Often an organization or government must allocate goods without collecting payment in return. This may pose a difficult problem either when agents receiving those goods have private information in regards to their values or needs or when discriminating among agents using known differences is not...

We study all-pay contests under incomplete information where the reward is a function of the contestant's type and also of his effort. We analyze the optimal reward for the designer when the reward is either multiplicatively separable or additively separable in effort and type. In the...