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Consider the Utility Function u(x1,x2)=(αx1ρ+(1α)x2ρ)1/ρu \left( x _ { 1 } , x _ { 2 } \right) = \left( \alpha x _ { 1 } ^ { - \rho } + ( 1 - \alpha ) x _ { 2 } ^ { - \rho } \right) ^ { - 1 / \rho }

question 6

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Consider the utility function u(x1,x2)=(αx1ρ+(1α)x2ρ)1/ρu \left( x _ { 1 } , x _ { 2 } \right) = \left( \alpha x _ { 1 } ^ { - \rho } + ( 1 - \alpha ) x _ { 2 } ^ { - \rho } \right) ^ { - 1 / \rho } .If ρ=0\rho = 0 ,the elasticity of substitution is equal to 1.
The elasticity of substitution for CES utility functions is 11+ρ\frac { 1 } { 1 + \rho } .


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