Axiomatic Characterization of the Quadratic Scoring Rule
研究了二次评分规则在比较概率理论预测效果时的作用，证明该规则在正线性变换下可由四个理想性质唯一刻画。
Abstract In the evaluation of experiments often the problem arises of how to compare the predictive success of competing probabilistic theories. The quadratic scoring rule can be used for this purpose. Originally, this rule was proposed as an incentive compatible elicitation method for probabilistic expert judgments. It is shown that up to a positive linear transformation, the quadratic scoring rule is characterized by four desirable properties.