Restaurateur is going to set up a cream tea stall at a local Feven. On the morning
Question:
Restaurateur is going to set up a cream tea stall at a local Feven. On the morning of the Feven she visits the wholesale market and has to decide whether to buy large, medium or small quantities of strawberries, scones, cream and other materials. Her profit depends on the number of people attending the Feven, and this in turn depends on the weather. If her matrix of gains (in thousands of Birrs) for different weather conditions is given below, Based on Maximax, Minimax, Maximin, Laplace and Hurwitz Criterion (α = 0.7).
What quantity of materials should she buy? Take for α = 0.75
| Evenly-weather is | ||
Alternative -buy | Good | Average | Poor |
Large quantity | 10 | 4 | -2 |
Medium quantity | 7 | 6 | 2 |
Small quantity | 4 | 1 | 4 |
Consider the following stereotype investment decision making example, what action to take among three possible courses of action with the given rates of return as shown in the body of the table with the decision criterion.
Pessimism, or Conservative (MaxMin)
Optimism or Aggressive (MaxMax).
Coefficient of Optimism (Hurwicz's Index)
Minimax Regret(Savag's Opportunity Loss)
| State of nature during one year | ||||
Actions |
| Growth | Medium Growth | No growth | Low Growth |
Bonds | 12 % | 8% | 7% | 3% | |
Stocks | 15% | 9% | 5% | -2% | |
Deposits | 7% | 7% | 7% | 7% |
Suppose that you have the following payoff matrix:
| Event | ||||
Action | E1 | E2 | E3 | E4 | E5 |
A1 | -100 | 160 | 40 | 200 | 0 |
A2 | 60 | 80 | 80 | 40 | 100 |
A3 | 20 | 60 | 60 | 20 | 80 |
A4 | -20 | -100 | -140 | -40 | 400 |
Select the optimal action by applying maximin, maximax, Hurwicz (= 0.3 ), minimax regret and the Laplace criteria?
Data Analysis and Decision Making
ISBN: 978-0538476126
4th edition
Authors: Christian Albright, Wayne Winston, Christopher Zappe