VALUES OF NON-ATOMIC GAMES I: THE AXIOMATIC APPROACH

Abstract

The value of an n-person game, n finite, is a function that associates to each player a number that, intuitively speaking, represents an a priori opinion of what it is worth to him to play in the game. Games with a continuum of players have recently attracted considerable attention as models for mass phenomena in economics and game theory. The paper extends the definition of value to certain classes of games with a continuum of players, and investigates the properties of the concept so defined.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1968
Accession Number
AD0687185

Entities

People

  • L. S. Shapley
  • R. J. Aumann

Organizations

  • Hebrew University of Jerusalem

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Banach Space
  • Continuity
  • Discontinuities
  • Equations
  • Game Theory
  • Identities
  • Inequalities
  • Measure Theory
  • New York
  • Numbers
  • Polynomials
  • Probability
  • Real Numbers
  • Real Variables
  • Sequences
  • Step Functions
  • Theorems

Fields of Study

  • Economics

Readers

  • Game Theory.
  • Theoretical Analysis.