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A necessary and sufficient condition for rationalizability in a quasi-linear context

Rochet, Jean-Charles (1987), A necessary and sufficient condition for rationalizability in a quasi-linear context, Journal of Mathematical Economics, 16, 2, p. 191-200. http://dx.doi.org/10.1016/0304-4068(87)90007-3

Type
Article accepté pour publication ou publié
Date
1987
Journal name
Journal of Mathematical Economics
Volume
16
Number
2
Publisher
Elsevier
Pages
191-200
Publication identifier
http://dx.doi.org/10.1016/0304-4068(87)90007-3
Metadata
Show full item record
Author(s)
Rochet, Jean-Charles
Abstract (EN)
The aim of this note is to give a simple characterization of the rationalizability of decision rules (or action profiles). The necessary and sufficient condition we obtain suggests interesting analogies between the Implementation Problem and Revealed Preference Theory. Two particular cases are examined: 1. (a) The one-dimensional context, which shows that our condition is a generalization of the monotonicity condition of Spence-Mirrlees, 2. (b) The linear set-up, which shows that rationalizability in multiple dimension requires more than monotonicity: it implies also symmetry conditions which are translated by Partial Differential Equations (analogue in this context of Slutsky equations for Revealed Preference Theory).
Subjects / Keywords
Implementation Problem; Revealed Preference Theory

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