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Explicit formulae of distributions and densities of characteristics of a dynamic advertising and pricing model

Kurt L. Helmes, Torsten Templin (2015)

Banach Center Publications

We analyze the optimal sales process of a stochastic advertising and pricing model with constant demand elasticities. We derive explicit formulae of the densities of the (optimal) sales times and (optimal) prices when a fixed finite number of units of a product are to be sold during a finite sales period or an infinite one. Furthermore, for any time t the exact distribution of the inventory, i.e. the number of unsold items, at t is determined and will be expressed in terms of elementary functions....

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