NATIONAL BUREAU OF ECONOMIC RESEARCH
NATIONAL BUREAU OF ECONOMIC RESEARCH

Non-Trivial Equilibrium in an Economy With Stochastic Rationing

Seppo Honkapohja, Takatoshi Ito

NBER Working Paper No. 322
Issued in February 1979
NBER Program(s):   EFG

Stochastic rationing when the market does not clear draws attention because both Dreze (1975) and Benassy (1975) quantity-constrained equilibria have some undesirable features. Gale (1978)gave the existence proof of trade under uncertainty. His stochastic rationing depends on all the individual effective demands. It is too vague to characterize a rationing mechanism. Moreover, his assumption to ensure a non-trivial equilibrium is economically not clear. In this paper we extend Green (1978) to characterizing the rationing scheme as the individual effective demand times the rationing number which is a function of the aggregate quantity signals. We also construct an economy with money and overlapping generations. We show the existence of the non-trivial equilibrium and provide an example of a non-Wairasian equilibrium at the Walrasian equilibrium prices.

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Document Object Identifier (DOI): 10.3386/w0322

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