A prisoner is trying to escape from jail. He can attempt to climb over the walls or dig a tunnel from the floor of his cell. The warden can prevent him from climbing by posting guards on the wall, and he can prevent the con from tunneling by staging regular inspections of the cells, but he has only enough guards to do one or the other, not both. 1.What are the strategies and payoffs for this game? 2.Express the payoffs in both non-numerical and numerical terms. 3.Express this game in normal form. 4.Express this game in extensive form, assuming that the prisoner and the warden make their decisions at the same time. 5.Express this game in extensive form, assuming that the warden makes his decision first, and the prisoner knows the warden’s decision when he chooses his strategy
A prisoner is trying to escape from jail. He can attempt to climb over the walls or dig a tunnel from the floor of his cell. The warden can prevent him from climbing by posting guards on the wall, and he can prevent the con from tunneling by staging regular inspections of the cells, but he has only enough guards to do one or the other, not both.
1.What are the strategies and payoffs for this game?
2.Express the payoffs in both non-numerical and numerical terms.
3.Express this game in normal form.
4.Express this game in extensive form, assuming that the prisoner and the warden make their decisions at the same time.
5.Express this game in extensive form, assuming that the warden makes his decision first, and the prisoner knows the warden’s decision when he chooses his strategy.
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