{"title":"Jump bidding in the war of attrition","authors":"Wei Bi , Huiyun Ding","doi":"10.1016/j.mathsocsci.2025.102432","DOIUrl":null,"url":null,"abstract":"<div><div>This paper studies jump bidding in a war of attrition, where a bidder makes a costly preemptive commitment to deter opponents. We identify a Double-Edged Sword Effect: while jump bidding increases early-stage costs for the jump bidder, it enhances her ability to deter high-valuation opponents in later stages. The bidder jump bids when she believes that her opponent is likely to have a high valuation and not quit soon, such as when the valuation distribution is convex or bounded away from zero. Although jump bidding may result in inefficient allocation, it reduces total attrition costs and can improve overall welfare ex ante.</div></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"136 ","pages":"Article 102432"},"PeriodicalIF":0.5000,"publicationDate":"2025-07-01","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/S0165489625000472","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 jump bidding in a war of attrition, where a bidder makes a costly preemptive commitment to deter opponents. We identify a Double-Edged Sword Effect: while jump bidding increases early-stage costs for the jump bidder, it enhances her ability to deter high-valuation opponents in later stages. The bidder jump bids when she believes that her opponent is likely to have a high valuation and not quit soon, such as when the valuation distribution is convex or bounded away from zero. Although jump bidding may result in inefficient allocation, it reduces total attrition costs and can improve overall welfare ex ante.
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.