ON BALANCED GAMES WITH INFINITELY MANY PLAYERS

Abstract

A cooperative game with side payments with an arbitrary set of players is formulated. The notions of balancedness and core remain unchanged in this general game. L. S. Shapley invented the two notions above, and proved that the core is non-empty if and only if the game is balanced. In this memorandum the same result is proved for a game with an arbitrary set of players.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1967
Accession Number
AD0655106

Entities

People

  • David Schmeidler

Organizations

  • Hebrew University of Jerusalem

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Additives (Chemicals)
  • Classification
  • Contractors
  • Contracts
  • Cooperative Games
  • Game Theory
  • Governments
  • Instructions
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • Numbers
  • Security
  • Sequences
  • Theorems
  • United States Government

Fields of Study

  • Economics

Readers

  • Educational Psychology
  • Game Theory.
  • Mathematical Modeling and Probability Theory.