| Abstract: | Techniques for the analysis of payoff matrices with “imprecise” assessment of state probabilities are applied to the analysis of decision trees in normal form. The analytical techniques, due to Peter Fishburn, are summarized and then illustrated by analyzing two decision trees. Problem I, a two state problem, provides geometrical analogs for the two most “imprecise” probability assessments and simple analytical and geometrical analogs for the least “imprecise” probability assessment. Problem II, a three state problem, illustrates the application of all four precision levels, from most “imprecise” through least “imprecise.” |
