关于中级微观经济学的题目
suppose u(x1,x2) and v(x1,x2) are utility functions.
(1)Prove that if u(x1,x2) and v(x1,x2) are homogeneous of degree r,
then s=u(x1,x2) + v(x1,x2) ishomogeneous of degree r.
(2)Prove that if u(x1,x2) and v(x1,x2) are quasiconcave,
then min(x1,x2)=min{u(x1,x2) , v(x1,x2)} isalso quasiconcave.