This paper analyzes an all-pay auction where the winner is determined according to the sum of the bid and a handicap endowed to all players. The bidding strategy in equilibrium is then explicitly derived as a “piecewise affine transformation” of the equilibrium strategy in an all-pay auction...

In dynamic principal-agent relationships, it is sometimes observed that the agent's reward depends only on the final outcome. For example, a student's grade in a course quite often depends only on the final exam score, where the performance in the problem sets and the mid-term exam is ignored....