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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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Bibliographic Info

Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 61 (1993)
Issue (Month): 5 (September)
Pages: 1147-72

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Handle: RePEc:ecm:emetrp:v:61:y:1993:i:5:p:1147-72

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  1. Champsaur, Paul & Laroque, Guy, 1981. "Fair allocations in large economies," Journal of Economic Theory, Elsevier, vol. 25(2), pages 269-282, October.
  2. Hurwicz, Leonid & Majumdar, Mukul, 1988. "Optimal intertemporal allocation mechanisms and decentralization of decisions," Journal of Economic Theory, Elsevier, vol. 45(2), pages 228-261, August.
  3. Reichelstein, Stefan, 1984. "Incentive compatibility and informational requirements," Journal of Economic Theory, Elsevier, vol. 34(1), pages 32-51, October.
  4. Stefan Reichelstein & Stanley Reiter, 1985. "Game Forms with Minimal Strategy Spaces," Discussion Papers 663, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  5. 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.
  6. Calsamiglia, Xavier, 1977. "Decentralized resource allocation and increasing returns," Journal of Economic Theory, Elsevier, vol. 14(2), pages 263-283, April.
  7. Schmeidler, David & Vind, Karl, 1972. "Fair Net Trades," Econometrica, Econometric Society, vol. 40(4), pages 637-42, July.
  8. Chander, Parkash, 1983. "On the Informational Size of Message Spaces for Efficient Resource Allocation Processes," Econometrica, Econometric Society, vol. 51(4), pages 919-38, July.
  9. Campbell,Donald E., 1987. "Resource Allocation Mechanisms," Cambridge Books, Cambridge University Press, number 9780521319904.
  10. Chander, Parkash, 1983. "On the informational efficiency of the competitive resource allocation process," Journal of Economic Theory, Elsevier, vol. 31(1), pages 54-67, October.
  11. Panzer, Elisha A & Schmeidler, David, 1974. "A Difficulty in the Concept of Fairness," Review of Economic Studies, Wiley Blackwell, vol. 41(3), pages 441-43, July.
  12. Dasgupta, Swapan & Mitra, Tapan, 1988. "Characterization of intertemporal optimality in terms of decentralizable conditions: The discounted case," Journal of Economic Theory, Elsevier, vol. 45(2), pages 274-287, August.
  13. 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.
  14. Hammond, Peter J, 1979. "Straightforward Individual Incentive Compatibility in Large Economies," Review of Economic Studies, Wiley Blackwell, vol. 46(2), pages 263-82, April.
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Citations

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Cited by:
  1. Alan Kirman, 2006. "Demand Theory and General Equilibrium: From Explanation to Introspection, a Journey down the Wrong Road," Economics Working Papers 0073, Institute for Advanced Study, School of Social Science.
  2. Jose Aizpurua & Antonio Manresa, 1994. "A decentralized and informationally efficient mechanism realizing fair outcomes in economies with public goods," Review of Economic Design, Springer, vol. 1(1), pages 141-158, December.
  3. Marschak, Thomas & Reichelstein, Stefan, 1998. "Network Mechanisms, Informational Efficiency, and Hierarchies," Journal of Economic Theory, Elsevier, vol. 79(1), pages 106-141, March.
  4. Takashi Ishikida & Thomas Marschak, 1996. "Mechanisms that efficiently verify the optimality of a proposed action," Review of Economic Design, Springer, vol. 2(1), pages 33-68, December.
  5. Bosch-Domenech, A. & Silvestre, J., 1995. "Credit Constraint in General Equilibrium: Experimental Results," Papers 95-07, California Davis - Institute of Governmental Affairs.
  6. Guoqiang Tian, 2006. "The unique informational efficiency of the competitive mechanism in economies with production," Social Choice and Welfare, Springer, vol. 26(1), pages 155-182, January.
  7. Thomas Marschak, 1996. "On economies of scope in communication," Review of Economic Design, Springer, vol. 2(1), pages 1-31, December.
  8. 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.
  9. 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.
  10. 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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