7. In the above diagram, there are three players. They're : Iraq, US and UN. The Iraq has three information sets and Iraq's strategy is a triple of actions. Those are - a) initial code set, b) No WMD set and UN requested inspections and c) WMD set and UN requested inspections. At the information sets, one side it has two actions and the other side it has three actions. The sum total of Iraq strategies are 12.
The other player, US has four information sets. In the first information set a) the UN didn't request inspections, b) in the other, the UN requested inspections and Iraq rejected that request , c) the UN again requested inspections and Iraq has agreed to the request & Weapons of Mass Destruction [WMD] were not found , d) in the last information set the WMD were found and hence the Iraq acquiesced to UN requested inspections. The last information set is considered as a unit set. Hence, the US strategies are four tuple of actions. Each of its four information sets contains two feasible actions such as attacking or not attacking Iraq. The total number of US strategies are 16.
The remaining player, UN has one information set and it contains two nodes corresponding to having WMD or not having WMD of Iraq. The UN strategy set indicates request inspections or not.
You have to solve the 7th question Exercises p one of the two doors not selected...
5. Consider the Monty Hall Problem. A game show host shows you three doors, and indicates that one of them has a car behind it, while the other two have goats. You win a car if you end up choosing a door with a car behind it. The game is conducted as follows: • You pick an initial door out of the three available. • The game show hosts then opens a door (out of the remaining two doors) with...
Monty Hall Problem - Suppose you are going to be on a game show, and you will be given the choice of three doors: Behind one door is a car; behind the other two doors are goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?" Is it to your...
126. An article entitled "Behind Monty Hall's Doors: Puzzle, De- bate and Answer?" appeared in the Sunday New York Times on July 21, 1991. The article discussed the debate that was raging among mathematicians, readers of the "Ask Marilyn" column of Parade Magazine and the fans of the TV game show "Let's Make a Deal." The argument began in Septem- ber, 1990 when Ms. Vos Savant, who is listed in the Guinness Book of World Records Hall of Fame for...
Question 1: Consider the following Monty Hall problem. Suppose you are on a game show, and you are given the choice of three doors. Behind one door is a car, behind the others, goats. You pick a door, say #1, and the host, who knows what is behind the doors, opens another door, say #3, which has a goat. Here we assume that the host cannot open the door to expose the car and when he can open either of...
1.3 Cars and goats: the Monty Hall dilemma On Sunday September 9, 1990, the following question appeared in the "Ask Marilyn" column in Parade, a Sunday supplement to many newspapers across the United States: Suppose you're on a game show, and you're given the choice of three doors; behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3,...