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Operations Research




                    Notes             Comparing the utility analysis for a risk taker with  a risk avoider, we see that, even with
                                       the  same  decision  problem,  different  attitudes  toward  risk  can  lead  to  different
                                       recommended decisions.

                                   14.8 Keywords

                                   Acquiescence: Doing everything as asked without questioning the logic.
                                   Actions: These are the options an agent ponders. Actions are often represented by rows in a
                                   table.
                                   Conditions: These are how things turn out independently of actions. Conditions are represented
                                   by columns.

                                   Dishonesty: Trying to obtain someone else's decision; trying to anticipate the outcome without
                                   actually going through the intellectual stages.
                                   Falsification: Not being able to solve the problem, illegible recording of calculations and final
                                   outcomes.
                                   Gambling: Trying to fit decision variable configurations in the process of decision-making by
                                   trial and error; assuming that the problem cannot be solved.
                                   Impatience: Skipping the process of analysis and reaching  a conclusion without any backup
                                   reasoning.
                                   Inertia: Skipping the study of facts because it is "not important" promising oneself to come back
                                   to it later; being "confused" because certain things may not be clear.

                                   Outcomes: These are the states that result from actions under various conditions.
                                   Semantics: Calling the decision-making situation totally absurd, very tough,  too much time-
                                   consuming.

                                   14.9 Review Questions


                                   1.  Consider the decision problem with the profit payoff table with four decision alternatives
                                       and three states of nature.
                                                                  States  of  Nature

                                          Alternative           X                 Y                 Z
                                              A                 4                 3                 3
                                              B                 5                 2                 5
                                              C                 5                 6                 2
                                              D                 6                 1                 4

                                       (a)  If the decision maker knows nothing about the probabilities of the three states of
                                            nature, what is the recommended decision using the minimax rule.

                                       (b)  Assume that the payoff table provides cost rather than profit payoffs. What is the
                                            recommended decision now?
                                   2.  Consider the decision problem with the payoff table with four decision alternatives and
                                       three states of nature.









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