We study the problem of advertising a social event in a segmented market using different media. The result of such advertising process is the evolution of a goodwill vector. We describe the problem as an optimal control one, assuming that the demand is a concave function of goodwill. We prove the existence of an optimal solution and characterize it using the Pontryagin Maximum Principle. This leads to the analysis of a family of linear programming problems. We provide a more explicit and detailed description of optimal solutions for the case of goodwill linear demand.

Advertising a social event in a heterogeneous market

FAVARETTO, Daniela;
2016-01-01

Abstract

We study the problem of advertising a social event in a segmented market using different media. The result of such advertising process is the evolution of a goodwill vector. We describe the problem as an optimal control one, assuming that the demand is a concave function of goodwill. We prove the existence of an optimal solution and characterize it using the Pontryagin Maximum Principle. This leads to the analysis of a family of linear programming problems. We provide a more explicit and detailed description of optimal solutions for the case of goodwill linear demand.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10278/3673403
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