A Nonstandard Theory of Games. Part III. Noncooperative *Finite Games.

摘要

A noncooperative framework for *Finite games is provided, where the number of participants is assumed to be indexed by an infinite *Finite set. Making use of results obtained in Part II of the series, it is shown that such games have standard non-atomic representations, thus enabling an alternative approach to Theorem 1 of Schmeidler thus enabling an alternative approach to Theorem 1 of Schmeidler. As an additional framework of application, a slight generalization of existing results, on thje ordinal Cores of Simple Games, is provided to the *Finite context.(Author)