A Note on Stochastic Rationing Mechanisms
NBER Working Paper No. 313
There are a couple of well-known unsatisfactory properties in the notion of effective demand defined by Benassy and one by Dreze. This is why recent authors in disequilibrium analysis study the stochastic rationing mechanism. Douglas Gale proved the existence of the equilibrium with stochastic rationing mechanism. However, Gale 's rationing mechanism requires an economic agent to know all the individual effective demands from the other agents. This creates the informational problem. Green examined a rationing scheme which depends only on the individual effective demand and the aggregate signals. However, he did not consider conditions on rationing mechanisms to show the existence of temporary equilibrium. The purpose of this paper is to show a couple of sufficient conditions for the existence of temporary equilibrium preserving all properties Green considered on rationing mechanisms. We also discuss the possibility of balancing demand and supply in realization instead of in the mean.
Published: Ito, Takatoshi. "An Example of a Non-Walrasian Equilibrium with Stochastic Rationing at the Walrasian Equilibrium Prices." Economic Letters, Vol. 2,(1979), pp. 13-19.