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