We present a complete, separable and metrizable topology on the product space of information and (subjective) beliefs. Such a topology formalizes similarity of differential information without the assumption of a common prior, but under the assumption that objectively impossible events are...

This paper reports a definitive resolution to the question of the existence of a pure-strategy Bayesian–Nash equilibrium in games with a finite number of players, each with a compact metric action set and private information. The resolution hinges on saturated spaces. If the individual spaces...

In the context of a model due to Robinson, Solow and Srinivasan (the RSS model) with time-dependent felicity functions that are not necessarily concave, we report a theorem on the existence of optimal programs. An extended introduction places our theorem in the context of previous work on the...