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A Unique Informationally Efficient and Decentralized Mechanism with Fair Outcomes

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  • Calsamiglia, Xavier
  • Kirman, Alan

Abstract

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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  • Calsamiglia, Xavier & Kirman, Alan, 1993. "A Unique Informationally Efficient and Decentralized Mechanism with Fair Outcomes," Econometrica, Econometric Society, vol. 61(5), pages 1147-1172, September.
  • Handle: RePEc:ecm:emetrp:v:61:y:1993:i:5:p:1147-72
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    6. Leonid Hurwicz & Mukul Majumdar, 2015. "Optimal lntertemporal Allocation Mechanisms and Decentralization of Decisions," World Scientific Book Chapters,in: Decentralization in Infinite Horizon Economies, chapter 2, pages 12-45 World Scientific Publishing Co. Pte. Ltd..
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    10. Calsamiglia, Xavier, 1982. "On the size of the message space under non-convexities," Journal of Mathematical Economics, Elsevier, vol. 10(2-3), pages 197-203, September.
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    Cited by:

    1. Takashi Ishikida & Thomas Marschak, 1996. "Mechanisms that efficiently verify the optimality of a proposed action," Review of Economic Design, Springer;Society for Economic Design, vol. 2(1), pages 33-68, December.
    2. Tian, Guoqiang, 2004. "On the Informational Requirements of Decentralized Pareto-Satisfactory Mechanisms in Economies with Increasing Returns," MPRA Paper 41226, University Library of Munich, Germany, revised Oct 2006.
    3. Bosch-Domenech, Antoni & Silvestre, Joaquim, 1997. "Credit Constraints in General Equilibrium: Experimental Results," Economic Journal, Royal Economic Society, vol. 107(444), pages 1445-1464, September.
    4. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare,in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506 Elsevier.
    5. Maître Philippe, 1999. "La Notion D'equite : Une Revue," Journal des Economistes et des Etudes Humaines, De Gruyter, vol. 9(1), pages 1-24, March.
    6. Alan Kirman, 2006. "Demand Theory and General Equilibrium: From Explanation to Introspection, a Journey down the Wrong Road," History of Political Economy, Duke University Press, vol. 38(5), pages 246-280, Supplemen.
    7. Guoqiang Tian, 2006. "The unique informational efficiency of the competitive mechanism in economies with production," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(1), pages 155-182, January.
    8. Jose Aizpurua & Antonio Manresa, 1994. "A decentralized and informationally efficient mechanism realizing fair outcomes in economies with public goods," Review of Economic Design, Springer;Society for Economic Design, vol. 1(1), pages 141-158, December.
    9. Marschak, Thomas & Reichelstein, Stefan, 1998. "Network Mechanisms, Informational Efficiency, and Hierarchies," Journal of Economic Theory, Elsevier, vol. 79(1), pages 106-141, March.
    10. Thomas Marschak, 1996. "On economies of scope in communication," Review of Economic Design, Springer;Society for Economic Design, vol. 2(1), pages 1-31, December.
    11. Tian, Guoqiang, 2001. "The Unique Informational Effciency of the Lindahl Allocation Process in Economies with Public Goods," MPRA Paper 41229, University Library of Munich, Germany, revised Oct 2005.

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