A Note on Jackson's Theorems in Bayesian Implementation
This note shows that in an incomplete information situation the closure condition will be satisfied by all social choice sets if and only if the set of states of the society which all agents believeoccur with positive probability satisfies the `connection' condition.It then follows from Jackson''s  fundamental theorems that whenever `connection'' is satisfied and there are at least three agents in the society, for the implementability of social choice sets in Bayesian equilibrium the incentive compatibility and Bayesian monotonicity conditions are both necessary and sufficient in economic environments. It also follows that the incentive compatibility and monotonicity-no-veto conditions are sufficient in noneconomic environments.
Volume (Year): 3 (2008)
Issue (Month): 55 ()
|Contact details of provider:|| |
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.:
- Jackson, Matthew O, 1991. "Bayesian Implementation," Econometrica, Econometric Society, vol. 59(2), pages 461-477, March.
- Thomas R. Palfrey & Sanjay Srivastava, 1987.
"On Bayesian Implementable Allocations,"
Review of Economic Studies,
Oxford University Press, vol. 54(2), pages 193-208.
- 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, vol. 97(3), pages 668-691, June.
- Palfrey, Thomas R. & Srivastava, Sanjay., 1987. "Mechanism Design with Incomplete Information: A Solution to the Implementation Problem," Working Papers 658, California Institute of Technology, Division of the Humanities and Social Sciences.
- Postlewaite, Andrew & Schmeidler, David, 1986. "Implementation in differential information economies," Journal of Economic Theory, Elsevier, vol. 39(1), pages 14-33, June.
- Palfrey, Thomas R & Srivastava, Sanjay, 1989. "Implementation with Incomplete Information in Exchange Economies," Econometrica, Econometric Society, vol. 57(1), pages 115-134, January.
When requesting a correction, please mention this item's handle: RePEc:ebl:ecbull:eb-08c70016. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (John P. Conley)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.