A large and unifying family of noisy or non-deterministic contests is proposed. The defining characteristic is that the marginal return to effort exhibits a log-supermodularity property. The model nests both the usual rank-order tournament and the microfoundations for the Tullock contest. With homogeneous technologies, strategic incentives and comparative statics are qualitative similar across the entire family. Robust comparative statics include collective discouragement and disparity effects. The effects of precommitment are also robust. Moreover, the model provides a framework for studying the role of heterogeneous technologies. Sufficient conditions are provided under which the comparative statics and their policy implications are preserved.