TITLE:
Action-Independent Subjective Expected Utility without States of the World
AUTHORS:
Andreas Duus Pape
KEYWORDS:
Subjective Expected Utility; States of the World; Action Independence
JOURNAL NAME:
Theoretical Economics Letters,
Vol.3 No.5B,
September
24,
2013
ABSTRACT: This paper develops an axiomatic theory of decision-making under uncertainty that has no state-space. The choice setting follows Karni [1,2]: a set of effects (outcomes), a set of actions which induce these effects, and a set of real-valued bets over effects. In Karni’s representation, a preference over action/bet pairs yields utility, which is action-dependent. In our representation, utility is action-independent. This is achieved by augmenting Karni’s choice set with lotteries over actions. Identification is achieved similarly to Anscombe-Aumann [3], in which there are objective “roulette” lotteries over subjective “horse race” lotteries.