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Technical Note—A Pure Birth Model of Optimal Advertising with Word-of-Mouth

George E. Monahan
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George E. Monahan: Washington University in St. Louis

Marketing Science, 1984, vol. 3, issue 2, 169-178

Abstract: A stochastic, dynamic model of advertising, which incorporates both advertising and word-of-mouth effects, is formulated. The time between the acquisition of new customers is assumed to be random. The distribution of the time until the firm obtains a new customer depends upon the rate of advertising expenditures and upon a word-of-mouth parameter. The problem of choosing the rate of advertising expenditures so as to maximize long-run expected profit is formulated as a continuous-time Markov decision chain. The impact of changes in various parameters of the model on optimal advertising decisions is studied.

Keywords: optimal advertising; word-of-mouth; Markov decision chain (search for similar items in EconPapers)
Date: 1984
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Citations: View citations in EconPapers (5)

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