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just to make it clear,
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so Mr. X is the person at position X.
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If he enters the election and he wins the election
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then his payoff is B because he entered
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-C, --sorry B because he won,
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-C because he had to pay his election expense.
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But the winning candidate is him so he gets no disutility
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from the winning candidate being someone else.
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Second possibility,
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if Mr. X enters but Mr. Y wins,
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then X's payoff is what?
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He still incurred -C because he ran