Abstract
We consider a Vidale-Wolfe triopoly model in the present chapter. As opposed to the analysis of the Vidale-Wolfe duopoly in chapter 4, here we do not restrict the model to a single state variable, and instead assume a separate sales state variable for each of the three competitors. The sales state variables are assumed to change across time according to the following relationships:
The objective of each competitor is to maximize discounted profit:
where h i i = 1, 2, 3, is competitor i’s contribution per unit of sale.
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© 2003 Springer Science+Business Media New York
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Erickson, G.M. (2003). Analysis of a Vidale-Wolfe Triopoly. In: Dynamic Models of Advertising Competition. International Series in Quantitative Marketing, vol 13. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1031-4_7
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DOI: https://doi.org/10.1007/978-1-4615-1031-4_7
Publisher Name: Springer, Boston, MA
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