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Sagot :
Answer:
The only dominant strategy in this game is for Ginny to choose Left.
The outcome reflecting the unique Nash equilibrium in this game is as follows:
Eric chooses Left and Ginny chooses Left.
Explanation:
The following payoff matrix is given in the question:
Ginny
Left Right
Eric Left 6, 6 8, 5
Right 3, 6 9, 5
The explanation of the answer is now given as follows:
A dominant strategy can be described as a strategy that makes a player in a game better off no matter the choice of strategy his opponent.
Looking at this game, when Eric plays Left, Ginny will also play Left because 6 > 5. When Eric plays Right, Ginny will still play Left because 6 > 5. This is an indication that Ginny will always play Left no matter what Eric plays. Therefore, the dominant strategy for Ginny is Left.
On the other hand, when Ginny plays Left, Eric will also play Left because 6 > 3. And when Ginny plays Right, Eric will also choose Right because 9 > 8. This implies that Eric does not have any particular strategy that make him better off. Therefore, Eric does NOT have a dominant strategy.
Based on the analysis above, we have:
The only dominant strategy in this game is for Ginny to choose Left.
The outcome reflecting the unique Nash equilibrium in this game is as follows:
Eric chooses Left and Ginny chooses Left.
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