{"title":"Project selection with partially verifiable information","authors":"Sumit Goel , Wade Hann-Caruthers","doi":"10.1016/j.mathsocsci.2024.10.003","DOIUrl":null,"url":null,"abstract":"<div><div>We study a principal–agent project selection problem with asymmetric information. The principal must choose exactly one of <span><math><mi>N</mi></math></span> projects, each defined by the utility it provides to the principal and to the agent. The agent knows all the utilities, and the principal can commit to a mechanism (without transfers) that maps the agent’s report about the utilities to a chosen project. Unlike the typical literature, which assumes the agent can lie arbitrarily, we examine the principal’s problem under partial verifiability constraints. We characterize the class of truthful mechanisms under a family of partial verifiability constraints and study the principal’s problem for the specific cases of no-overselling and no-underselling. Our results suggest significant benefits for the principal from identifying or inducing such partial verifiability constraints, while also highlighting the simple mechanisms that perform well.</div></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"132 ","pages":"Pages 105-113"},"PeriodicalIF":0.5000,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Social Sciences","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S016548962400091X","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
We study a principal–agent project selection problem with asymmetric information. The principal must choose exactly one of projects, each defined by the utility it provides to the principal and to the agent. The agent knows all the utilities, and the principal can commit to a mechanism (without transfers) that maps the agent’s report about the utilities to a chosen project. Unlike the typical literature, which assumes the agent can lie arbitrarily, we examine the principal’s problem under partial verifiability constraints. We characterize the class of truthful mechanisms under a family of partial verifiability constraints and study the principal’s problem for the specific cases of no-overselling and no-underselling. Our results suggest significant benefits for the principal from identifying or inducing such partial verifiability constraints, while also highlighting the simple mechanisms that perform well.
我们研究的是一个信息不对称的委托代理项目选择问题。委托人必须从 N 个项目中准确地选择一个,每个项目由它为委托人和代理人提供的效用所决定。代理人知道所有的效用,而委托人可以承诺采用一种机制(无需转让),将代理人关于效用的报告映射到所选项目上。与假定代理人可以任意撒谎的典型文献不同,我们研究的是部分可验证性约束下的委托人问题。我们描述了一系列部分可验证性约束条件下的真实机制,并研究了无过度销售和无遗漏销售等特定情况下的委托人问题。我们的结果表明,识别或诱导这类部分可验证性约束对委托人大有裨益,同时也强调了表现良好的简单机制。
期刊介绍:
The international, interdisciplinary journal Mathematical Social Sciences publishes original research articles, survey papers, short notes and book reviews. The journal emphasizes the unity of mathematical modelling in economics, psychology, political sciences, sociology and other social sciences.
Topics of particular interest include the fundamental aspects of choice, information, and preferences (decision science) and of interaction (game theory and economic theory), the measurement of utility, welfare and inequality, the formal theories of justice and implementation, voting rules, cooperative games, fair division, cost allocation, bargaining, matching, social networks, and evolutionary and other dynamics models.
Papers published by the journal are mathematically rigorous but no bounds, from above or from below, limits their technical level. All mathematical techniques may be used. The articles should be self-contained and readable by social scientists trained in mathematics.