{"title":"On the solvability of three-agent task allocation with unqualified agents priority structures","authors":"Yu Gu, Yongchao Zhang","doi":"10.1007/s10058-023-00346-6","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we study the problem of solvability for task allocation with unqualified agents (TAU) priority structures proposed by Ehlers and Westkamp (Theor Econ 13:1009-1041, 2018). In the TAU priority structure, at any position, either all agents have equal priority, or there exists exactly one agent who has the lowest priority and all others have equal highest priority. A priority structure is solvable if it admits a constrained efficient and strategy-proof mechanism, where a constrained efficient mechanism always produces a stable matching which can not be Pareto dominated by any other stable matching. We show that TAU priority structures with three agents are solvable via a top trading cycles mechanism with endogenous tie-breaking rules.\n</p>","PeriodicalId":44537,"journal":{"name":"Review of Economic Design","volume":"3 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2023-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Review of Economic Design","FirstCategoryId":"96","ListUrlMain":"https://doi.org/10.1007/s10058-023-00346-6","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ECONOMICS","Score":null,"Total":0}
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Abstract
In this paper, we study the problem of solvability for task allocation with unqualified agents (TAU) priority structures proposed by Ehlers and Westkamp (Theor Econ 13:1009-1041, 2018). In the TAU priority structure, at any position, either all agents have equal priority, or there exists exactly one agent who has the lowest priority and all others have equal highest priority. A priority structure is solvable if it admits a constrained efficient and strategy-proof mechanism, where a constrained efficient mechanism always produces a stable matching which can not be Pareto dominated by any other stable matching. We show that TAU priority structures with three agents are solvable via a top trading cycles mechanism with endogenous tie-breaking rules.
期刊介绍：
Review of Economic Design comprises the creative art and science of inventing, analyzing and testing economic as well as social and political institutions and mechanisms aimed at achieving individual objectives and social goals. In this age of Economic Design, the accumulated traditions and wealth of knowledge in normative and positive economics and the strategic analysis of game theory are applied with novel ideas in the creative tasks of designing and assembling diverse legal-economic instruments. These include constitutions and other assignments of rights, mechanisms for allocation or regulation, tax and incentive schemes, contract forms, voting and other choice aggregation procedures, markets, auctions, organizational forms, such as partnerships, together with supporting membership and other property rights, and information systems. These designs, the methods of analysis used in their scrutiny, as well as the mathematical techniques and empirical knowledge they employ, along with comparative assessments of the performance of known economic systems and implemented designs, all of these form natural components of the subject matter of Economic Design.
Officially cited as: Rev Econ Design
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