Ch. 14 Decision Analysis Flashcards
Primary problems in the decision making process include:
Uncertainty regarding the future
Lack of data
Conflicting objectives
A choiceamong several alternatives
Decision
A course of action intended to solve a problem
Alternative
Represents various factors that are important to the decision maker and influenced by alternatives
Criteria
Correspond to future events that are not under the decision makers control
State of Nature
The Three types of decision making environments:
Decision-making under 1) risk, 2) certainty, 3) uncertainty
The list of possible future events is known, and the probability of each event occurring can be assigned a probability
Decision-making under risk
The list of possible future events is known with complete certitude
Decision-making under certainty
The list of possible future events is known, but the associated probabilities are unknown
Decision-making under uncertainty
A tabular rendering of the various alternatives and states that reports the corresponding outcomes.
Summarizes the final outcome (or payoff) for each decision alternative under each possible state of nature.
Payoff Table (Matrix)
The two basic structural components of a payoff table are?
States of nature and Alternatives
In a payoff table -
columns equal?
rows equal?
Bottom row equals?
Columns = the decision options (alternatives)
Rows = states of nature
Bottom row = expected value
What is a probabilities range in value between?
zero and one
represent the likelihood of occurrence based on historical data
examples: weather and gaming
Objective probabilities
A process for selecting from several options based on facts, observations, and data
Objective decision-making
when there is no historical data available. It is PERSONAL
ex. Interviews with experts in the field
Subjective probabilities
A process for selecting from several options based on assumptions, beliefs, and opinions
Subjective decision-making
A function that maps an observation to an appropriate action
Decision rule
The weighted average of a variable where the weights are the respective probabilities associated with the various outcomes
Expected value
The decision rule can be divided into two methods:
Probabilistic Methods
Non Probabilistic Methods
Those that assume the probabilities of occurrence can be assigned to the states of nature in a decision problem
Probabilistic Methods
Those that DO NOT assume the probabilities of occurrence can be assigned to the states of nature in a decision problem
Non Probabilistic Methods
You use the following when probabilities are what?
Expected Monetary Value Decision Rule (EMV)
Expected Opportunity Loss (EOL)
Expected Value of Perfect Information (EVPI)
PROBABILITIES ARE KNOWN
You use the following when probabilities are what?
Maximax decision rule
Maximin decision rule
Minimax Regrest decision rule
PROBABILITIES ARE UNKNOWN
Select the alternative with the largest expected monetary value (EMV)
Expected Monetary Value Decision Rule
for a given decision alternative, this indicates the average monetary outcome of a decision if it was repeated a large number of times
Expected Monetary Value (EMV)