A Nonstandard Theory of Games. Part I: On the Existence of the Quasi-Kernel and Related Solution Concepts for *Finite Cooperative Games.
Abstract
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1979
- Accession Number
- ADA072518
Entities
People
- Alain A. Lewis
Organizations
- Harvard University