It is shown that any informationally decentralized mechanism that realizes fair allocations over the class of classical pure exchange environments has a message space of dimension no smaller than the number of agents times the number of commodities. Since the equal income Walrasian mechanism, in which all agents take prices parametrically and maximize utility subject to the average income constraint, realizes fair outcomes over the class of classical pure exchange environments and has a message space of that dimension, it is informationally efficient. Further, it is shown that it is the unique informationally efficient mechanism realizing fair allocations. Copyright 1993 by The Econometric Society.
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Article provided by Econometric Society in its journal Econometrica.
Volume (Year): 61 (1993) Issue (Month): 5 (September) Pages: 1147-72 Download reference. The following formats are available: HTML
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References listed on IDEAS Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
Kenneth Mount & Stanley Reiter, 1973.
"The Informational Size of Message Spaces,"
Discussion Papers
3, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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