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Chu Kechen Honors College of cost function ? Proposition1: c(w,q) is homogeneous of degree 1 in w, and nondecreasing in q. ? Proposition2: c(w,q) is concave function of w. ? Proposition3: x(w,q) is homogeneous of degree 0 in w. ? Proposition4:if V(q) is convex, then is x(.) if V(q) is strictly convex, x(.) is single point. lecture3 for Chu Kechen Honors College of cost function ? Proposition5: (Shephard’s lemma) if x(w,q) is single point, then ? Proposition6: is symmetric negative semidefinite, and see the fig. ? Proposition7: if f(.) is HD1, c(.) and x(.) is HD1 too, if f(.) is concave, c(.) is convex in q. ( , ) ( , )wq c q??x w w2( , ) ( , )wwD q D c q?x w w( , ) 0wDq ??x w wlecture3 for Chu Kechen Honors College ? Weak Axiom of Cost Minimization (WACM)