Innovation diffusion uncertainty, advertising and pricing policies (Q1767710)
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scientific article; zbMATH DE number 2142274
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Innovation diffusion uncertainty, advertising and pricing policies |
scientific article; zbMATH DE number 2142274 |
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Innovation diffusion uncertainty, advertising and pricing policies (English)
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8 March 2005
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Maximization over time of the value of innovation for a monopolistic firm is formulated as a stochastic control problem. The market consists of several sectors, transitions among them are modeled as Wiener processes and are influenced by price, advertisement, etc. Advertising and pricing policies are positive real-valued adapted processes. The maximum is obtained by solving a Bellman equation. Under special assumptions, closed-form optimal advertising and/or pricing policies are derived. The model performance is illustrated by simulations.
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stochastic dynamic programming
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optimal policies
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diffusion dynamics
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