diffusion of two brands in competition: Cross-brand effect

Authored by C. E. Laciana, G. Gual, D. Kalmus, N. Oteiza-Aguirre, S. L. Rovere

Date Published: 2014-11-01

DOI: 10.1016/j.physa.2014.06.019

Sponsors: University of Buenos Aires United States National Science Foundation (NSF)

Platforms: Mathematica

Model Documentation: Other Narrative Mathematical description

Model Code URLs: Model code not found

Abstract

We study the equilibrium points of a system of equations corresponding to a Bass based model that describes the diffusion of two brands in competition. To increase the understanding of the effects of the cross-brand parameters, we perform a sensitivity analysis. Finally, we show a comparison with an agent-based model inspired in the Potts model. Conclusions include that both models give the same diffusion curves only when the cross coefficients are not null. (C) 2014 Elsevier B.V. All rights reserved.

Tags

Cross-brand effect Equilibrium points Models comparison Potts model Product competition