{"title":"最后通牒议价中的单调性","authors":"Jack Robles","doi":"10.1016/j.jmateco.2025.103154","DOIUrl":null,"url":null,"abstract":"<div><div>We study ultimatum bargaining games with asymmetric information regarding disagreement payoffs. Results from Mensch (2020a) are used to find conditions under which a monotonic Perfect Bayesian Equilibrium exists in these games. A standard single crossing assumption implies the existence when the action space is discrete. Stronger assumptions are required when continuum demands are allowed.</div></div>","PeriodicalId":50145,"journal":{"name":"Journal of Mathematical Economics","volume":"120 ","pages":"Article 103154"},"PeriodicalIF":1.0000,"publicationDate":"2025-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Monotonicity in Ultimatum Bargaining\",\"authors\":\"Jack Robles\",\"doi\":\"10.1016/j.jmateco.2025.103154\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We study ultimatum bargaining games with asymmetric information regarding disagreement payoffs. Results from Mensch (2020a) are used to find conditions under which a monotonic Perfect Bayesian Equilibrium exists in these games. A standard single crossing assumption implies the existence when the action space is discrete. Stronger assumptions are required when continuum demands are allowed.</div></div>\",\"PeriodicalId\":50145,\"journal\":{\"name\":\"Journal of Mathematical Economics\",\"volume\":\"120 \",\"pages\":\"Article 103154\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2025-07-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Economics\",\"FirstCategoryId\":\"96\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0304406825000710\",\"RegionNum\":4,\"RegionCategory\":\"经济学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ECONOMICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Economics","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0304406825000710","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ECONOMICS","Score":null,"Total":0}
We study ultimatum bargaining games with asymmetric information regarding disagreement payoffs. Results from Mensch (2020a) are used to find conditions under which a monotonic Perfect Bayesian Equilibrium exists in these games. A standard single crossing assumption implies the existence when the action space is discrete. Stronger assumptions are required when continuum demands are allowed.
期刊介绍:
The primary objective of the Journal is to provide a forum for work in economic theory which expresses economic ideas using formal mathematical reasoning. For work to add to this primary objective, it is not sufficient that the mathematical reasoning be new and correct. The work must have real economic content. The economic ideas must be interesting and important. These ideas may pertain to any field of economics or any school of economic thought.