id author title date pages extension mime words sentences flesch summary cache txt work_wx6kk7nggjedxmvbnjl23jeen4 Randall G. McCutcheon In Favor of Logarithmic Scoring 2019 17 .pdf application/pdf 8297 1176 84 Shuford, Albert and Massengill proved, a half century ago, that the logarithmic scoring rule is the only proper measure of inaccuracy determined by a di�erentiable function of probability assigned the actual cell of a scored partition. 1We shall assume that agents adopt credence functions obeying the probability axioms. 3To see this, consider a scoring rule assigning value f(p), where p is the agent's credence in the actual Only a rule for which score is a function of credence assigned the actual cell alone can have Suppose that there is a scoring rule S and credence functions A = (a1;a2;a3) and B = rule gives an inaccuracy score of in�nity to an agent with zero credence in a realized cell credence function by a rule that doesn't score by the actual cell alone is apt to become Since scoring rules that are not functions of the actual cell alone generally depend on ./cache/work_wx6kk7nggjedxmvbnjl23jeen4.pdf ./txt/work_wx6kk7nggjedxmvbnjl23jeen4.txt