Approximate Bayesian Implementation and Exact Maxmin Implementation: An Equivalence
62 Pages Posted: 20 Aug 2019 Last revised: 17 Oct 2022
Date Written: October 17, 2022
Abstract
This paper provides a micro-foundation for approximate incentive compatibility using ambiguity aversion. In particular, we propose a novel notion of approximate interim incentive compatibility, approximate local incentive compatibility, and establish an equivalence between approximate local incentive compatibility in a Bayesian environment and exact interim incentive compatibility in the presence of a small degree of ambiguity. We then apply our result to the implementation of efficient allocations. In particular, we identify three economic settings---including ones in which approximately efficient allocations are implementable, ones in which agents are informationally small, and large double auctions---in which efficient allocations are approximately locally implementable when agents are Bayesian. Applying our result to those settings, we conclude that efficient allocations are exactly implementable when agents perceive a small degree of ambiguity.
Keywords: approximate local incentive compatibility, ambiguity aversion, efficiency, informational size, modified VCG mechanism, double auction.
JEL Classification: D61, D82
Suggested Citation: Suggested Citation