First and Second Prizes in Imperfectly Discriminating Contests
Most of the contest literature deals with first prizes; this Paper deals with the optimality of second prizes. We show that in a three-person contest where one contestant is very strong a second prize can be optimal from the point of view of eliciting maximum effort from every contestant. Moreover, we consider the desirability of second prizes from the point of view of competitive balance, which matters for contests such as sports competitions.
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