In this paper, we seek to determine if auctions can be used to select players according to their level-k types. To do so, we embed auctions into the p-beauty contest game. We find that by using different designs, we can get the auction winners to be either the lower level-k types or the higher...

We study asymmetric second-price auctions under incomplete information. The bidders have two potentially different, commonly known, valuations for the object and private information about their entry costs. The seller, however, does not benefit from these entry costs. We calculate the...

We study all-pay auctions with variable rewards under incomplete information. In standard models, a reward depends on a bidder's privately known type; however, in our model it is also a function of his bid. We show that in such models there is a potential for paradoxical behavior where a...

We formulate a way to study whether the asymmetry of buyers (in the sense of having different prior probability distributions of valuations) is helpful to the seller in private-value auctions (asked first by Cantillon [2001]). In our proposed formulation, this question corresponds to two...

Political parties in Northern Ireland recently used a divisor method of apportionment to choose, in sequence, ten cabinet ministries. If the parties have complete information about each others' preferences, we show that it may not be rational for them to act sincerely by choosing their...

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...

Gift giving is thought to be welfare decreasing. This claim rests on two key assumptions, namely, full information as to the whereabouts of all goods and the ability to reach the stores that carry desired goods costlessly. We replace these two assumptions with the more realistic assumptions of...