Voting Games 1- A commitee of 3 people are trying to choose the best Duke basketball player of the year. In the case of a tie, the player picked by voter X will win the award. To simplify exposition, suppose the payoff to a voter from having her first choice elected is 2, from her second choice is 1, from her third choice is 0.
All voters vote at the same time.
2- Consider a corporate board facing a hostile takeover. The board is going to vote on how to respond. Four options are proposed, each with its own champion. The founding president is looking for a way to keep the company intact. His preference is to initiate a poison-pill provision into the company charter.