How many strategies of committee member are weakly dominated

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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?

Reference no: EM133495442

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