23problems help to solve them

White Knight Mao Winner Winner Poison Pill Wait & See Winner Each vote is by simultaneous, secret ballot and the majority decides the outcon. After each vote the outconr is Inade known to every member and the voting proceeds to the rxt stage It is comnnn knowkdge that they are all sophisticated thinkers and strategic voters (that is, when ficed wffh a vote between alternative x and alternative y, a member might vote tr x even though heishe ranks y above x, If he she anticipates that such a vote will affect the final outconr m a way that is favorable according to his/her tme preferences). (a) Describe a pure strategy fir a board nrmber in this game [No need to draw the extensive- firm game.] (b) Using, whenever possible, the notion of weak dominance (pertaining to the choices in any stage of votmg) find the subgame-perfect equiliYium of this game Explain your answer in (c) Once the founder recognizes what '.vl happew there is a ploy she can resort to in order to get her nnst preferred optiow namely the Polson Pill Suppose the founder Sl_mply gives her vote to sonrbody else (who will then use it to double his own vote, which he casts according to his own preferences) and leaves the meeting. To whom should the Founder gwe the vote? Explam your answer in detail.