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A differential game theoretic model for duopolistic competition on design quality. (English) Zbl 0895.90033

Summary: We propose a differential game theoretic model to analyze the design quality and pricing decisions for a product over the product life cycle. The market is represented as a duopoly where our product competes against a similar product marketed by our competition. The duopolistic competition is modeled as a two-player nonzero sum noncooperative game. The resulting control theoretic model is solved under certain functional assumptions to describe the Nash equilibrium strategies of the two competitors. Finally, observations made on an extensive set of numerical experimentations over a variety of model parameters are summarized into a set of relevant managerial guidelines on developing design quality and pricing strategies.

MSC:

91B24 Microeconomic theory (price theory and economic markets)
93C95 Application models in control theory
91B62 Economic growth models
91A40 Other game-theoretic models
91A23 Differential games (aspects of game theory)
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