Publication Type
Journal Article
Version
publishedVersion
Publication Date
5-2019
Abstract
A social choice rule is said to be mixed Bayesian implementable if one can design a mechanism (or institution) in which the set of all mixed Bayesian Nash equilibrium outcomes coincides with that specified by the rule. The objective of this paper is to generalize the results of mixed Bayesian implementation. By means of example, I first assess the implication of common priors in Bayesian implementation. Second, I identify a mild condition that fills the gap between the necessity and sufficiency for mixed Bayesian implementation in general environments including non-economic ones. Third, I establish some new results to unify the literature of Bayesian implementation and Nash implementation.
Keywords
Bayesian implementation, Closure, Incentive compatibility, Mixed Bayesian monotonicity, Nash implementation, Social choice set
Discipline
Economic Theory
Research Areas
Economic Theory
Publication
Journal of Mathematical Economics
Volume
82
First Page
247
Last Page
263
ISSN
0304-4068
Identifier
10.1016/j.jmateco.2019.03.003
Publisher
Elsevier
Citation
KUNIMOTO, Takashi.
Mixed bayesian implementation in general environments. (2019). Journal of Mathematical Economics. 82, 247-263.
Available at: https://ink.library.smu.edu.sg/soe_research/2267
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Additional URL
https://doi.org/10.1016/j.jmateco.2019.03.003