Stochastic demand correspondences and their aggregation properties
AbstractBandyopadhyay, Dasgupta and Pattanaik [JET, 2002] have presented a construction that aggregates standard demand functions by a stochastic demand function, in such way that the latter satisfies the weak axiom of stochastic revealed preference when the former full Samuelson's weak axiom of revealed preference. We introduce a concept of stochastic demand correspondences and generalize WASRP to this new setting. Also, we propose a procedure to aggregate stochastic demand correspondences that (a) includes the previous one by those authors, (b) aggregates the weak axiom of stochastic revealed preference (and thus stochastic substitutability when we started with tight stochastic demand func- tions), and (c) produces a stochastically rational stochastic demand correspondence when the primitive ones are stochastically rational. Interpretations of the model are provided too. An analogous to the result that rationalizability of stochastic demand functions by stochastic orderings implies WASRP holds for the correspondence setting. We also dis- cuss the convenience of adopting a formal variation of the notion of being stochastically rational that was proposed in the literature.
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Bibliographic InfoPaper provided by EconWPA in its series Microeconomics with number 0501004.
Length: 15 pages
Date of creation: 08 Jan 2005
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- J. C. R. Alcantud, 2003. "Stochastic demand correspondences and their aggregation properties," Microeconomics 0309001, EconWPA, revised 08 Jan 2005.
- D1 - Microeconomics - - Household Behavior
- D2 - Microeconomics - - Production and Organizations
- D3 - Microeconomics - - Distribution
- D4 - Microeconomics - - Market Structure and Pricing
This paper has been announced in the following NEP Reports:
- NEP-ALL-2005-01-16 (All new papers)
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