The characterisation of scoring functions

The literature on subjective probabilities contains a number of functions t hat have been proposed as 'scoring functions'. The principal requirement is that, with several events that may occur in the future and to which subjec tive 'probabilities' are assigned, the expected score given by these 'proba bilities' will be extremised if the values assigned equal the 'true probabi lities' of the various outcomes. This article discusses the question of wha t other scoring functions might be used (beyond those so far proposed).