Infinite-Horizon Optimal Advertising in a Market for Durable Goods

In this paper we analyse the optimal infinite-horizon advertising policy of a monopolist firm in a market for durable goods, based on classic models by Vidale–Wolfe (Oper. Res. 1957; 5(3):370–381) and Nerlove–Arrow (Economica 1962; 29 (114):129–142). A set of necessary conditions for optimality generalizing previous results is provided for the resulting non-convex system. In addition, we establish local (and in some cases global) asymptotic convergence of an optimal trajectory towards the unique optimal steady state.


Published in:
Optimal Control Applications and Methods, 26, 6, 307-336
Year:
2005
Publisher:
Wiley-Blackwell
ISSN:
0143-2087
Keywords:
Laboratories:




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