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Heuristics for Deciding Collectively Rational Consumption Behavior

  • Fabrice Talla Nobibon

    ()

  • Laurens Cherchye

    ()

  • Bram De Rock

    ()

  • Jeroen Sabbe

    ()

  • Frits Spieksma

    ()

We consider the computational problem of testing whether observed household consumption behavior satisfies the Collective Axiom of Revealed Preferences (CARP). We propose a graph such that the existence of a node-partitioning giving rise to two induced subgraphs that are acyclic implies that the data satisfy CARP. Furthermore, we propose and implement heuristics that are quite fast, that can be used to check reasonably large datasets for CARP and that can be of particular interest when used prior to computationally demanding approaches. Finally, from the computational results we conclude that these heuristics can be effective in testing CARP.

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File URL: http://hdl.handle.net/10.1007/s10614-010-9228-9
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Article provided by Society for Computational Economics in its journal Computational Economics.

Volume (Year): 38 (2011)
Issue (Month): 2 (August)
Pages: 173-204

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Handle: RePEc:kap:compec:v:38:y:2011:i:2:p:173-204
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  1. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-73, July.
  2. Martin Browning & Laura Blow, 2006. "Revealed Preference Analysis of Characteristics Models," Economics Series Working Papers 282, University of Oxford, Department of Economics.
  3. Donald J. Brown & Chris Shannon, 1998. "Uniqueness, Stability, and Comparative Statics in Rationalizable Walrasian Markets," GE, Growth, Math methods 9802003, EconWPA, revised 02 Mar 1998.
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  8. repec:eca:wpaper:2008_001 is not listed on IDEAS
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  10. Cherchye, Laurens & De Rock, Bram & Sabbe, Jeroen & Vermeulen, Frederic, 2008. "Nonparametric tests of collectively rational consumption behavior: An integer programming procedure," Journal of Econometrics, Elsevier, vol. 147(2), pages 258-265, December.
  11. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2010. "An Afriat theorem for the collective model of household consumption," ULB Institutional Repository 2013/131711, ULB -- Universite Libre de Bruxelles.
  12. Chiappori, Pierre-Andre, 1992. "Collective Labor Supply and Welfare," Journal of Political Economy, University of Chicago Press, vol. 100(3), pages 437-67, June.
  13. Martin Browning & P.A. Chiappori, 1996. "Efficient Intra-Household Allocations - A General Characterization and Empirical Tests," Discussion Papers 96-10, University of Copenhagen. Department of Economics.
  14. Carvajal, Andres & Ray, Indrajit & Snyder, Susan, 2004. "Equilibrium behavior in markets and games: testable restrictions and identification," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 1-40, February.
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  16. P.-A. Chiappori & I. Ekeland, 2009. "The Microeconomics of Efficient Group Behavior: Identification," Econometrica, Econometric Society, vol. 77(3), pages 763-799, 05.
  17. Laurens Cherchye & Ian Crawford & Bram De Rock & Frederic Vermeulen, 2009. "The revealed preference approach to demand," ULB Institutional Repository 2013/132522, ULB -- Universite Libre de Bruxelles.
  18. Starr, Ross M, 1969. "Quasi-Equilibria in Markets with Non-Convex Preferences," Econometrica, Econometric Society, vol. 37(1), pages 25-38, January.
  19. Mette Christensen, 2007. "Integrability of demand accounting for unobservable heterogeneity: a test on panel data," IFS Working Papers W07/14, Institute for Fiscal Studies.
  20. Chiappori, P.A. & Ekeland, I., 2006. "The micro economics of group behavior: General characterization," Journal of Economic Theory, Elsevier, vol. 130(1), pages 1-26, September.
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