So one way to think about it is, is the expected distance from her of the winning candidates, is: with probability of a half it's herself so that's nothing, No distance, and with probability of a half it's two places away.
Typically, in a variation of the Allais experiment, subjects are asked to consider two different lotteries one with a big probability of winning a small prize and another with a smaller probability of winning a big one.
One theory of decision making says you ought to maximize your expected returns, where an expected return is the outcome multiplied by the probability of winning it.
