{"title":"Robust dynamic contracts with multiple agents","authors":"Yingjie Niu , Zhentao Zou","doi":"10.1016/j.geb.2024.09.012","DOIUrl":null,"url":null,"abstract":"<div><div>We develop a continuous-time dynamic multi-agent contracting model in which the principal is unsure about the distributions of the project's terminal payoffs and worries about model misspecification. With model uncertainty, workers' wages depend on the outputs of other unrelated projects and the optimal contracts exhibit overdetermination. We demonstrate an inverse U-shaped relationship between the extent of overdetermination and group size. Moreover, model uncertainty induces wage compression, especially in small firms as the empirical evidence demonstrates. Finally, expanding the group size increases the average project value by mitigating the negative impacts of ambiguity.</div></div>","PeriodicalId":48291,"journal":{"name":"Games and Economic Behavior","volume":"148 ","pages":"Pages 196-217"},"PeriodicalIF":1.0000,"publicationDate":"2024-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Games and Economic Behavior","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0899825624001453","RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ECONOMICS","Score":null,"Total":0}
引用次数: 0
Abstract
We develop a continuous-time dynamic multi-agent contracting model in which the principal is unsure about the distributions of the project's terminal payoffs and worries about model misspecification. With model uncertainty, workers' wages depend on the outputs of other unrelated projects and the optimal contracts exhibit overdetermination. We demonstrate an inverse U-shaped relationship between the extent of overdetermination and group size. Moreover, model uncertainty induces wage compression, especially in small firms as the empirical evidence demonstrates. Finally, expanding the group size increases the average project value by mitigating the negative impacts of ambiguity.
我们建立了一个连续时间动态多代理合同模型,在这个模型中,委托人不确定项目最终收益的分布,并担心模型的错误规范。在模型不确定的情况下,工人的工资取决于其他无关项目的产出,最优合同表现出过度确定性。我们证明了过度决定的程度与群体规模之间的反 U 型关系。此外,正如经验证据所证明的那样,模型的不确定性会导致工资压缩,尤其是在小企业中。最后,扩大集团规模可以减轻不确定性的负面影响,从而增加项目的平均价值。
期刊介绍:
Games and Economic Behavior facilitates cross-fertilization between theories and applications of game theoretic reasoning. It consistently attracts the best quality and most creative papers in interdisciplinary studies within the social, biological, and mathematical sciences. Most readers recognize it as the leading journal in game theory. Research Areas Include: • Game theory • Economics • Political science • Biology • Computer science • Mathematics • Psychology