Solving for dominant strategies and the Nash equilibrium Suppose Sean and Yvette

Question

Solving for dominant strategies and the Nash equilibrium

Suppose Sean and Yvette 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 Sean chooses Right and Yvette chooses Right, Sean will receive a payoff of 3 and Yvette will receive a payoff of 7.

The only dominant strategy in this game is for ___ to choose ____ .

The outcome reflecting the unique Nash equilibrium in this game is as follows: Sean chooses ___ and Yvette chooses ___ .

Explanation / Answer

When Y chooses Left, S chooses Right

When Y chooses Right, S chooses Left

So, S has no dominant strategy

Similarly,

When S chooses Left, Y chooses Right

When S chooses Right, Y chooses Right

So, the only dominant strategy is for Yvette to choose Right.

Nash: Sean chooses Left and Yvette chooses Right

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.