Suppose Jacques and Kyoko 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 Jacques chooses Right and Kyoko chooses Right, Jacques will receive a payoff of 5 and Kyoko will receive a payoff of 3. Kyoko
Left Right
Jacques Left 4, 4 6, 3
Right 5, 4 5, 3

The only dominant strategy in this game is for to choose . The outcome reflecting the unique Nash equilibrium in this game is as follows: Jacques chooses and Kyoko chooses .

The only dominant strategy in this game is for Kyoko to choose Left. The outcome reflecting the unique Nash equilibrium in this game is as follows: Jacques chooses Right and Kyoko chooses Left.

Explanation:

A dominant strategy is strategy that makes a player better off regardless of the strategy of his opponents in a game.

From the payoff matrix, it can be observed that, when Jacques plays Left, Kyoko will also play Left because 4 > 3. But, when Jacques plays Right, Kyoko will still play Left because 4 > 3. This indicated that Kyoko will always play Left no matter what Jacques plays. As a result, the dominant strategy for Kyoko is Left.

On the other hand, when Kyoko plays Left, Jacques will play Right because 5 > 4. But when Kyoko plays Right, Jacques will play Left because 6 > 5. This shows that Jacques does not have any particular strategy that make him better off. As a result, Jacques does not have a dominant strategy.

Based on the above analysis, we have:

The only dominant strategy in this game is for Kyoko to choose Left. The outcome reflecting the unique Nash equilibrium in this game is as follows: Jacques chooses Right and Kyoko chooses Left.

the correct answer is:

it required the president to inform congress within forty-eight hours of any new troop commitment.

the war powers resolution (1973) is a federal law designed to limit the u.s. president’s ability to initiate or intensify military actions abroad without the approval of the congress.

it establishes that the president can send armed forces into action abroad only by declaration of war by congress, statutory authorization, or in case of a national emergency created by attack upon the united states, its territories or possessions, or its armed forces.

it requires the president to notify congress within 48 hours of sending armed forces to military action.