Sharing Rule Identification for General Collective Consumption Models

Laurens Cherchye, Bram De Rock, Arthur Lewbel and Frederic Vermeulen

No 809, Boston College Working Papers in Economics from Boston College Department of Economics

Abstract: We propose a method to identify bounds (i.e. set identification) on the sharing rule for a general collective household consumption model. Unlike the effects of distribution factors, it is well known that the level of the sharing rule cannot be uniquely identified without strong assumptions on preferences across households of different compositions. Our new results show that, though not point identified without these assumptions, bounds on the sharing rule can still be obtained. We get these bounds by applying revealed preference restrictions implied by the collective model to the household’s continuous aggregate demand functions. We obtain informative bounds even if nothing is known about whether each good is public, private, or assignable within the household, though having such information tightens the bounds. An empirical application demonstrates the practical usefulness of our method.

Keywords: collective model; consumer demand; revealed preferences; sharing rule; identification; bounds (search for similar items in EconPapers)
JEL-codes: C14 C30 D11 D12 D13 (search for similar items in EconPapers)
Date: 2012-05-15, Revised 2013-07-01
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (10)

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Related works:
Journal Article: Sharing Rule Identification for General Collective Consumption Models (2015)
Working Paper: Sharing rule identification for general collective consumption models (2012)
Working Paper: Sharing Rule Identification for General Collective Consumption Models (2012)
Working Paper: Sharing Rule Identification for General Collective Consumption Models (2012)
Working Paper: Sharing Rule Identification for General Collective Consumption Models (2012)
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