The geometric structure of some systems of demand equations

摘要: Abstract Consider the income compensation function Y = φ ( p , y ; 0 ) where ∈ R are levels and n prices. By holding fixed we may interpret this as an -parameter transformation of to . With interpretation show that a system demand functions is additively separable in prices if only Lie group on Sophus Lie's 1888 classification such groups into three fundamental types provides alternative derivation both rank 3 condition Gorman functional forms found by him.