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Suppose a quasi-linear preference is represented by a utility function of the form u(x)=x1+(x2,...,xn) . Show that the Hicksian demand functions for goods 2,...,n are

Suppose a quasi-linear preference is represented by a utility function of the form u(x)=x1+ϕ(x2,...,xn). Show that the Hicksian demand functions for goods 2,...,n are independent of utility *WITHOUT* assuming this function is differentiable, i.e. use the definition of quasilinear preference to prove.

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Ans 1 ux1 x2 r1r1 x1 r11x 2 0 The intuition here is that having a higher reference point is bad Higher r1 is associated to a lower level of utility 2 ... blur-text-image

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