高級微觀經(jīng)濟學costminimization-資料下載頁
【導讀】Content:. Definitions. WACM. Oneproduction,costfunctionis. demandfunctionofC-Dtech.andCEStech.Wegot:. seethefig.Whatis?(,)(())fq?????xwxxL. ()f?????wx. Proposition1:c(w,q)ishomogeneousof. degree1inw,andnon-decreasinginq.w.Proposition3:x(w,q)ishomogeneousof. degree0inw.Proposition4:ifV(q)isconvex,thenisx(.)if. V(q)isstrictlyconvex,x(.)issinglepoint.Proposition5:(Shephard’slemma)ifx(w,q). Proposition6:is. seethefig.Proposition7:iff(.)isHD1,c(.)andx(.)is. HD1too,iff(.)isconcave,c(.)isconvexinq.(,)(,)wqcq??xww. 2(,)(,)wwDqDcq?xww. (,)0wDq??xww. tttswxwx. wx0. If,correspondingprice,(,)vf?xxx(,)vf?www. fz?x. (,,)vvfq?xxwx. (,,)(,,)fvvfffcqSTCSCVFCq?????wxwxwxwx. Then:. seetheprove.()max(,)xMafxa?daa?LACandSAC:. So. Seethefig.fLACqSACq?xx. dqq?xx. Giventhetechnology,wecanobtainthe. (productionfunction)?Iftheansweris“yes”,thenthecost. Textbook:. {:(,)}cq???n-1+xwxw. (){:()}vqfq????n-1+xx. (())fq?xw,Andx*maximizef,so. Then. ()xa?
【正文】 . lecture3 for Chu Kechen Honors College Assignment ? Textbook: ? , , , lecture3 for Chu Kechen Honors College Definitions x2 x1 x(w,q) w { : ( , ) }cq? ? ?n 1+x w x w( ) { : ( ) }v q f q? ? ? ?n 1+xx()Qq( ( ) )fq? x w ,lecture3 for Chu Kechen Honors College Properties of cost function x2 x(w,q) w ( , )wDqxwlecture3 for Chu Kechen Honors College Prove of envelope theorem ? Let be the solution of the problem, then ? Differentiating both sides, we have: ? And x* maximize f, so ? Then ()xa?( ) ( ( ) , )M a f x a a??( ) ( ( ) , ) ( ) ( ( ) , )dM a f x a a x a f x a ada x a a? ? ?? ? ?? ? ?? ? ?( ( ) , ) / 0f x a a x?? ? ?()( ) ( , )x x ad M a f x ad a a ????lecture3 for Chu Kechen Honors College LAC and SAC q AC AC q q* lecture3 for Chu Kechen Honors College
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