Knowledge that Transforms

LET Ω ≡ 1 2 n denote a set of states of nature, n ≥ 3. Let C denote a set of cases, the cardinality of which can be uncountably large. A database I is a function that maps C to Z+ and ∑ j∈C I(j) < ∞, where I(j) denotes the number of observations of case j in the database.1 Let I denote the set of all possible databases. A probabilistic belief function p : I → (Ω) maps databases to probability distributions over Ω. BGSS axiomatized a class of probabilistic belief functions that encapsulates the idea of “similarity-weighted frequencies,” that is, each p in this class admits a representation such that, for every I ∈ I ,

Previous articleNext article FreeOfficers of the SocietyPDFPDF PLUSFull Text Add to favoritesDownload CitationTrack CitationsPermissionsReprints Share onFacebookTwitterLinked InRedditEmailQR Code SectionsMore2019–20 Board of OfficersPresident: Katharine G. Abraham, University of MarylandPresident-Elect: Robert Moffitt, Johns Hopkins UniversityVice President: Kevin Lang, Boston UniversityExecutive Board (2018–20):Martha J. Bailey, University of MichiganCharlie Brown, University of MichiganExecutive Board (2019–21):Uta Schönberg, University College LondonChristopher Taber, University of Wisconsin–MadisonDan Black, University of Chicago and NORC, ex officioPaul Oyer, Stanford University and the Journal of Labor Economics, ex officioSecretary-Treasurer: Maggie NewmanFellows of the Society of Labor EconomistsJohn AbowdKatharine AbrahamDaron AcemogluGeorge AkerlofJoseph AltonjiJoshua AngristOrley AshenfelterDavid AutorGary Becker*Marianne BertrandSandra BlackRebecca BlankFrancine BlauRichard BlundellGeorge BorjasJohn BoundCharles BrownKenneth BurdettGlen Cain*David CardKerwin Kofi CharlesPierre-Andre ChiapporiJanet CurrieSteven J. DavisJohn DiNardo*Christian DustmannRon EhrenbergHenry FarberRichard FreemanVictor FuchsRoland G. FryerRobert GibbonsClaudia GoldinReuben GronauRobert HallJohn HaltiwangerDan HamermeshEric HanushekJames HeckmanV. Joseph HotzCaroline M. HoxbyHilary HoynesGeorge Johnson*Lawrence KahnLawrence KatzJohn KennanAlan Krueger*Robert J. LaLonde*Kevin LangRichard LayardEdward LazearThomas LemieuxShelly LundbergStephen MachinW. Bentley MacLeodThomas MaCurdyAlan ManningMarjorie McElroyCostas MeghirRobert MichaelJacob Mincer*Robert MoffittEnrico MorettiDale Mortensen*Richard MurnaneKevin MurphyDerek NealSteve NickellWalter Oi*John PencavelChristopher PissaridesRobert PollakCanice PrendergastMelvin Reder*Mark RosenzweigKathryn ShawRob ShimerJames SmithJeffrey SmithGary SolonFrank StaffordChris TaberPetra ToddRobert TopelJohn Van ReenenYoram WeissFinis WelchRobert WillisNew Fellows Elected in 2019Ann BartelDan BlackChinhui JuhnFrancis KramarzAlexandre Mas Notes *Deceased. Previous articleNext article DetailsFiguresReferencesCited by Journal of Labor Economics Volume 37, Number 3July 2019 Published for the Society of Labor Economists, Economics Research Center/ NORC Article DOIhttps://doi.org/10.1086/703764 © 2019 by The University of Chicago. All rights reserved.PDF download Crossref reports no articles citing this article.