Departing from the reduction of compound lotteries axiom on multi-stage lotteries, this paper proposes a new hybrid model to analyze decision trees. Applied to multi-stage decision trees induced by experiments, Blackwell’s (1953) definition of the relation “more informative” on the set of information structures is equivalent to experiments being more valuable to a class of non-expected utility preferences. This result extends Blackwell’s theorem and provides new insights regarding the evaluation of information produced by experiments.
Hybrid Decision Model and the Ranking of Experiments
Edi Karni
and Zvi Safra |
Journal of Mathematical Economics, 2022