{"title":"Allocation without transfers: a welfare-maximizing mechanism under incomplete information","authors":"Ethem Akyol","doi":"10.1007/s00355-024-01552-z","DOIUrl":null,"url":null,"abstract":"<p>This paper studies the allocation of multiple copies of indivisible objects to agents with multi-object demands in the absence of monetary transfers. We look for a welfare-maximizing ordinal mechanism in an incomplete information setting where agents’ preferences are <i>privately</i> known. Our main finding establishes the significant welfare gains of the so-called Ranking mechanism. When each agent’s type (values for objects) is independently drawn from an exchangeable distribution, the Ranking mechanism yields higher interim utility for all agents compared to<i> any</i> symmetric equilibrium of <i>any</i> other symmetric ordinal mechanism, regardless of the agents’ cardinal values.</p>","PeriodicalId":47663,"journal":{"name":"Social Choice and Welfare","volume":"32 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Social Choice and Welfare","FirstCategoryId":"96","ListUrlMain":"https://doi.org/10.1007/s00355-024-01552-z","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ECONOMICS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper studies the allocation of multiple copies of indivisible objects to agents with multi-object demands in the absence of monetary transfers. We look for a welfare-maximizing ordinal mechanism in an incomplete information setting where agents’ preferences are privately known. Our main finding establishes the significant welfare gains of the so-called Ranking mechanism. When each agent’s type (values for objects) is independently drawn from an exchangeable distribution, the Ranking mechanism yields higher interim utility for all agents compared to any symmetric equilibrium of any other symmetric ordinal mechanism, regardless of the agents’ cardinal values.
期刊介绍:
Social Choice and Welfare explores all aspects, both normative and positive, of welfare economics, collective choice, and strategic interaction. Topics include but are not limited to: preference aggregation, welfare criteria, fairness, justice and equity, rights, inequality and poverty measurement, voting and elections, political games, coalition formation, public goods, mechanism design, networks, matching, optimal taxation, cost-benefit analysis, computational social choice, judgement aggregation, market design, behavioral welfare economics, subjective well-being studies and experimental investigations related to social choice and voting. As such, the journal is inter-disciplinary and cuts across the boundaries of economics, political science, philosophy, and mathematics. Articles on choice and order theory that include results that can be applied to the above topics are also included in the journal. While it emphasizes theory, the journal also publishes empirical work in the subject area reflecting cross-fertilizing between theoretical and empirical research. Readers will find original research articles, surveys, and book reviews.Officially cited as: Soc Choice Welf