Here are the basic technical
details for building the decision tree for your situation:
- Identify the decisions or
actions and outcomes, results, or chance
events that are relevant to your situation. Decisions can be followed by other decisions.
Decisions, ultimately, have outcomes. Relate each decision to its possible outcomes or results.
- Determine all the possible sequences of decisions and
outcomes. It is best to draw the decision tree for your
situation on a sheet of paper showing these sequences. Label
the nodes of the tree N1, N2, N3, etc., where N1 is the start or root node. Each
node on the tree can be a decision node or an outcome node. Decision nodes are
followed by decisions, and outcome nodes by outcomes.
- For each decision, determine its cost (loss) or
benefit, if any. If you do not know its exact cost or benefit, estimate or determine a
possible range for the cost or benefit.
- For each intermediate outcome, specify the
probability of the outcome's occurrence, and any associated cost or benefit. Note that the sum of the probabilities of all the possible outcomes that branch out
of an outcome node must add to 100%.
- For each final outcome, specify its payoff
and the associated probability. If you do not know the exact payoff, estimate it,
or determine its possible range.
In financial decisions, you can measure costs, benefits,
and payoffs in terms of dollars, deutsche marks, francs, yen, yuans, liras, pesos, etc.
Where monetary values are not appropriate, you can use utilities. For example, in
choosing between surgical or medical management of coronary heart disease, you can use quality-adjusted
life years.1
When your decisions span more than a few months, all costs,
benefits, and payoffs must be appropriately discounted, using the appropriate discount
rate.2
When you specify ranges for costs, benefits, or payoffs, we
can conduct what is called a sensitivity analysis.
Such analysis shows how the EMVs or expected utilities of the nodes vary with simultaneous
changes in costs, benefits, and payoffs. Costs, benefits, and payoffs are varied simultaneously,
from their initial values to their final values.
Once you have completed the above steps, you have the
KNOWLEDGE BASE of your Decision Tree.
Sources:
1 See Milton C. Weinstein, Harvey V. Fineberg, et al. Clinical Decision
Analysis. Philadelphia, PA: W.B. Saunders Company, 1980, at 215-220 [Outcomes With
Multiple Attributes: Trade-Offs Between Longevity And Quality Of Life].
2 See, for example, P.G. Moore and H. Thomas. The Anatomy of Decisions.
P.G. Moore, H. Thomas, 1976. New York, NY: Penguin Books Ltd., at 32.
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