AN APPLICATION OF NON-STANDARD ANALYSIS TO GAME THEORY

Abstract

An extended (non-archimedean) real number system is used as a tool to prove certain theorems in the theory of cooperative games. The games discussed in this report involve a denumerably infinite number of players. Theorems concerning the nature of the kernel of such games are presented.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1966
Accession Number
AD0639591

Entities

People

  • Eugene Wesley

Organizations

  • Hebrew University of Jerusalem

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Calculus
  • Contracts
  • Cooperative Games
  • Game Theory
  • Identities
  • Mathematics
  • Models
  • Numbers
  • Plastic Explosives
  • Real Numbers
  • Real Variables
  • Sequences
  • Set Theory
  • Standards
  • Theorems
  • Topology
  • United States

Readers

  • Game Theory.
  • Mathematical Modeling and Probability Theory.