Question: I should make a graph using a game tree or other ways in Game theory. Assume: You can choose 5 people, but you're hesitating. *It

I should make a graph using a game tree or other ways in Game theory.

Assume:

You can choose 5 people, but you're hesitating.

*It is better to meet up sooner than later. As time goes by, the opportunity will decrease for each player. When you give too much time, they will find another one.

Player A sets up the rank of each person and makes a list.

A prefers B>C>D>E>F. Also, A player will ask out from B to F in order if a player declines to date.

If A chooses B, the score is higher than the other players.

Just in case, if A asks out B, and goes well, then they will delete the app. (100, 80)

100 is A player's satisfaction. 80 is B player's satisfaction but, B will lose his/her opportunity to choose others.

But if B player declines to date, then A will lose 20% of opportunity (When you move to the next player, you will lose 20% of opportunity each time because asking out is being late). And A player moves to C player and want to date, they will get (80,60)

Because C player can choose a different person. And A will lose 20% of opportunity as well.

If it didn't go very well with C, then can ask D. A lot of time has passed before asking D lessening the opportunity.

So, D will have 40, and A will have 60 because the order of preferred objects has been pushed back.

E will have 20, A will have 40.

F will have 0 (an opportunity of less possibility, because the date is too late.) and A will have 20 (still wanting to date with F)

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