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Household Nash equilibrium with voluntarily contributed public goods

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Author Info
Valérie Lechene (Institute for Fiscal Studies and University College London)
Ian Preston () (Institute for Fiscal Studies and University College London)

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Abstract

We study noncooperative models with two agents and several voluntarily contributed public goods. We focus on interior equilibria in which neither agent is bound by non negativity constraints, establishing the conditions for existence and uniqueness of the equilibrium. While adding-up and homogeneity hold, negativity and symmetry properties are generally violated. We derive the counterpart to the Slutsky matrix, and show that it can be decomposed into the sum of a symmetric and negative semidefinite matrix and another the rank of which never exceeds the number of public goods plus one. Under separability of the public goods the deviation from symmetry is at most rank two.

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Publisher Info
Paper provided by Institute for Fiscal Studies in its series IFS Working Papers with number W05/06.

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Length: 33 pp.
Date of creation: Mar 2005
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Handle: RePEc:ifs:ifsewp:05/06

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Related research
Keywords: Nash equilibrium; Intra-household allocation; Slutsky;

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Find related papers by JEL classification:
D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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  9. Browning, Martin & Francois Bourguignon & Pierre-Andre Chiappori & Valerie Lechene, 1994. "Income and Outcomes: A Structural Model of Intrahousehold Allocation," Journal of Political Economy, University of Chicago Press, vol. 102(6), pages 1067-96, December. [Downloadable!] (restricted)
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  10. Bourguignon, F. & Browning, M. & Chiappori, P. A., 1995. "The Collective Approach to Household Behaviour," DELTA Working Papers 95-04, DELTA (Ecole normale supérieure).
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Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Martin Browing & Pierre-Andre Chiappori & Valerie Lechene, 2006. "Distributional effects in household models: separate spheres and income pooling," Economics Series Working Papers 293, University of Oxford, Department of Economics. [Downloadable!]
    Other versions:
  2. Valérie Lechene & Ian Preston, 2007. "Demand properties in household Nash equilibrium," IFS Working Papers W07/01, Institute for Fiscal Studies. [Downloadable!]
  3. Claude d’Aspremont & Rodolphe Dos Santos Ferreira, 2009. "Household behavior and individual autonomy," Working Papers of BETA 2009-17, Bureau d'Economie Théorique et Appliquée, ULP, Strasbourg. [Downloadable!]
  4. Martin Browing & Pierre-Andre Chiappori & Valerie Lechene, 2006. "Quelques resultats sur l`effet des transferts cibles," Economics Series Working Papers 294, University of Oxford, Department of Economics. [Downloadable!]
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