Lexicographic Robustness and the Efficiency of Optimal Mechanisms

Fuente: arXiv
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Autor principal: Kambhampati, Ashwin
Formato: Preprint
Publicado: 2026
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author Kambhampati, Ashwin
author_facet Kambhampati, Ashwin
contents A central challenge in mechanism design is to identify mechanisms whose performance is robust under uncertainty about the environment. The maxmin optimality criterion is commonly used for this purpose, but it often yields a large and economically uninformative set of mechanisms. This paper proposes a lexicographic approach to refining the maxmin criterion and characterizes the efficiency of optimal mechanisms. In canonical screening and auction environments, the strongest refinement $\unicode{x2013}$ proper robustness $\unicode{x2013}$ selects ex post efficient mechanisms. By contrast, in a public good provision environment, it identifies the precise form of optimal inefficiencies, which become severe in large economies.
format Preprint
id arxiv_https___arxiv_org_abs_2604_06105
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Lexicographic Robustness and the Efficiency of Optimal Mechanisms
Kambhampati, Ashwin
Theoretical Economics
A central challenge in mechanism design is to identify mechanisms whose performance is robust under uncertainty about the environment. The maxmin optimality criterion is commonly used for this purpose, but it often yields a large and economically uninformative set of mechanisms. This paper proposes a lexicographic approach to refining the maxmin criterion and characterizes the efficiency of optimal mechanisms. In canonical screening and auction environments, the strongest refinement $\unicode{x2013}$ proper robustness $\unicode{x2013}$ selects ex post efficient mechanisms. By contrast, in a public good provision environment, it identifies the precise form of optimal inefficiencies, which become severe in large economies.
title Lexicographic Robustness and the Efficiency of Optimal Mechanisms
topic Theoretical Economics
url https://arxiv.org/abs/2604.06105