{"title":"A Class of N-Player Colonel Blotto Games with Multidimensional Private Information","authors":"Christian Ewerhart, D. Kovenock","doi":"10.2139/ssrn.3487546","DOIUrl":null,"url":null,"abstract":"Abstract In this paper, we study N -player Colonel Blotto games with incomplete information about battlefield valuations. Such games arise in job markets, research and development, electoral competition, security analysis, and conflict resolution. For M ≥ N + 1 battlefields, we identify a Bayes-Nash equilibrium in which the resource allocation to a given battlefield is strictly monotone in the valuation of that battlefield. We also explore extensions such as heterogeneous budgets, the case M ≤ N , full-support type distributions, and network games.","PeriodicalId":373527,"journal":{"name":"PSN: Game Theory (Topic)","volume":"39 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"PSN: Game Theory (Topic)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2139/ssrn.3487546","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 6
Abstract
Abstract In this paper, we study N -player Colonel Blotto games with incomplete information about battlefield valuations. Such games arise in job markets, research and development, electoral competition, security analysis, and conflict resolution. For M ≥ N + 1 battlefields, we identify a Bayes-Nash equilibrium in which the resource allocation to a given battlefield is strictly monotone in the valuation of that battlefield. We also explore extensions such as heterogeneous budgets, the case M ≤ N , full-support type distributions, and network games.
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