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To get <math>\rho\;</math> constant there must be a constant elasticity of demand. There are two possibilities:
*<math>P(X) = \alpha + \beta X ^\gamma\;</math>, which has an elasticity of <math>\epsilon = \gamma - 1\;</math>.
*<math>P(X) = \alpha +\beta \ln X\;</math>, which elasticity of <math>\epsilon = - 1\;</math>.
There are further specific examples in the paper, including Cournot competition.
 
===Imperfect Substitutes===
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