SOME TOPICS IN TWO-PERSON GAMES

Abstract

Several loosely-related essays on the theory of finite, two-person games are presented. The topics covered are: (1) the block decomposition of symmetric games; (2) saddle points in matrices having submatrices with saddle points; (3) generalized saddle points and 'order matrices'; (4) the existence of values in games with almost perfect information; and (5) the nonconvergence of 'fictitious play' in non-zero-sum games. Throughout, there is an emphasis on features of the theory that depend only on the ordering of the payoffs, as opposed to their numerical values.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1963
Accession Number
AD0407345

Entities

People

  • Lloyd Shapley

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Decomposition
  • Differential Equations
  • Equations
  • Government Procurement
  • Governments
  • Inequalities
  • Matrix Games
  • Numbers
  • Permutations
  • Real Numbers
  • Residuals
  • Sequences
  • Symmetric Games
  • United States
  • Zero-Sum Games

Fields of Study

  • Economics

Readers

  • Game Theory.
  • Linear Algebra