{"paper":{"title":"Beyond Regularity: Simple versus Optimal Mechanisms, Revisited","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["econ.TH","math.ST","stat.TH"],"primary_cat":"cs.GT","authors_text":"Yaonan Jin, Yiding Feng","submitted_at":"2024-11-06T00:48:20Z","abstract_excerpt":"A large proportion of the Bayesian mechanism design literature is restricted to the family of regular distributions $\\mathbb{F}_{\\tt reg}$ [Mye81] or the family of monotone hazard rate (MHR) distributions $\\mathbb{F}_{\\tt MHR}$ [BMP63], which overshadows this beautiful and well-developed theory. We (re-)introduce two generalizations, the family of quasi-regular distributions $\\mathbb{F}_{\\tt Q-reg}$ and the family of quasi-MHR distributions $\\mathbb{F}_{\\tt Q-MHR}$. All four families together form the following hierarchy: $\\mathbb{F}_{\\tt MHR} \\subsetneq (\\mathbb{F}_{\\tt reg} \\cap \\mathbb{F}_{"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.03583","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.03583/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}