This note introduces a scoring rule for ordinal likelihood judgments based on the linear scoring rule. If the ordinal judgments are strict, the scoring rule is incentive compatible for expected utility maximizers as long utility is increasing in wealth. When allowing for non-strict judgments,...

When risk averse forecasters are presented with risk neutral proper scoring rules, they report probabilities whose ratios are shaded towards 1. If elicited probabilities are used as inputs to decision-making, naive elicitors may violate first-order stochastic dominance.