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In this book, we study brand choice problem via the following three perspectives: a company`s market share management, introduction of customers with different perspectives, and an analysis of an application domain which is illustrative of these issues. Our contributions following these perspectives include: (1) development of a stochastic differential-jump game (SDJG) model forbrand competition in a specific situation wherein market share is modeled by a jump-diffusion process, (2) a robust hierarchical logit/probit model for market heterogeneity, and (3) applications of logit/probit model to the dynamic pricing problem occurring inproduction-inventory systems with jump events. Our researchexplores the use of quantitative method of operations research tocontrol the dynamics of market share and provides a precise estimation method to integrate more detail information in discrete brand choice models.
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