Question

In: Economics

Which functional form the Lerner Index adopts? Transfer the Lerner Index to the Amoroso Robinson relation!

Which functional form the Lerner Index adopts?

Transfer the Lerner Index to the Amoroso Robinson relation!

Solutions

Expert Solution

Given by Abba Lerner in the year 1934. It talks about the market power of the firm. It is a relationship between the elasticitiies and the price margins of the firm. It takes the following functional form:

L=P-MC/P

where P is the price,MC is the marginal curve

Since it talks about elasticities, it cannot be more than 1 and the absolute value cannot be less than 1.It tells us which firms will operate on the elastic part of the demand curve.

The Amoroso–Robinson relation is the relationship which is given by Luigi Amoroso and Joan Robinson. It states a relationship between price,marginal cost and the elasticity. The relationship is similar to that of the Lerner's index given by Abba Lerner.

ДR/Дx = p(1+1/Ex,p)

where

  • ДR/Дx is the marginal revenue,
  • x is the particular good,
  • p is the price of the good
  • Ex,p is the price elasticity of demand.

The relationship between the 2 can be seen from the formula directly.


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