The exact insensitivity of market budget shares and the "balancing effect"
We reformulate Grandmont's and its successors' notion of behavioral heterogeneity such as to get the exact insensitivity of the aggregate budget share function with respect to changes in prices and income, instead of a mere approximate insensitivity. We propose a non parametric set-up such that, if the population is distributed according to some "uniform" probability measure, the aggregate budget share function is constant. The important contribution is that this exact insensitivity is not explained by any insensitivity at the microeconomic level but rather by an exact "balancing effect". We give illustrative examples of populations that fulfill our requirements.
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- Grandmont, Jean-Michel, 1992.
"Transformations of the commodity space, behavioral heterogeneity, and the aggregation problem,"
Journal of Economic Theory,
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- Michael Jerison, 1998.
"Dispersed Excess Demands, the Weak Axiom and Uniqueness of Equilibrium,"
98-03, University at Albany, SUNY, Department of Economics.
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- Hildenbrand, Werner, 1983. "On the "Law of Demand."," Econometrica, Econometric Society, vol. 51(4), pages 997-1019, July.
- Maret, Isabelle, 1998. "Heterogeneous households}} intertemporal characteristics and the aggregation problem," Research in Economics, Elsevier, vol. 52(2), pages 133-157, June.
- Werner Hildenbrand & Alois Kneip, 1999. "Behavioral Heterogeneity," Discussion Paper Serie A 589, University of Bonn, Germany.
- Kneip, Alois, 1999. "Behavioral heterogeneity and structural properties of aggregate demand," Journal of Mathematical Economics, Elsevier, vol. 31(1), pages 49-79, February.
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