Chapter 13 (Part A) - Decision Analysis Flashcards
In this topic: - Problem Formulation - Decision Making without Probabilities - Decision Making with Probabilities - Risk Analysis and Sensitivity Analysis - Decision Analysis with Sample Information - Computing Branch Probabilities
Can be used to develop an optimal strategy when a decision maker is faced with several decision alternatives and an uncertain or risk-filled pattern of future events; Even when a careful ——– ——– has been conducted, the uncertain future events make the final consequence uncertain; The risk associated with any decision alternative is a direct result of the uncertainty associated with the final consequence.
Decision Analysis
Good decision analysis includes —- ——– that provides probability information about the favorable as well as the unfavorable consequences that may occur.
Risk Analysis
A decision problem is characterized by decision alternatives, states of nature, and resulting payoffs.
Problem Formulation
Are the different possible strategies that decision maker can employ.
Decision Alternatives
Refer to future events, not under the control of the decision maker, which may occur; Should be defined so that they are mutually exclusive and collectively exhaustive.
States of Nature
Is a graphical device showing the relationships among the decisions, the chance events, and the consequences.
Influence Diagram
Depict decision nodes.
Squares or Rectangles
Depict chance nodes.
Circles or Ovals
Depict consequence nodes.
Diamonds
Connecting the nodes show the direction of influence.
Lines or Arcs
The consequence resulting from a specific combination of a decision alternative and a state of nature is a:
Payoff
A table showing payoffs for all combinations of decision alternatives and states of nature is a:
Payoff Table
Payoffs can be expressed in terms of: (4)
- Profit
- Cost
- Time
- Distance
Or any other appropriate measure.
Three commonly used criteria for decision making when probability information regarding the likelihood of the states of nature is unavailable are: (3)
- Optimistic Approach
- Conservative Approach
- Minimax Regret Approach
Would be used by an optimistic decision maker.
Optimistic Approach
Chosen in Optimistic Approach:
Decision with the Largest Possible Payoff
If the payoff table was in terms of cost, this would be chosen:
Decision with the Lowest Cost
Would be used by a conservative decision maker.
Conservative Approach
For each decision the minimum payoff is listed and then the decision corresponding to the maximum of these minimum payoffs is selected.
Minimum Possible Payoff is Maximized
If the payoff was in terms of costs, the maximum costs would be determined for each decision and then the decision corresponding to the minimum of these maximum costs is selected.
Maximum Possible Cost is Minimized
The minimax regret approach requires the construction of a:
This is done by calculating for each state of nature the difference between each payoff and the largest payoff for that state of nature; Then using this, the maximum regret for each possible decision is listed.
Regret Table/Opportunity Loss Table
The decision chosen is the one corresponding to the: (Minimax Regret Approach)
Minimum of the Maximum Regrets
If probabilistic information regarding the states of nature is available, one may use the:
Here the expected return for each decision is calculated by summing the products of the payoff under each state of nature occurring. The decision yielding the best expected return is chosen.
Expected Value (EV) Approach
Is the sum of weighted payoffs for the decision alternative.
Expected Value of a Decision Alternative