Lattice Programming and the Consumer's Problem

Abstract

This paper provides an introduction to and discussion of the application of the lattice programming method to classic comparative statics problems in consumer theory. These include comparative statics over densities and consumer types, and characterizations of income effects. The partial order underlying a lattice space is key to determining whether the method applies. Several partial orders are used to derive sufficient conditions for normality. These conditions can encompass, and are otherwise distinct from, the standard ones.

Keywords: consumer's problem, income effects, lattice programming, superextremal

JEL Classification: C00, D11