To simplify our discussion about a store's price response, we
develop an overall measure of the store's response to proportional
price movements (i.e., the category elasticity). (See also Hoch et
al. 1995.) The motivation of the category elasticity is to measure
the effect on movement of a 1% increase (or decrease) of all the
prices in the category. Our primary purpose is to construct a summary
measure for labeling each store as price sensitive or insensitive.
Formally the category elasticity is:
Where is the total category movement,
is the vector of movement market shares, is the cross
elasticity matrix evaluated at the average price for store s, and
is a vector of ones.
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