  Expected Utility: Algebraic Expected Utility In this paper, we provide two
axiomatizations of algebraic expected utility, which is a particular
generalized expected utility, in a von Neumann-Morgenstern setting, i.e.
uncertainty representation is supposed to be given and here to be described by
a plausibility measure valued on a semiring, which could be partially ordered.
We show that axioms identical to those for expected utility entail that
preferences are represented by an algebraic expected utility. This algebraic
approach allows many previous propositions (expected utility, binary
possibilistic utility,...) to be unified in a same general framework and proves
that the obtained utility enjoys the same nice features as expected utility:
linearity, dynamic consistency, autoduality of the underlying uncertainty
measure, autoduality of the decision criterion and possibility of modeling
decision maker's attitude toward uncertainty.
