We show that the Brier game of prediction is mixable and find the optimal learning rate and substitution function for it. The resulting prediction algorithm is applied to predict results of football and tennis matches, with well-known bookmakers playing the role of experts. The theoretical performance guarantee is not excessively loose on the football data set and is rather tight on the tennis data set. color="gray">
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机译：我们证明了预测的Brier游戏是可混合的，并找到了最佳的学习率和替代函数。结果预测算法被应用到足球和网球比赛的预测结果中，著名的庄家扮演专家的角色。理论上的性能保证在足球数据集上并不过分宽松，而在网球数据集上则过于严格。 color =“ gray”>
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