{"title":"知识、意识和概率信念","authors":"Tomasz Sadzik","doi":"10.1515/BEJTE-2019-0014","DOIUrl":null,"url":null,"abstract":"Abstract Bayesian game theory investigates strategic interaction of players with full awareness but incomplete information about their environment. We extend the analysis to players with incomplete awareness, who might not be able to reason about all contingencies in the first place. We develop three logical systems for knowledge, probabilistic beliefs and awareness, and characterize their axiom systems. Bayesian equilibrium is extended to games with incomplete awareness and we show that it is consistent with common prior and speculative trade, when common knowledge of rationality is violated.","PeriodicalId":44773,"journal":{"name":"B E Journal of Theoretical Economics","volume":"21 1","pages":"489 - 524"},"PeriodicalIF":0.3000,"publicationDate":"2021-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/BEJTE-2019-0014","citationCount":"2","resultStr":"{\"title\":\"Knowledge, Awareness and Probabilistic Beliefs\",\"authors\":\"Tomasz Sadzik\",\"doi\":\"10.1515/BEJTE-2019-0014\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract Bayesian game theory investigates strategic interaction of players with full awareness but incomplete information about their environment. We extend the analysis to players with incomplete awareness, who might not be able to reason about all contingencies in the first place. We develop three logical systems for knowledge, probabilistic beliefs and awareness, and characterize their axiom systems. Bayesian equilibrium is extended to games with incomplete awareness and we show that it is consistent with common prior and speculative trade, when common knowledge of rationality is violated.\",\"PeriodicalId\":44773,\"journal\":{\"name\":\"B E Journal of Theoretical Economics\",\"volume\":\"21 1\",\"pages\":\"489 - 524\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2021-02-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1515/BEJTE-2019-0014\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"B E Journal of Theoretical Economics\",\"FirstCategoryId\":\"96\",\"ListUrlMain\":\"https://doi.org/10.1515/BEJTE-2019-0014\",\"RegionNum\":4,\"RegionCategory\":\"经济学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"ECONOMICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"B E Journal of Theoretical Economics","FirstCategoryId":"96","ListUrlMain":"https://doi.org/10.1515/BEJTE-2019-0014","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ECONOMICS","Score":null,"Total":0}
Abstract Bayesian game theory investigates strategic interaction of players with full awareness but incomplete information about their environment. We extend the analysis to players with incomplete awareness, who might not be able to reason about all contingencies in the first place. We develop three logical systems for knowledge, probabilistic beliefs and awareness, and characterize their axiom systems. Bayesian equilibrium is extended to games with incomplete awareness and we show that it is consistent with common prior and speculative trade, when common knowledge of rationality is violated.
期刊介绍:
We welcome submissions in all areas of economic theory, both applied theory and \"pure\" theory. Contributions can be either innovations in economic theory or rigorous new applications of existing theory. Pure theory papers include, but are by no means limited to, those in behavioral economics and decision theory, game theory, general equilibrium theory, and the theory of economic mechanisms. Applications could encompass, but are by no means limited to, contract theory, public finance, financial economics, industrial organization, law and economics, and labor economics.