Publication Type
Working Paper
Version
publishedVersion
Publication Date
1-2020
Abstract
This paper investigates rationalizable implementation of social choice sets (SCSs) in incomplete information environments. We identify rationalizable incentive compatibility (RIC) as its key condition, argue by means of example that RIC is strictly weaker than the standard Bayesian incentive compatibility (BIC), and show that RIC reduces to BIC when we only consider single-valued SCSs (i.e., social choice functions or SCFs). We next identify additional necessary conditions and, essentially closing the gap be-tween necessity and sufficiency, obtain a sufficiency result for rationalizable implementation in general environments. We also characterize a well-studied class of economic environments in which RIC is essentially the only condition needed for rationalizable implementation. Considering SCFs, we show that interim rationalizable monotonicity, found in the literature, is not necessary for rationalizable implementation, as had been previously claimed.
Keywords
Rationalizable incentive compatibility, Bayesian incentive com-patibility, uniform Bayesian monotonicity, interim rationalizable monotonic-ity, implementation, rationalizability.
Discipline
Economic Theory
Research Areas
Economic Theory
First Page
1
Last Page
54
Publisher
SMU Economics and Statistics Working Paper Series, Paper No. 04-2020
Citation
KUNIMOTO, Takashi and SERRANO, Roberto.
Rationalizable Incentives: Interim Implementation of Sets in Rationalizable Strategies. (2020). 1-54.
Available at: https://ink.library.smu.edu.sg/soe_research/2354
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.