Abstract
Any symmetric mixed-strategy equilibrium in a Tullock contest with intermediate values of the decisiveness parameter (“\(2<R<\infty \)”) has countably infinitely many mass points. All probability weight is concentrated on those mass points, which have the zero bid as their sole point of accumulation. With contestants randomizing over a non-convex set, there is a cost of being “halfhearted,” which is absent from both the lottery contest and the all-pay auction. Numerical bid distributions are generally negatively skewed and exhibit, for some parameter values, a higher probability of ex-post overdissipation than the all-pay auction.
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