Represent the following in extensive game format: A diplomat can choose to summon a terrorist his country is sponsoring to a meeting, or not. If he does not, an undercover CIA officer can choose to impersonate him and summon the terrorist to a meeting, or not. If summoned the terrorist does not know who summoned him and can choose to go to the meeting, or not. If the terrorist attends the meeting, and the diplomat summoned him, he and the diplomat get 6, and the officer gets 0. If he does not attend the meeting and the diplomat summoned him, he gets -6, the diplomat gets 0, and the officer gets 0. If the terrorist attends the meeting, and the officer summoned him, he gets -6, the diplomat gets -1, and the officer gets 6. If the terrorist does not attend the meeting, and the undercover officer summoned him, he gets 6, the diplomat gets 6, and the officer gets 0. If there is no summons and no meeting, all players get 1.

Question

02-02-2024
Mathematics

contestada

Represent the following in extensive game format: A diplomat can choose to summon a terrorist his country is sponsoring to a meeting, or not. If he does not, an undercover CIA officer can choose to impersonate him and summon the terrorist to a meeting, or not. If summoned the terrorist does not know who summoned him and can choose to go to the meeting, or not. If the terrorist attends the meeting, and the diplomat summoned him, he and the diplomat get 6, and the officer gets 0. If he does not attend the meeting and the diplomat summoned him, he gets -6, the diplomat gets 0, and the officer gets 0. If the terrorist attends the meeting, and the officer summoned him, he gets -6, the diplomat gets -1, and the officer gets 6. If the terrorist does not attend the meeting, and the undercover officer summoned him, he gets 6, the diplomat gets 6, and the officer gets 0. If there is no summons and no meeting, all players get 1.

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Gokusan098 Gokusan098 · Answer 1 · 2024-02-02T22:43:33+01:00

Answer:

In this game, there are three players: the diplomat, the undercover CIA officer, and the terrorist. The diplomat has the option to summon the terrorist to a meeting or not. If the diplomat chooses not to summon the terrorist, then the undercover officer has the choice to impersonate the diplomat and summon the terrorist or not.

If the terrorist is summoned to the meeting, he can choose to attend or not. There are different outcomes based on who summoned the terrorist and whether he attends the meeting or not.

Here are the possible outcomes:

1. If the diplomat summoned the terrorist and he attends the meeting:

- The diplomat and the terrorist both get 6 points.

- The officer gets 0 points.

2. If the diplomat summoned the terrorist but he does not attend the meeting:

- The terrorist gets -6 points.

- The diplomat gets 0 points.

- The officer gets 0 points.

3. If the officer summoned the terrorist and he attends the meeting:

- The terrorist gets -6 points.

- The diplomat gets -1 point.

- The officer gets 6 points.

4. If the officer summoned the terrorist but he does not attend the meeting:

- The terrorist gets 6 points.

- The diplomat gets 6 points.

- The officer gets 0 points.

5. If there are no summons and no meeting:

- All players get 1 point.