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This is directly comparable to a contest success function:
:<math>pr(\tau(x_i) \le \min(\hat{\tau_i},t) = \underbrace{\frac{h(x_i)}{\sum_{i=1}^{n} h(x_i)}}_{\mbox{Firm i's relative effort}} \cdot \underbrace{\left ( 1-e^{-\left(\sum_{i=1}^{n} h(x_i)\right)t}\right )}_{\mbox{Prob of innov. at t}}\;</math>
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