Proper Scoring Rules and Domination

TL;DR

This paper extends a theorem on proper scoring rules and domination to include non-additive scoring rules, broadening the theoretical understanding of scoring rule properties.

Contribution

It generalizes a previous theorem to cover non-additive scoring rules, enhancing the theoretical framework of proper scoring rules.

Findings

Generalized the theorem of Predd et al. to non-additive scoring rules.

Provided a broader theoretical foundation for scoring rule analysis.

Enhanced understanding of domination in scoring rule contexts.

Abstract

I generalize a theorem of Predd, et al.~(2009) on domination and strictly proper scoring rules to the case of non-additive scoring rules.