Some Recent Developments in n-Person Game Theory.

Abstract

A general survey of the mathematical theory of games is presented with particular emphasis on recent developments in the theory of the core and stable sets (solutions) for the multi-person games in characteristic function form and with side payments. Extensions to games without side payments, games with infinitely many players, and the partition function form are mentioned. The history leading up to the discovery of a ten-person game with no stable set is reviewed. The equilibrium theory for noncooperative games in normal form as well as additional cooperative solution concepts are covered very briefly. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1970
Accession Number
AD0716045

Entities

People

  • William F. Lucas

Organizations

  • Cornell University

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Chemical Reaction Properties
  • Game Theory
  • Interdisciplinary Science
  • Mathematics

Fields of Study

  • Economics

Readers

  • Game Theory.
  • Theoretical Analysis.