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022 _a09382259
040 _aMSU
_bEnglish
_cMSU
_erda
050 0 0 _aHB119 ECO
100 1 _aHu, Tai-Wei
_eauthor
245 1 0 _aExpected utility theory from the frequentist perspective
_ccreated by Tai-Wei Hu
264 1 _aBerlin:
_bSpringer,
_c2013
336 _2rdacontent
_atext
_btxt
337 _2rdamedia
_aunmediated
_bn
338 _2rdacarrier
_avolume
_bnc
440 _aEconomic theory
_vVolume 53, number 1
520 3 _aWe present an axiomatization of expected utility from the frequentist perspective. It starts with a preference relation on the set of infinite sequences with limit relative frequencies. We consider three axioms parallel to the ones for the von Neumann–Morgenstern (vN–M) expected utility theory. Limit relative frequencies correspond to probability values in lotteries in the vN–M theory. This correspondence is used to show that each of our axioms is equivalent to the corresponding vN–M axiom in the sense that the former is an exact translation of the latter. As a result, a representation theorem is established: The preference relation is represented by an average of utilities with weights given by the relative frequencies.
650 _aObjective probability
_vExpected utility theory
_xFrequentist theory of probability
650 _aDecision theory
856 _uhttps://doi.org/10.1007/s00199-009-0482-9
942 _2lcc
_cJA
999 _c164617
_d164617