Suppose Rajiv and Simone 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 Rajiv chooses Right and Simone chooses Right, Rajiv will receive a payoff of 5 and Simone will receive a payoff of 5. Simone Left Right Left 6, 6 6, 3 Rajiv Right 4, 3 5, 5 The only dominant strategy in this game is for to choose The outcome reflecting the unique Nash equilibrium in this game is as follows: Rajiv chooses and Simone chooses

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7. Solving for dominant strategies and the Nash equilibrium

Suppose Rajiv and Simone 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 Rajiv chooses Right and Simone chooses Right, Rajiv will receive a payoff of 5 and Simone will receive a payoff of 5.
 
Suppose Rajiv and Simone 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 Rajiv chooses Right and
Simone chooses Right, Rajiv will receive a payoff of 5 and Simone will receive a payoff of 5.
Simone
Left
Right
Left
6, 6
6, 3
Rajiv
Right
4, 3
5, 5
The only dominant strategy in this game is for
to choose
The outcome reflecting the unique Nash equilibrium in this game is as follows: Rajiv chooses
and Simone chooses
Transcribed Image Text:Suppose Rajiv and Simone 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 Rajiv chooses Right and Simone chooses Right, Rajiv will receive a payoff of 5 and Simone will receive a payoff of 5. Simone Left Right Left 6, 6 6, 3 Rajiv Right 4, 3 5, 5 The only dominant strategy in this game is for to choose The outcome reflecting the unique Nash equilibrium in this game is as follows: Rajiv chooses and Simone chooses
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