高級(jí)微觀經(jīng)濟(jì)學(xué)exchange(編輯修改稿)
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【文章內(nèi)容簡(jiǎn)介】 zp g pz?????????? ?pp1[ m a x ( 0 , ( ) ] m a x ( 0 , ( ) ) f o r 1Ki j ijp z z i k? ? ?? ??? ppThe existence of Walrasian equilibrium – And – Sum up with i – So, we have: ? Example: CD economy 1( ) [ m a x ( 0 , ( ) ] ( ) m a x ( 0 , ( ) ) Ki i j i ijz p z z z? ? ? ? ?? ??p p p p1 11[ m a x ( 0 , ( ) ] ( ) ( ) m a x ( 0 , ( ) ) kkKj i i i ijiiz p z z z? ? ? ? ?????? ? ?p p p p11( ) m a x ( 0 , ( ) ) = 0 f o r ( ) 0kki i i iiiz z p z? ? ? ??????p p p( ) 0iz ? ?pThe first theorem of welfare economics ? Pareto efficient allocations: ? The solution is Pareto sets and also called contract curve. See the fig. 112 2 21 2 1 2m a x ( ). . ( )us t u uww?? ? ?12x , xxxxx12( , )??xxThe first theorem of welfare economics ? If is a Walrasian equilibrium, then x is Pareto efficient. ()x,pThe second theorem of welfare economics ? If x* is a Pareto efficient allocation and , suppose that preference are convex, continuous and monotonic, then x* is a Walrasian equilibrium for the initial endowment for i=1……n. ? Proof1: upper counter s
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