
The housing problem and revealed preference theory: duality and an application
Ekeland, Ivar; Galichon, Alfred (2013), The housing problem and revealed preference theory: duality and an application, Economic theory, 54, 3, p. 425-441. http://dx.doi.org/10.1007/s00199-012-0719-x
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Article accepté pour publication ou publiéDate
2013Journal name
Economic theoryVolume
54Number
3Publisher
Springer
Pages
425-441
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This paper exhibits a duality between the theory of revealed preference of Afriat and the housing allocation problem of Shapley and Scarf. In particular, it is shown that Afriat’s theorem can be interpreted as a second welfare theorem in the housing problem. Using this duality, the revealed preference problem is connected to an optimal assignment problem, and a geometrical characterization of the rationalizability of experiment data is given. This allows in turn to give new indices of rationalizability of the data and to define weaker notions of rationalizability, in the spirit of Afriat’s efficiency index.Subjects / Keywords
Revealed preferences; Afriat’s theorem; Optimal assignments; Indivisible allocationsRelated items
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