Clarification of some mathematical misunderstandings about Savage's foundation of statistics, 1954

Authors
  • P. Wakker
Publication date 1993
Journal Mathematical Social Sciences
Volume | Issue number 25 | 2
Pages (from-to) 199-202
Organisations
  • Faculty of Economics and Business (FEB) - Amsterdam School of Economics Research Institute (ASE-RI)
Abstract This note discusses some mathematical misunderstandings about Savage (1954). It is shown that in his model the probability measure cannot be countably additive, that the set of events must be a sigma-algebra and not just an algebra, that Savage did not characterize all atomless finitely additive probability measures, and that the state space in his model, while infinite, does not have to be uncountable.
Document type Article
Language English
Published at https://doi.org/10.1016/0165-4896(93)90053-L
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