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Tuesday, February 19, 2013

Game Theory

1. What is the rife outline for B, for A?
From the matrix, it can be seen that the dominant strategy for both A and B is Cheating. If A turnouts, no matter what B guides, A can constantly limit a positive profit of 8m or 2m, vice versa.
2. Which strategy minimizes the uttermost potential for loss for A, and for B?
The strategy that minimizes the maximum potential for loss for both A and B is rest by agreement. For A, if it stand firms by agreement, it result gain 5m when B exacts to stand and lose 2m when B chooses to stray, so the difference would be 7m. If A cheats, it will gain 8m, while in the other case, rightful(prenominal) gain 2m, the difference is 6m. So is B.
3. If you were A which strategy would you choose? Why?
If I were A, from the perspective of profit, I would choose to cheat as the risk of losing is lower, because that cheating is the dominant strategy of A, which way no matter what B chooses, A can always be better-off.
4. If A cheats, what will B do?
If A cheats, B would probably cheat too. As you have to choose the dominant strategy if you have ace and can be sure that the rival will choose his.
5. If B cheats what will A do?
If B cheats, A might live suit, as if it doesnt do so, it could lose 2m.

6.

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What is the most probable outcome of such a game?
The most believably outcome of this game is both A and B cheat as the dominant strategy is the optimal one. If any of one stands by agreement, it faces the risk of a loss of $2 meg when its opponent chooses cheating. Both sides want to avoid this kind of loss. As a result, both sides will choose the cheating strategy.
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