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Lattice Theory and the Consumer’s Problem.
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Lattice Theory and the Consumer’s Problem.

Leonard J. Mirman and Richard Ruble
Mathematics of Operations Research, Vol.33(2), pp.301-314
01/05/2008

Abstract

This paper explores and explains the application of the lattice theoretic approach to classic comparative statics in consumer theory. Through examples of preferences that are not quasiconcave, or not differentiable, or not continuous, the approach is shown to characterize income effects more powerfully than the standard approach. The underlying partial order is key to applying the method. Therefore, several adapted partial orders are introduced and discussed.
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