求助一道博弈论的问题，题目见问题补充，图像和表格见附加图片。急！！！

Question

The rhyming triplets, Boris, Horace, and Maurice, are the membership committee of
the very exclusive Dead Poets Society. The final item on their agenda one morning is
a proposal that Alice should be admitted as a new member. No mention is made of
another possible candidate called Bob, so an amendment to the final item is proposed.
The amendment says that Alice’s name should be replaced with Bob’s. The rules for
voting in committees call for amendments to be voted on in the reverse order to which
they are proposed. The committee therefore begins by voting on whether Bob should
replace Alice. If Alice wins, they then vote on whether Alice or Nobody should be
made a new member. If Bob wins, they then vote on whether Bob or Nobody should be
made a new member. The figure below represents the order in which voting takes place.
It also shows how the three committee members rank the three possible outcomes.

(a) Who will win the vote if everybody just votes according to their rankings?

(b) Why should Horace switch to voting for the candidate he likes least at the first
vote?

(c) What happens if everybody votes strategically? (Hint: Focus on equilibria in
(weakly) dominant strategies.

Answer 1

(1)第一轮投票Alice,Alice,Bob 结果是Alice
第二轮投票Alice,Nobody,Alice,Alice结果是Alice
所以结果就是Alice

(2)因为在第一选择的时候 Boris 会选择Alice,Maurice 会选Bob .Horace如果选Nobody显然是不对的,对他来讲貌似应该选Alice 这样最后的结果是 Alice 如第一问
第一轮投票Alice,Alice,Bob 结果是Alice
第二轮投票Alice,Nobody,Alice,Alice结果是Alice
所以结果就是Alice

,如果他第一轮选择Bob 那么Bob赢了,然后在第二轮投票的时候 Boris的占优策略是选Nobody ,这时Horace 也选Nobody 那么最后就是Nobody is the new member 对Horace来说 第一次选Bob是最优策略,如下:
第一轮投票Alice,Bob,Bob 结果是Bob
第二轮投票Nobody,Nobody,Bob,Bob结果是Nobody
所以结果就是Nobody

(3)首先如果第一轮投票结果是Bob赢了 那么最后结果显然是 Nobody是最优策略(达到纳什均衡)
这是Horace想看到的结果 但不是 另外两个(Boris 和Maurice)想看到的,
对Boris 和Maurice 来说选不了Bob那最好是让Alice上,所以
第一轮投票Alice,XXX,Alice 结果是Alice
第二轮投票Alice,XXX,Alice,Alice 结果是Alice
所以结果就是Alice
Horace在每轮中的投票就不重要了
这是唯一的纳什均衡