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A Note on Jackson's Theorems in Bayesian Implementation

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  • Saglam, Ismail

Abstract

This paper shows that in an incomplete information situation if the set of states of the society which occur with positive probability satisfies 'connection' condition, then closure condition will be satisfied by all social choice sets. It then follows from Jackson's (1991) two fundamental theorems that whenever 'connection' holds and there are at least three agents in the society, for the implementability of social choice sets in Bayesian equilibrium, incentive compatibility and Bayesian monotonicity conditions are both necessary and sufficient in economic environments whereas incentive compatibility and monotonicity-no-veto conditions are sufficient in noneconomic environments.

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File URL: http://mpra.ub.uni-muenchen.de/2330/
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File URL: http://mpra.ub.uni-muenchen.de/7253/
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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 2330.

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Date of creation: May 1997
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Handle: RePEc:pra:mprapa:2330

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Keywords: Bayesian implementation; incomplete information;

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  1. Jackson, Matthew O, 1991. "Bayesian Implementation," Econometrica, Econometric Society, Econometric Society, vol. 59(2), pages 461-77, March.
  2. Palfrey, Thomas R & Srivastava, Sanjay, 1987. "On Bayesian Implementable Allocations," Review of Economic Studies, Wiley Blackwell, Wiley Blackwell, vol. 54(2), pages 193-208, April.
  3. Palfrey, Thomas R & Srivastava, Sanjay, 1989. "Implementation with Incomplete Information in Exchange Economies," Econometrica, Econometric Society, Econometric Society, vol. 57(1), pages 115-34, January.
  4. Postlewaite, Andrew & Schmeidler, David, 1986. "Implementation in differential information economies," Journal of Economic Theory, Elsevier, Elsevier, vol. 39(1), pages 14-33, June.
  5. Palfrey, Thomas R & Srivastava, Sanjay, 1989. "Mechanism Design with Incomplete Information: A Solution to the Implementation Problem," Journal of Political Economy, University of Chicago Press, University of Chicago Press, vol. 97(3), pages 668-91, June.
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Cited by:
  1. Matthew O. Jackson, 2001. "A crash course in implementation theory," Social Choice and Welfare, Springer, Springer, vol. 18(4), pages 655-708.

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