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First provide a summary of the paper, and then address the following criteria: Quality, clarity, originality and significance. This paper shows efficient minimax strategies when the loss function is the squared Mahalanobis distance, for two different settings: 1) action and outcome spaces are the probability simplex, and 2) they are the Euclidean ball. The paper is clearly written with a consistent set of notations. The games considered appear similar to previous work, such as TW00 and ABRT08. The only other direction of proposed novelty is in the choice of the Mahalanobis distance, a generalization of squared euclidean distance.