Elasticity (Economics)

In economics, elasticity is the ratio of the incremental percentage change in one variable with respect to an incremental percentage change in another variable. Elasticity is usually expressed as a positive number (i.e., an absolute value) when the sign is already clear from context.

Generalised cases

Keeping in mind the example of price elasticity of demand, these figures show x=Q horizontal and y=P vertical. Figure 1: Illustrations of Perfect Elasticity and Perfect Inelasticity. Generalised cases of elasticity are frequently used in discussions that characterise circumstances for which detailed information is not available and/or irrelevant to the discussion. There are five such cases of elasticity.
  • E = 0 Perfectly inelastic. This special case of elasticity is represented in the figure to the right above. Any change in P will have no effect on Q.
  • E < 1 Inelastic. The proportional change in Q is less than the proportional change in P.
  • E = 1 Unit elasticity. The proportional change in one variable is equal to the proportional change in another variable.
  • E > 1 Elastic. The proportional change in Q is greater than the proportional change in P.
  • E = infinity Perfectly elastic. This special case of elasticity is represented in the figure to the left above. Change in P is zero, so elasticity is infinite.

Mathematical definition

The general formula for elasticity (the "y-elasticity of x") is: E_{x,y} = \frac
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