{"title":"The dynamics of bargaining power in a principal-agent model","authors":"Sonia Di Giannatale , Itza Tlaloc Quetzalcoatl Curiel-Cabral , Genaro Basulto","doi":"10.1016/j.mathsocsci.2025.102452","DOIUrl":null,"url":null,"abstract":"<div><div>This article develops a dynamic principal–agent model that integrates bargaining power as an evolving state variable, governed by a bargaining drift coefficient that links its trajectory to firm performance and agent compensation. The model examines how initial bargaining power shapes salary trajectories and how bargaining drift influences its adaptation over time in response to performance outcomes. By modeling these dynamics, the study highlights the role of incentives in driving the evolution of bargaining power, emphasizing the long-term impact of initial conditions on compensation structures. A key contribution is the formulation of an empirical equation that connects agent compensation and performance with bargaining drift, offering a framework for real-world validation. Beyond CEO pay, the framework extends to other performance-based environments, such as sports and academia, where shifting power relationships shape long-term contracts. By introducing a computational algorithm for multiobjective optimization, the study enhances the practical implementation of bargaining power dynamics, offering valuable insights for both theoretical modeling and governance applications.</div></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"138 ","pages":"Article 102452"},"PeriodicalIF":0.7000,"publicationDate":"2025-08-09","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/S0165489625000678","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 article develops a dynamic principal–agent model that integrates bargaining power as an evolving state variable, governed by a bargaining drift coefficient that links its trajectory to firm performance and agent compensation. The model examines how initial bargaining power shapes salary trajectories and how bargaining drift influences its adaptation over time in response to performance outcomes. By modeling these dynamics, the study highlights the role of incentives in driving the evolution of bargaining power, emphasizing the long-term impact of initial conditions on compensation structures. A key contribution is the formulation of an empirical equation that connects agent compensation and performance with bargaining drift, offering a framework for real-world validation. Beyond CEO pay, the framework extends to other performance-based environments, such as sports and academia, where shifting power relationships shape long-term contracts. By introducing a computational algorithm for multiobjective optimization, the study enhances the practical implementation of bargaining power dynamics, offering valuable insights for both theoretical modeling and governance applications.
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.