Decision Tree Analysis

Thinking Tools5.2 Selecting the Right Decision ToolsAlso known as Expected Value Decision Trees

Developed by Howard Raiffa and Robert Schlaifer (Applied Statistical Decision Theory, 1961) and Ronald A. Howard (Decision Analysis: Applied Decision Theory, 1966), on the expected-utility theory of John von Neumann and Oskar Morgenstern (Theory of Games and Economic Behavior, 1944).

Draws the choices and chance events of a decision as branches, puts a probability and value on each, and rolls them back to compare options by expected value.

When to reach for it

Go or no-go, pricing, or investment decisions that depend on uncertain events whose odds and payoffs can be estimated.

How it runs

  1. Draw each decision as a square node.
  2. Branch the chance events that follow as circles.
  3. Assign probabilities to each chance branch and values to each outcome.
  4. Roll back from the right, averaging at chance nodes.
  5. Take the best branch at each decision node.
  6. Vary the key estimates to see where the answer flips.

Where it sits in SOLVE eX

Go to the source

  • Applied Statistical Decision Theory, 1961
  • Decision Analysis: Applied Decision Theory, 1966
  • Theory of Games and Economic Behavior, 1944

Back to the catalog