{"title":"Move orders in contests: Equilibria and winning chances","authors":"Lei Gao , Jingfeng Lu , Zhewei Wang","doi":"10.1016/j.geb.2025.02.003","DOIUrl":null,"url":null,"abstract":"<div><div>This paper studies general two-player sequential-move competitions, accommodating a full spectrum of Tullock contest technology and contestants' asymmetry. We provide necessary and sufficient conditions for a preemptive equilibrium to prevail in both strong-lead and weak-lead contests, and discover a characteristic equation to pin down the players' effort ratio (which fully determines their winning chances) and their effort levels when a non-preemptive equilibrium prevails. We find that while the strong player always has a higher winning chance when moving first, simultaneous moves sometimes maximize the weak player's winning odds. We further allow the move orders endogenous through winning-odd-maximizing coaches' independent choices.</div></div>","PeriodicalId":48291,"journal":{"name":"Games and Economic Behavior","volume":"150 ","pages":"Pages 436-468"},"PeriodicalIF":1.0000,"publicationDate":"2025-02-11","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/S0899825625000168","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
This paper studies general two-player sequential-move competitions, accommodating a full spectrum of Tullock contest technology and contestants' asymmetry. We provide necessary and sufficient conditions for a preemptive equilibrium to prevail in both strong-lead and weak-lead contests, and discover a characteristic equation to pin down the players' effort ratio (which fully determines their winning chances) and their effort levels when a non-preemptive equilibrium prevails. We find that while the strong player always has a higher winning chance when moving first, simultaneous moves sometimes maximize the weak player's winning odds. We further allow the move orders endogenous through winning-odd-maximizing coaches' independent choices.
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
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