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IFS Working Papers
March 2012 W12/03
Revealed preference in a discrete consumption space
Type: IFS Working Papers
Authors: Matthew Polisson and John Quah
ISSN: 1742-0415

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We show that an agent maximizing some utility function on a discrete (as opposed to continuous) consumption space will obey the generalized axiom of revealed preference (GARP) so long as the agent obeys cost efficiency. Cost efficiency will hold if there is some good, outside the set of goods being studied by the modeler, that can be consumed by the agent in continuous quantities. An application of Afriat's Theorem then guarantees that there is a strictly increasing utility function on the discrete consumption space that rationalizes price and demand observations in that space.

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