Her decision in this case can be categorized as “Decision under uncertainty” as probabilities associated with all possible states of nature are neither stated in the case facts nor can be determined from the given data. I would like to arrive at a decision by using decision table with probable states of nature with their respective pay-offs. The significant factors of the central problem are attendance in the stadium, percent of attendees who would buy shirts, whether the North Star …show more content…
Thus possible attendance of stadium would range from 25,000 to 90,000. With average 10% of attendees buying shirts, the probable states of nature can be taken as 2500, 5000 and 9000.
PIGEON HOLE # 17 PAGE2 OF 4
Lucinder was concerned about the rock band cancelling the show and thus this can also be taken as another possible state of nature . Hence the decision table would consists of four possible states of nature namely 0, 2500,5000,9000 ( Number of people buying shirts from Lucinder). The important factor is choice of criteria for decision making under uncertainty . The five criteria used are namely Laplace, pessimism, optimism, Hurwicz criterion and Savage criterion. The Laplace criterion cannot be applied to this case as probabilities associated with each state of nature is different . As evident from the case facts,
Lucinder is neither completely optimistic nor completely pessimistic about the pay-offs.