2. Aggregation across consumers Step1: x(p, w,w)=x(p, w), that means aggregate demand are independent on the distribution of the wealth Proposition 1: if and only if each consumer has a indirect utility function of Gormans (p, w)=a, (p)+b(p)w aggregate demands are independent on the distribution of the wealth2.Aggregation across consumers • Step1: , that means aggregate demand are independent on the distribution of the wealth. • Proposition1:if and only if each consumer has a indirect utility function of Gorman’s aggregate demands are independent on the distribution of the wealth. 1 ( , ) ( , ) x p x p w w w I = ( , ) ( ) ( ) i i i v w a p b p w p = +