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    Homotheticity and Quasi-concavity

    Hi, I recently started graduate school in econ, and had a question about homotheticity versus quasi-concavity. Are homtheticity and quasi-concavity independent properties of a function? Is either property necessary or sufficient for the other? Thanks for any help in advance.
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    Homotheticity of a CES Utility function

    Hi Im having some trouble figuring out how I know a function is homothetic. I have this CES utility function which represents homothetic preferences: u(x_1,x_2)=(x_1^{-p}+x_2^{-p})^{\frac{\--1}{p}} I know that it is homogeneous of degree 1...