New Constructions of Obviously Strategyproof Mechanisms

• 成果类型: Article
• 署名作者: Ferraioli, Diodato; Meier, Adrian; Penna, Paolo; Ventre, Carmine
• 署名单位: University of Salerno; Swiss Federal Institutes of Technology Domain; ETH Zurich; University of London; King's College London
• 刊物名称: MATHEMATICS OF OPERATIONS RESEARCH
• ISSN/ISSBN: 0364-765X
• DOI: 10.1287/moor.2022.1264
• 发表日期: 2023
• 页码: 332-362
• 关键词: Auctions; DESIGN

摘要

Catering to the incentives of people with limited rationality is a challenging research direction that requires novel paradigms to design mechanisms. Obviously strategy-proof (OSP) mechanisms have recently emerged as the concept of interest to this research agenda. However, the majority of the literature in the area has either highlighted the shortcomings of OSP or focused on the right definition rather than on the construction of these mechanisms. Here, we give the first set of tight results on the approximation guarantee of OSP mechanisms for scheduling related machines and a characterization of set system instances for which OSP mechanisms that return optimal solutions exist. By extending the well-known cycle monotonicity technique, we are able to concentrate on the algorithmic component of OSP mechanisms and provide some novel paradigms for their design, when private types belong to a set with few values. In essence, we prove that OSP encompasses careful interleaving of ascending and descending auctions.