Regression Models for Market-Shares

On the background of a data set of weekly sales and prices for three brands of coffee, this paper discusses various regression models and their relation to the multiplicative competitve-interaction model for market-shares.
  

Regression models for market-shares

Kristina Birch,Tue Tjur and Jørgen Kai OlsenCopenhagen Business School

1. DETERMINISTIC MODELS

1.1. The Simple Model

Let b = 1,...,B denote the brands of a given fmcg. In our example, the fmcg is coffee. Let Qb denote the sales of brand b in a given short period (a week, say) in some welldefined area (e.g. a city or a state), and let pb denote the (average) price of the brand bduring that period. Conceptually, our...

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