(1) School of Management, University of Texas at Dallas, Richardson, TX, USA;(2) Belk College of Business, University of North Carolina at Charlotte, Charlotte, NC, USA
Abstract:
A model of new-product adoption is proposed that incorporates price and advertising effects. An optimal control problem that
uses the model as its dynamics is solved explicitly to obtain the optimal price and advertising effort over time. The model
has a great potential to be used in obtaining solutions and insights in a variety of differential game settings.
The authors thank Anshuman Chutani for help with the figures.