Optimal advertising with a continuum of goods

被引:14
|
作者
Barucci, EB
Gozzi, FG
机构
[1] Univ Florence, DIMADEFAS, I-50134 Florence, Italy
[2] Univ Pisa, Dipartimento Matemat, I-56127 Pisa, Italy
关键词
optimal advertising; infinite dimension; infinite horizon; optimal control;
D O I
10.1023/A:1018922128062
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
In this paper, we present a model of optimal advertising with a continuum of goods differentiated by their vintage. The model is an infinite horizon/infinite dimensional optimal control model and the firm advertises a continuum of goods. We prove that the goodwill of a good accumulated through advertising does not necessarily reach its maximum when it is launched onto the market: it can be a single peaked function of the good vintage.
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页码:15 / 29
页数:15
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