Abstract
This chapter generalizes the subjective expected utility model of the preceding chapter to situations in which the set S of states is any nonempty set. The finite and denumerable cases considered earlier implicitly took ℐ as the set of all subsets of S. Here we let ℐ denote any Boolean algebra of subsets of S, with the set of all subsets of S denoted by 2s. A partition of S is said to be measurable if each subset A of S in the partition is an element in ℐ. Hence, when ℐ = 2s, all partitions of S are measurable.
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© 1982 Springer Science+Business Media Dordrecht
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Fishburn, P.C. (1982). Subjective Expected Utility for Arbitrary State Sets. In: The Foundations of Expected Utility. Theory and Decision Library, vol 31. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3329-8_10
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DOI: https://doi.org/10.1007/978-94-017-3329-8_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-8373-9
Online ISBN: 978-94-017-3329-8
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