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Econometrica Vol. 65 No. 5 1997

Virtual Bayesian Implementation

John Duggan

Abstract

Allowing for incomplete information, this paper characterizes the social choice functions that can be approximated by the equilibrium outcomes of a mechanism: incentive compatibility is necessary and almost sufficient for virtual Bayesian implementability. In conjunction with a second condition, Bayesian incentive consistency, incentive compatibility is also sufficient. This new condition is weak--under standard topological and informational assumptions it is satisfied by every social choice function. The type sets of the agents are taken to be arbitrary (possibly infinite) measurable spaces. An example shows that there are virtually (in fact, exactly) Bayesian implementable social choice functions that are not virtually implementable in iteratively undominated strategies.

DOI
10.2307/2171883
Volume
65
Issue
5
Pages
1175
Sources
bibtex:phds-export.bib crossref openalex

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