On the Omega-Value of a Matrix

Abstract

The omega-value of a matrix is a function of a parameter sigma and is defined as a limit of a sequence of successive min and max operations applied to convex combinations of entries of the matrix. It arises naturally from a game- theoretical model. In the paper it is shown that the omega-value always exists and that it can be obtained from certain systems of nonlinear equations. Some of its properties are also investigated.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1974
Accession Number
AD0782138

Entities

People

  • Bruno O. Shubert

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Equations
  • Game Theory
  • Identities
  • Inequalities
  • Intervals
  • Linear Systems
  • Matrix Games
  • Numbers
  • Operations Research
  • Point Theorem
  • Reaction Time
  • Real Numbers
  • Security
  • Sequences
  • Theorems
  • Time Intervals
  • Zero-Sum Games

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Game Theory.
  • Linear Algebra