The marketing problem of determining the optimal timing of advertising expenditures over a finite planning horizon in a duopoly conflict situation is portrayed as a non-zero-sum differential game. Advertising expenditures are determined which optimize multiobjective performance indices in a Nash equilibrium sense. The dynamics of the market are described by utilizing an extension of the Vidale-Wolfe model of the sales response to advertising. A numerical algorithm is used to solve the model.
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Kenneth R. Deal (1979) studied this question.
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