This paper considers all-pay contests in which the relationship between bids and allocation reflects a small amount of noise. Prior work had focused on one particular equilibrium. However, there may be other equilibria. To address this issue, we introduce a new and intuitive measure for the...

This paper considers rent-seeking games in which a small percentage change in a player's bid has a large percentage impact on her odds of winning, i.e., on the ratio of her respective probabilities of winning and losing. An example is the Tullock contest with a high R. The analysis provides a...

The Hotelling game of pure location allows interpretations in spatial competition, political theory, and professional forecasting. In this paper, the doubly symmetric mixed-strategy equilibrium for n ≥ 4 firms is characterized as the solution of a well-behaved boundary value problem. The...

Optimal rank-order tournaments have traditionally been studied using a first-order approach. The present analysis relies instead on the construction of an "upper envelope" over all incentive compatibility conditions. lt turns out that the first-order approach is not innocuous. For example, in...

Optimal rank-order tournaments have traditionally been studied using a first-order approach. The present analysis relies instead on the construction of an "upper envelope" over all incentive compatibility conditions. It turns out that the first-order approach is not innocuous. For example, in...