# Cannibalization — Market Response Modelling

#### Exhibit 20.12   Cannibalization: Source of gains and loss.

In a competitive environment, the demand for a product is not only a function of what the product has to offer, but also a function of what competitors’ products have to offer. The source of an item’s gains and losses, as depicted in Exhibit 20.12, are largely the result of consumers shifting volume to and from other items, including those items belonging to the same brand.

When a product drops price, increases advertising, improves product quality or expands distribution, it cannibalizes competing products. Cross elasticity of demand is the measure for these competitive effects. It determines the responsiveness in the sales of one product when a change in marketing effort takes place in a competing product.

### Cross Price Elasticity, Cross Discount Elasticity

#### Exhibit 20.13   Discount elasticity and cross discount elasticity.

When evaluating the impact of marketing efforts, it is important not only to consider the elasticity of demand, but also the cross elasticity of demand. Manufacturers do not want to drive initiatives if they merely cannibalize their own brands.

Cross price elasticity (cross discount elasticity) is a measure of the responsiveness of sales quantity of a product to a (temporary) change in price of another product:

$$\epsilon_{A,B}=\frac{\%\,change\,in\,quantity\,of\,product\,A}{\%\,change\,in\,price\,of\,product\,B} = \frac{dQ_A/Q_A}{dP_B/P_B} = \frac{P_B}{Q_A} \frac{dQ_A}{dP_B}$$

Exhibit 20.13 depicts a cross discount elasticity analysis. It tells us that a 10% discount in the price of item Red 250 gm will result in a 36% drop in the sales volume of item Green 250 gm.

Note that Red 250 gm also cannibalizes Red 500 gm. On the other hand when Red 500 gm is promoted, it does not cannibalize Red 250 gm. Instead it steals share from Blue 250 gm and Yellow 250 gm. The manufacturer of Red should therefore consider promoting Red 500 gm more often than Red 250 gm.

From the retail chain’s perspective, it is beneficial to frequently promote Yellow 250 gm. Since the brand does not cannibalize other items, category sales, within the chain, will increase when it is promoted.

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### Market Mix Modelling - Solutions

Solutions for market mix modelling.