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Contents

16.1. Introduction 1370

16.1.1 InequalityBetweenIndividuals 1370

16.1.2 Modeling Household Decision Making: The Collective Model 1374

16.2. The Collective Model: Concepts, Definitions, and Axioms 1375

16.3.

Modeling Household Behavior: The Collective Model 1378

16.3.1 Private Goods Only: The Sharing Rule 1378

16.3.2 PublicandPrivateCommodities 1379

16.3.3 An Example 1382

16.3.4 Domestic Production 1384

16.4. TheDeterminantsofIntrahouseholdAllocation 1386

16.4.1 Bargaining Models 1387

16.4.2 Equilibrium Models 1388

16.5. Identification 1390

16.5.1 “Pure” IdentificationintheCollectiveModel 1391

16.5.1.1 MainIdentificationResult 1391

16.5.1.2 PrivateGoodsandtheSharingRule 1393

16.5.1.3 Public Goods Only 1395

16.5.1.4 TheGeneralCase 1396

16.5.1.5 A Linear Expenditure System Example 1396

16.5.2 Comparing Different Family Sizes 1400

16.5.3 Identifying from Market Equilibrium 1402

16.6. Empirical Findings 1403

16.6.1 “Pure” IdentificationoftheSharingRule 1404

16.6.2 Intrahousehold Inequality Over Time and the Sharing Rule: Lise and Seitz (2011) 1409

16.6.3 Intrahousehold Inequality and Children 1410

16.6.4 Revealed Preference Restrictions and the Identification of the Sharing Rule 1413

16.7. Conclusion 1415

Acknowledgments 1416

References 1416

Abstract

Studies of inequality often ignore resource allocation within the household. In doing so they miss an important element of the distribution of welfare that can vary dramatically depending on overall envi­ronmental and economic factors. Thus, measures of inequality that ignore intrahousehold allocations are both incomplete and misleading. We discuss determinants of intrahousehold allocation of

Handbook of Income Distribution, Volume 2B

© 2015 Elsevier B.V.

All rights reserved. 1369

ISSN 1574-0056, http://dx.doi.org/10.1016/B978-0-444-59429-7.00017-0 resources and welfare. We show how the sharing rule, which characterizes the within-household allo­cations, can be identified from data on household consumption and labor supply. We also argue that a measure based on estimates of the sharing rule is inadequate as an approach that seeks to understand how welfare is distributed in the population because it ignores public goods and the allocation of time to market work, leisure, and household production. We discuss a money metric alternative, that fully characterizes the utility level reached by the agent. We then review the current literature on the esti­mation of the sharing rule based on a number of approaches, including the use of distribution factors as well as preference restrictions.

Keywords

Collective model, Income distribution, Economics of the family, Labor supply, Household behavior

JEL Classification Codes

D1, D11, D12, D13, D31, D6, H41

16.1.

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Source: Atkinson Anthony, Bourguignon François. Handbook of Income Distribution. Volume 2B. North Holland, 2014. — 2366 p..
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