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...

The theory of melioration, originally formulated for individual decision-making contexts, is formally extended to a game theoretic framework. This paper proves the existence of a distribution that is a melioration strategy on the part of all players. Further, the question of stability of such a...