Balanced Games, Cores, and Ultraproducts.

Abstract

Schmeidler's elegant generalization of Shapley's well-known result on Balanced Games is proved by means of the nonstandard constructions of Luxemburg and Robinson. The proof replaces the use of the Axiom of Choice with that of the weaker Boolean Prime Ideal Theorem. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1979
Accession Number
ADA072462

Entities

People

  • Alain A. Lewis

Organizations

  • Harvard University

Tags

Readers

  • Game Theory.
  • Mathematical Modeling and Probability Theory.