【正文】
), ? Proposition2: satisfied ULD, then AD satisfied WA. ? Proposition3: consumers have the same preference, and their wealth nonincreasing distribution on ,then AD satisfied ULD. ( ) [ ( , ) ( , ) ] 0 , ,i i i i ip p p w p w p p w? ? ?? ? ? ?xx( , )iipwx[0, ]w0( ) ( , ) ( )wp p w g w dw???xx consumer ? We can regard AD as a rational consumer. ? When can we measure welfare of society by the preference of this consumer? ? Definition: PRC (positive representative consumer) , there is a rational educing AD, then exist a PRC. % consumer ? Definition: BergsonSamuelson social welfare function: ? A merciful government distribute the wealth to maximize W. (*) : I? ? ?W111Ii = 1m a x ( ( , ) ( , ) ) . . Iiiwwiv p w v p ws t w w??W consumer ? Porposit