A Nonstandard Theory of Games. Part I: On the Existence of the Quasi-Kernel and Related Solution Concepts for *Finite Cooperative Games.

摘要

Solution concepts analogous to those found in the theory of finite cooperative games, namely, the Kernel, the Bargaining Set, the Epsilon-Core, and the Nucleolus, are defined for a class of nonstandard games. Such games are termed *Finite to indicate the use of certain infinite sets defined in the context of an N1-saturated enlargement of the real number system. The principal solution concept, that of the quasi-kernel, is shown to be, in general, non-empty. (Author)