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A Cournot-Nash Model of Family Decision Making

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Author Info
Zhiqi Chen () (Department of Economics, Carleton University)
Frances Woolley () (Department of Economics, Carleton University)

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Abstract

This paper develops a model of two person family. Each family member attempts to maximize his or her own utility. Yet they are interdependent in two respects. Family members are interdependent, first of all, because they care about each other. Second, there are local public goods or household expenditures within the family, such as housing. The presence of household expenditures means that one family member's consumption choices affect the other family member's level of well-being. The two family members' interdependent utility maximization problems are first solved using a non-cooperative, or Cournot-Nash, game theoretic framework then the model is extended to take the Cournot-Nash equilibrium as a threat point in a bargaining game. The model's predictions differ substantially from the "unitary" framework usually used in economic analysis, in which households maximize a single household utility function. When the spouses are relatively equal in income, or when one spouse is much wealthier than the other and the wealthier spouse has all the bargaining power in the family, the equilibrium depends, as in the unitary model, on household income but not on the division of income between spouses. In the intermediate case between equality and substantial inequality or in the case where one spouse is much wealthier than the other but the wealthier spouse does not have all the bargaining power, the distribution of income does shape expenditure patterns, contrary to the predictions of the unitary model. The contribution of the paper is to provide a rigorous derivation of the properties of household demands in the Cournot-Nash setting, a full analysis of the determinants of intra-household resource allocation, including the effect of varying household bargaining power, and an explication of the model’s implications for policy analysis.

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File URL: http://www2.carleton.ca/economics/research/working-papers/carleton-economic-papers-cep/1991-2000/
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Publisher Info
Paper provided by Carleton University, Department of Economics in its series Carleton Economic Papers with number 99-13.

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Length: 45 pages
Date of creation: Jun 1999
Date of revision:
Publication status: Published: Carelton Economic Paper
Handle: RePEc:car:carecp:99-13

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Related research
Keywords: family; non-cooperation household barganing models;

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Find related papers by JEL classification:
D1 - Microeconomics - - Household Behavior
D7 - Microeconomics - - Analysis of Collective Decision-Making

References listed on IDEAS
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  1. Chiappori, Pierre-Andre, 1992. "Collective Labor Supply and Welfare," Journal of Political Economy, University of Chicago Press, vol. 100(3), pages 437-67, June. [Downloadable!] (restricted)
    Other versions:
  2. Gary S. Becker, 1974. "A Theory of Social Interactions," NBER Working Papers 0042, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  3. Lundberg, Shelly & Pollak, Robert A, 1993. "Separate Spheres Bargaining and the Marriage Market," Journal of Political Economy, University of Chicago Press, vol. 101(6), pages 988-1010, December. [Downloadable!] (restricted)
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  4. Ted Bergstrom, 1995. "A Survey of Theories of the Family," Papers _027, University of Michigan, Department of Economics. [Downloadable!]
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  5. Konrad, Kai A & Lommerud, Kjell Erik, 1995. " Family Policy with Non-cooperative Families," Scandinavian Journal of Economics, Blackwell Publishing, vol. 97(4), pages 581-601, December.
  6. Chiappori, Pierre-Andre, 1988. "Nash-Bargained Households Decisions: A Comment," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(4), pages 791-96, November. [Downloadable!] (restricted)
  7. Kanbur, Ravi & Haddad, Lawrence, 1994. "Are Better Off Households More Unequal or Less Unequal?," Oxford Economic Papers, Oxford University Press, vol. 46(3), pages 445-58, July. [Downloadable!] (restricted)
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  8. Warr, Peter G., 1983. "The private provision of a public good is independent of the distribution of income," Economics Letters, Elsevier, vol. 13(2-3), pages 207-211. [Downloadable!] (restricted)
  9. Woolley, Frances R & Marshall, Judith, 1994. "Measuring Inequality within the Household," Review of Income and Wealth, Blackwell Publishing, vol. 40(4), pages 415-31, December.
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  10. Konrad, Kai A & Lommerud, Kjell Erik, 1996. "The Bargaining Family Revisited," CEPR Discussion Papers 1312, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  11. del Boca, D. & Flinn, C.J., 1992. "Expenditure Decisions of Divorced Mothers and Income Composition," Working Papers 92-40, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
  12. Thomas, D., 1989. "Intra-Household Resource Allocation: An Inferential Approach," Papers 586, Yale - Economic Growth Center.
  13. Pollak, Robert A, 1985. "A Transaction Cost Approach to Families and Households," Journal of Economic Literature, American Economic Association, vol. 23(2), pages 581-608, June. [Downloadable!] (restricted)
  14. Bergstrom, Theodore & Blume, Lawrence & Varian, Hal, 1986. "On the private provision of public goods," Journal of Public Economics, Elsevier, vol. 29(1), pages 25-49, February. [Downloadable!] (restricted)
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  15. Lundberg, Shelly & Pollak, Robert A, 1996. "Bargaining and Distribution in Marriage," Journal of Economic Perspectives, American Economic Association, vol. 10(4), pages 139-58, Fall. [Downloadable!] (restricted)
  16. Bergstrom, Theodore C, 1989. "A Fresh Look at the Rotten Kid Theorem--and Other Household Mysteries," Journal of Political Economy, University of Chicago Press, vol. 97(5), pages 1138-59, October. [Downloadable!] (restricted)
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  17. Browning, M. & Bourguignon, F. & Chiappori, P.A. & Lechene, V., 1992. "Incomes and Outcomes: A structural Model of Intra-Household Allocation," DELTA Working Papers 92-23, DELTA (Ecole normale supérieure).
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  18. Lundberg, S.J. & Pollak, R.A. & Wales, T.J., 1994. "Do Husbands and Wives Pool Their Resources? Evidence from U.K. Child Benefit," Discussion Papers in Economics at the University of Washington 94-6, Department of Economics at the University of Washington.
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