The subjective probabilities implied by L. J. Savage's (1954, 1972) postulates are finitely but not countably additive. The failure of countable additivity leads to two known classes of dominance paradoxes, money pumps and indifference between an act and one that pointwise dominates it. There is...

Consumers' average value for information goods, websites, weather forecasts, music, and news declines with the number consumed. This paper provides simple guidelines to optimal bundling marketing strategies in this case. If consumers' values do not decrease too quickly, we show that bundling is...

Abstract A scoring rule is proper if it elicits an expert's true beliefs as a probabilistic forecast, and it is strictly proper if it uniquely elicits an expert's true beliefs. The value function associated with a (strictly) proper scoring rule is (strictly) convex on any convex set of beliefs....