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Game Forms with Minimal Message Spaces

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Author Info
Reichelstein, Stefan
Reiter, Stanley

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Abstract

This paper is concerned with the amount of communication that must be provided to implement a performance standard by a mechanism whose stationary messages have the Nash property. In p articular, the authors study implementation of Walrasian allocations in exchange environments. They show that the smallest message space t hat implements Walrasian allo-cations is one of dimension, roughly, n E (. 1 1)& ./(n 1 1), where . is the number of commodities and n the number of agents. The authors exhibit an implementing mechanism whos e message space has that dimension. Copyright 1988 by The Econometric Society.

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Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 56 (1988)
Issue (Month): 3 (May)
Pages: 661-92
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Handle: RePEc:ecm:emetrp:v:56:y:1988:i:3:p:661-92

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  1. J. Jordan, 2009. "Communication complexity and stability of equilibria in economies and games," Review of Economic Design, Springer, vol. 13(1), pages 115-135, April. [Downloadable!] (restricted)
  2. Ilya Segal, 2004. "The Communication Requirements of of Social Choice Rules and Supporting Budget Sets," Economics Working Papers 0039, Institute for Advanced Study, School of Social Science. [Downloadable!]
  3. Leonid Hurwicz, 1994. "Economic design, adjustment processes, mechanisms, and institutions," Review of Economic Design, Springer, vol. 1(1), pages 1-14, December. [Downloadable!] (restricted)
  4. Eric Maskin & Tomas Sjostrom, 2001. "Implementation Theory," Economics Working Papers 0006, Institute for Advanced Study, School of Social Science. [Downloadable!]
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  5. Bhaskar Dutta & Arunava Sen & Rajiv Vohra, 1994. "Nash implementation through elementary mechanisms in economic environments," Review of Economic Design, Springer, vol. 1(1), pages 173-203, December. [Downloadable!] (restricted)
  6. Bernarda Zamora & Pablo Amorós, 1998. "- Implementation Of Optimal Contracts Under Adverse Selection," Working Papers. Serie AD 1998-25, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
  7. William Thomson, 2004. "Divide-and-Permute," RCER Working Papers 510, University of Rochester - Center for Economic Research (RCER). [Downloadable!]
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