A computable von Neumann-Morgenstern representation theorem.
Expected utility theory seeks to define rational choice behavior. Given a collection of acts available to some decision maker, expected utility theorists commonly identify the "rational" act as the act which maximizes expected utility (where the expectation is taken with respect to some probability...
| Publicado en: | Synthese Vol. 205; no. 5; pp. 1 - 26 |
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| Formato: | Artículo |
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Springer Nature
May2025
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=184599290&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 184599290 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 00397857 4LI jtl: Synthese issn: 00397857 maglogo: N pubinfo: dt: May2025 vid: 205 iid: 5 pid: 237 pub: Springer Nature artinfo: ui: 184599290 10.1007/s11229-025-04980-1 ppf: 1 ppct: 25 formats: fmt: – @attributes: type: T – @attributes: type: P size: 4MB tig: atl: A computable von Neumann-Morgenstern representation theorem. aug: au: Lopez-Wild, Josiah affil: https://ror.org/04gyf1771 University of California, Irvine, USA Department of Logic and Philosophy of Science, 92617, Irvine, CA, USA su: Utility theory Computable analysis Expected utility Decision theory Probability measures sug: subj: Utility theory Computable analysis Expected utility Decision theory Probability measures keyword: Computability Expected utility theory Representation theorem ab: Expected utility theory seeks to define rational choice behavior. Given a collection of acts available to some decision maker, expected utility theorists commonly identify the "rational" act as the act which maximizes expected utility (where the expectation is taken with respect to some probability measure). The mathematical core of expected utility theory is a representation theorem. These theorems link expected utility maximization to a qualitative description of an agent's choice behavior, captured in a preference relation. We say that an agent's preferences are represented by a utility function and/or probability measure which is derived from the representation theorem. Representation theorems only prove that such a function exists, but do not show how to find it. Thus one may ask: given an agent's preference relation, when can we compute a representing utility function? In this paper I prove a computable version of the von Neumann-Morgenstern representation theorem, answering this question in the affirmative. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Synthese is a copyright of Springer, 2025. All Rights Reserved. item: Synthese holder: Springer Nature dt: @attributes: year: 2025 holdings: @attributes: islocal: N |
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