CROSS-ELASTICITY
Definition
Cross-price elasticity measures the sensitivity of demand for product A to a change in the price of product B. It reflects the economic relationships between products: substitutes (Coke / Pepsi), complements (printer / cartridge), or independent items.
This is an essential concept for managing an assortment coherently and avoiding pricing decisions that negatively offset each other at the category level.
Why is this important to know?
- Avoiding cannibalization: Lowering the price of one product can undermine sales of another, as predicted by the cross-price elasticity calculation.
- Optimize promotions: promoting a product whose complements have high margins can generate a positive halo effect.
- Manage the assortment: understanding relationships between products makes it possible to structure a pricing policy at the category level, not just by individual reference.
Example
A supermarket lowers the price of a beer brand from €1.99 to €1.69 (-15%)
Sales for this beer increase by 35%
However, sales of two competing brands in the same aisle drop by 12% and 18% respectively.
Cross-elasticity is positive (substitute products)
At the category level, beer revenue grows by only 3% while the average unit margin falls by 8%
Consequently, the promotion destroys total margin.
How to leverage the halo effect in pricing?
The halo effect is a powerful lever to influence price perception without altering the entire assortment
In practice, retailers identify the most visible products for consumers (KVIs, loss leaders, bestsellers, or heavily compared references) and concentrate their efforts on these items.
By adjusting the price of a few strategic products, a retailer can improve its overall price image while preserving margins on other references.
For example, a supermarket that lowers the price of milk, pasta, and coffee—three regularly purchased and easily comparable products—can be perceived as generally cheaper overall, even if the prices of hundreds of other products remain unchanged.
Pitfalls to avoid
- Thinking product by product: optimizing each reference in isolation can destroy value at the category level.
- Ignoring non-brand substitutes: a private label can cannibalize a national brand and vice versa.
- Underestimating complements: forgetting that a price drop on pasta boosts sales of sauce, and vice versa.
FAQ
Cross-elasticity measures the impact of a price change on one product's demand upon another product's demand
It helps identify whether two references are substitutes, complements, or independent, and serves as an essential metric for optimizing pricing and assortment management decisions.
It enables retailers to anticipate the indirect effects of a price modification
A price reduction on one product may boost the sales of a complementary item or, conversely, reduce the sales of a competing product within the same category
These interactions are crucial for optimizing overall profitability rather than the margin of a single product.
A positive cross-elasticity indicates that two products are substitutes: when the price of one increases, the demand for the other rises
A negative cross-elasticity reveals complementary products: a price hike on one leads to a sales decline in the other
A value close to zero reflects minimal interaction between the two references.
Pricing teams rely on cross-elasticity to adjust prices, build promotions, limit cannibalization effects, optimize bundles, and enhance assortment consistency
This indicator is particularly useful for managing categories with numerous similar products.
Pricing solutions analyze sales history, price variations, promotions, seasonality, and purchasing behaviors to estimate relationships between products
Powered by statistical models and artificial intelligence, they can simulate the impact of a pricing change across the entire category prior to making any decisions.
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