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Local disaggregation of negative demand and excess demand functions

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  • Chiappori, Pierre-Andre
  • Ekeland, Ivar
  • Browning, Martin

Abstract

The literature on the characterization of aggregate excess and market demand has generated three types of results: global, local, or ’at a point’. In this note, we study the relationship between the last two approaches. We prove that within the class of functions satisfying standard conditions and whose Jacobian matrix is negative semi-definite, only n/2 + 1 agents are needed for the ’at’ decomposition. We ask whether, within the same class, the ’around’ decomposition also requires only n/2 + 1 agents.
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Suggested Citation

  • Chiappori, Pierre-Andre & Ekeland, Ivar & Browning, Martin, 2007. "Local disaggregation of negative demand and excess demand functions," Journal of Mathematical Economics, Elsevier, vol. 43(6), pages 764-770, August.
  • Handle: RePEc:eee:mateco:v:43:y:2007:i:6:p:764-770
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    1. M. Browning & P. A. Chiappori, 1998. "Efficient Intra-Household Allocations: A General Characterization and Empirical Tests," Econometrica, Econometric Society, vol. 66(6), pages 1241-1278, November.
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    5. Sonnenschein, Hugo, 1973. "Do Walras' identity and continuity characterize the class of community excess demand functions?," Journal of Economic Theory, Elsevier, vol. 6(4), pages 345-354, August.
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    7. P. A. Chiappori & I. Ekeland, 1999. "Aggregation and Market Demand: An Exterior Differential Calculus Viewpoint," Econometrica, Econometric Society, vol. 67(6), pages 1435-1458, November.
    8. Mantel, Rolf R., 1976. "Homothetic preferences and community excess demand functions," Journal of Economic Theory, Elsevier, vol. 12(2), pages 197-201, April.
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    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

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