In this paper we study the problem of optimal advertising expenditure in a dynamic duopoly. Non-price competition represents a crucial aspect of interfirm rivalry, and in some markets advertising may be considered as one of the most important competitive tools. An important feature of our model...

This paper surveys dynamic models in the field of advertising. After a brief introduction to the differential game theory some sales-advertising response models are described. These models are organised under five headings: Vidale-Wolfe generalisations, Lanchester-type models, Leitmann models,...