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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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Type
Article accepté pour publication ou publié
Date
2013
Journal name
Economic theory
Volume
54
Number
3
Publisher
Springer
Pages
425-441
Publication identifier
http://dx.doi.org/10.1007/s00199-012-0719-x
Metadata
Show full item record
Author(s)
Ekeland, Ivar
Galichon, Alfred
Abstract (EN)
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 allocations
JEL
D11 - Consumer Economics: Theory
C60 - General
C78 - Bargaining Theory; Matching Theory

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