TY  - BOOK
AU  - Hu,Tai-Wei
TI  - Expected utility theory from the frequentist perspective
SN  - 09382259
AV  - HB119 ECO 
PY  - 2013///
CY  - Berlin
PB  - Springer
KW  - Objective probability
KW  - Expected utility theory
KW  - Frequentist theory of probability
KW  - Decision theory
N2  - We 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
UR  - https://doi.org/10.1007/s00199-009-0482-9
ER  -