After teaching a class on game theory, your instructor announces that if every student forgets to bring the final homework assignment, everyone will receive full credit for that assignment. However, if one or more students turn in the final homework, all responses will be graded and anyone who forgets to bring the final homework assignment will get a zero. Assume that there is no chance for you and your classmates to discuss the situation before working on the assignment. Will the entire class fail to turn in the homework

Options:

a) No, because the dominant strategy of the best prepared students is to post to the discussion board

b) Yes, because everyone assumes that all other classmates will not post a response

c) Yes, because this strategy offers the best result for everyone

d) No, because there is always at least one selfish person in the class who will post to the discussion board

a) No, because the dominant strategy of the best prepared students is to post to the discussion board

Step-by-step explanation:

Points to note:

1)  If every student forgets to bring the final homework assignment, everyone will receive full credit for the assignment

2)  If one or more students turn in the final homework, all responses will be graded and anyone who forgets to bring the final homework assignment will get a zero

The best prepared student is not satisfied with everybody receiving equal marks. He wants to score more since he is the most prepared. He knows that if he submits to the discussion board and the works are graded, he will score higher than everyone else.

In game theory, the dominant strategy is the strategy that gives the greatest satisfaction to the player.

Therefore, the dominant strategy for the best prepared student will be to submit the assignment and score higher than the other students when the works are graded.

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

the monthly balance will be $75,000