{"title":"Pathologies of iterated strict dominance revisited","authors":"Xuewen Qian, Chen Qu","doi":"10.1016/j.econlet.2025.112178","DOIUrl":null,"url":null,"abstract":"<div><div>We revisit two pathologies of iterated elimination of strictly dominated strategies (IESDS) in infinite games: spurious Nash equilibria and order dependence. By introducing bounded dominance relations (Hsieh et al., 2023), we demonstrate that a bounded version of IESDS mitigates the former issue and is neutral to the latter. The second point is illustrated through a series of examples using ordinals. We also provide a sufficient and necessary condition for the non-existence of spurious Nash equilibria.</div></div>","PeriodicalId":11468,"journal":{"name":"Economics Letters","volume":"247 ","pages":"Article 112178"},"PeriodicalIF":2.1000,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Economics Letters","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0165176525000151","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ECONOMICS","Score":null,"Total":0}
引用次数: 0
Abstract
We revisit two pathologies of iterated elimination of strictly dominated strategies (IESDS) in infinite games: spurious Nash equilibria and order dependence. By introducing bounded dominance relations (Hsieh et al., 2023), we demonstrate that a bounded version of IESDS mitigates the former issue and is neutral to the latter. The second point is illustrated through a series of examples using ordinals. We also provide a sufficient and necessary condition for the non-existence of spurious Nash equilibria.
期刊介绍:
Many economists today are concerned by the proliferation of journals and the concomitant labyrinth of research to be conquered in order to reach the specific information they require. To combat this tendency, Economics Letters has been conceived and designed outside the realm of the traditional economics journal. As a Letters Journal, it consists of concise communications (letters) that provide a means of rapid and efficient dissemination of new results, models and methods in all fields of economic research.