Contests with Ties
We study all-pay contests in which there is a positive probability of a tied outcome. We analyse both one-stage contests and multi-stage contests with tie-breaks. We demonstrate that in symmetric two-player contests, the designer does not have an incentive to award a prize in a case of a tie. Consequently, in symmetric multi-stage two-player contests, the designer should allow an unlimited number of tie-breaks until a winner is decided.
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