高级微观经济学publicgoodsandexternality(编辑修改稿)

高级微观经济学publicgoodsandexternality(编辑修改稿)内容摘要：

u G u GPublic goods • When there is no freerider? • For 1, • Or 111 1 2 1,11 1 1m a x ( , ) . . 0 gxu g g xs t gw g x111,21 2 1m a x ( , ) . . G Gxu G xs t gw g G x  Public goods • Let be the demand for public goods of his wealth. We have: • And • in the same way, we got: 1 ()Dw1 2 2m a x { ( ) , }G D w g g1 2 1 2 2m a x { ( ) , 0 }g G g D w g g       2 1 1 1m a x { ( ) , 0 }g D w g g    Public goods • If utility is quasilinear, • If , then and • If , then ()iiD w g1 1 2m a x { , 0 }g g g2 2 1m a x { , 0 }g g g12gg 11gg  2 0g 12gg 12 0ggPublic goods • Insufficient provision of public goods – While, – Let – Then: – For – So ( ) , t h e e q u a t i o n h o l d s f o r 0iiu G p g   ( ) , the e qu a tion h ol ds f or 0c G p G   **1 , w h e n 0 , a n d 0 , w h e n 0i i i igg   1[ ( ) ( ) ] 0Iiiiu G c G 1 1 1( ) ( ) , f o r 1I I Ii i i ii i iu G u G I     1( ) ( )Iiiu G c GPublic goods • Voting: – Paradox of。