Two candidates, A and B, vie for an office. A committee of 11 people conducts an election to decide whom to choose. Abstention is not possible; each committee member has to vote for either candidate A or candidate B. The committee members cast their vote simultaneously. The candidate with most votes wins.A committee member's payoff depends on who wins the election (not on who the committee member voted for): it is 2, if her preferred candidate wins the election; and -2 otherwise.

Suppose a committee member favors/likes candidate A. How many strategies of this committee member are weakly dominated? How many are strictly dominated?