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

1
Q

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.

A

Decision Analysis

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2
Q

Good decision analysis includes —- ——– that provides probability information about the favorable as well as the unfavorable consequences that may occur.

A

Risk Analysis

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3
Q

A decision problem is characterized by decision alternatives, states of nature, and resulting payoffs.

A

Problem Formulation

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4
Q

Are the different possible strategies that decision maker can employ.

A

Decision Alternatives

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5
Q

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.

A

States of Nature

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6
Q

Is a graphical device showing the relationships among the decisions, the chance events, and the consequences.

A

Influence Diagram

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7
Q

Depict decision nodes.

A

Squares or Rectangles

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8
Q

Depict chance nodes.

A

Circles or Ovals

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9
Q

Depict consequence nodes.

A

Diamonds

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10
Q

Connecting the nodes show the direction of influence.

A

Lines or Arcs

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11
Q

The consequence resulting from a specific combination of a decision alternative and a state of nature is a:

A

Payoff

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12
Q

A table showing payoffs for all combinations of decision alternatives and states of nature is a:

A

Payoff Table

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13
Q

Payoffs can be expressed in terms of: (4)

A
  1. Profit
  2. Cost
  3. Time
  4. Distance

Or any other appropriate measure.

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14
Q

Three commonly used criteria for decision making when probability information regarding the likelihood of the states of nature is unavailable are: (3)

A
  1. Optimistic Approach
  2. Conservative Approach
  3. Minimax Regret Approach
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15
Q

Would be used by an optimistic decision maker.

A

Optimistic Approach

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16
Q

Chosen in Optimistic Approach:

A

Decision with the Largest Possible Payoff

17
Q

If the payoff table was in terms of cost, this would be chosen:

A

Decision with the Lowest Cost

18
Q

Would be used by a conservative decision maker.

A

Conservative Approach

19
Q

For each decision the minimum payoff is listed and then the decision corresponding to the maximum of these minimum payoffs is selected.

A

Minimum Possible Payoff is Maximized

20
Q

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.

A

Maximum Possible Cost is Minimized

21
Q

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.

A

Regret Table/Opportunity Loss Table

22
Q

The decision chosen is the one corresponding to the: (Minimax Regret Approach)

A

Minimum of the Maximum Regrets

23
Q

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.

A

Expected Value (EV) Approach

24
Q

Is the sum of weighted payoffs for the decision alternative.

A

Expected Value of a Decision Alternative

25
Is a chronological representation of the decision problem.
Decision Tree
26
Each decision tree has two types of nodes: Corresponds to the states of nature.
Round Nodes
27
Each decision tree has two types of nodes: Corresponds to the decision alternatives.
Square Nodes
28
Leaving each round node represent the different states of nature while the -------- leaving each square node represent the different decision alternatives. At the end of each limb of a tree are the payoffs attained from the series of -------- making up that limb.
Branches