{"title":"Continuity and catastrophic risk","authors":"H. Stefánsson","doi":"10.1017/S0266267121000146","DOIUrl":null,"url":null,"abstract":"Abstract Suppose that a decision-maker’s aim, under certainty, is to maximize some continuous value, such as lifetime income or continuous social welfare. Can such a decision-maker rationally satisfy what has been called ‘continuity for easy cases’ while at the same time satisfying what seems to be a widespread intuition against the full-blown continuity axiom of expected utility theory? In this note I argue that the answer is ‘no’: given transitivity and a weak trade-off principle, continuity for easy cases violates the anti-continuity intuition. I end the note by exploring an even weaker continuity condition that is consistent with the aforementioned intuition.","PeriodicalId":51643,"journal":{"name":"Economics and Philosophy","volume":"38 1","pages":"266 - 274"},"PeriodicalIF":1.2000,"publicationDate":"2021-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/S0266267121000146","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Economics and Philosophy","FirstCategoryId":"98","ListUrlMain":"https://doi.org/10.1017/S0266267121000146","RegionNum":2,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ECONOMICS","Score":null,"Total":0}
引用次数: 0
Abstract
Abstract Suppose that a decision-maker’s aim, under certainty, is to maximize some continuous value, such as lifetime income or continuous social welfare. Can such a decision-maker rationally satisfy what has been called ‘continuity for easy cases’ while at the same time satisfying what seems to be a widespread intuition against the full-blown continuity axiom of expected utility theory? In this note I argue that the answer is ‘no’: given transitivity and a weak trade-off principle, continuity for easy cases violates the anti-continuity intuition. I end the note by exploring an even weaker continuity condition that is consistent with the aforementioned intuition.
期刊介绍:
The disciplines of economics and philosophy each possess their own special analytical methods, whose combination is powerful and fruitful. Each discipline can be enriched by the other. Economics and Philosophy aims to promote their mutual enrichment by publishing articles and book reviews in all areas linking these subjects. Topics include the methodology and epistemology of economics, the foundations of decision theory and game theory, the nature of rational choice in general, historical work on economics with a philosophical purpose, ethical issues in economics, the use of economic techniques in ethical theory, and many other subjects.