Vladimir Danilov

In The Paper We Consider A Problem Of Characterization Of Utility Functions Which Generates Gross Substitute Demand. Let F Be A Concave Function; We Consider It As A Utility Function Of Some Comsumer Expressed In Terms Of Money. This Means That Demand (At A Price P) Is Formed As Solunion Of The Problem F(X)–P(X) → Max. Such A Function Is A GS-Function If An Increasing Of Price Of Any Good Yields Increasing Of Demand Of Other Goods. We Prove That F Is A GS-Function If And Only If The Conjugate Function F * Is Supermodular. As A Corollary We Prove That Any GS-Function Is Submodular. We Provide Also A Rule For Calculation Of The Derivative Of The Convolution Of Several Concave Functions.