Arbeitspapier

An Afriat theorem for the collective model of household consumption

We provide a nonparametric 'revealed preference' characterization of rational household behavior in terms of the collective consumption model, while accounting for general (possibly non-convex) individual preferences. We establish a Collective Axiom of Revealed Preference (CARP), which provides a necessary and sufficient condition for data consistency with collective rationality. Our main result takes the form of a 'collective' version of the Afriat Theorem for rational behavior in terms of the unitary model. This theorem has some interesting implications. With only a finite set of observations, the nature of consumption externalities (positive or negative) in the intra-household allocation process is non-testable. The same non-testability conclusion holds for privateness (with or without externalities) or publicness of consumption. By contrast, concavity of individual utility functions (representing convex preferences) turns out to be testable. In addition, monotonicity is testable for the model that assumes all household consumption is public.

Language
Englisch

Bibliographic citation
Series: IZA Discussion Papers ; No. 3794

Classification
Wirtschaft
Consumer Economics: Theory
Subject
Collective model
consumption
Pareto efficiency
revealed preferences
Afriat theorem
Collective Axiom of Revealed Preferences
Konsumentenverhalten
Privater Haushalt
Haushaltsökonomik
Pareto-Optimum
Offenbarte Präferenzen
Theorie

Event
Geistige Schöpfung
(who)
Cherchye, Laurens
De Rock, Bram
Vermeulen, Frederic
Event
Veröffentlichung
(who)
Institute for the Study of Labor (IZA)
(where)
Bonn
(when)
2008

Handle
URN
urn:nbn:de:101:1-20081126681
Last update
10.03.2025, 11:42 AM CET

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Object type

  • Arbeitspapier

Associated

  • Cherchye, Laurens
  • De Rock, Bram
  • Vermeulen, Frederic
  • Institute for the Study of Labor (IZA)

Time of origin

  • 2008

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