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Homework answers / question archive / Solving for dominant strategies and the Nash equilibrium Suppose Manuel and Poornima are playing a game in which both must simultaneously choose the action Left or Right

** Solving for dominant strategies and the Nash equilibrium**

Suppose Manuel and Poornima are playing a game in which both must simultaneously choose the action Left or Right. The payoff matrix that follows shows the payoff each person will earn as a function of both of their choices. For example, the lower-right cell shows that if Manuel chooses Right and Poornima chooses Right, Manuel will receive a payoff of 5 and Poornima will receive a payoff of 1.

Poornima |
|||

Left | Right | ||

Manuel |
Left | 4, 4 |
6, 7 |

Right | 2, 4 |
5, 1 |

The only dominant strategy in this game is for------ to choose **--------** .

The outcome reflecting the unique Nash equilibrium in this game is as follows: Manuel chooses-------- and Poornima chooses **---------** .

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