Random Regular Tournaments,

Abstract

The author uses the notation of J. W. Moon. Unless otherwise stated all tournaments shall be labeled. The author sometimes represents a tournament T by a set of ordered pairs (i, j) where this represents that i beat j. The game between i and j with winner undetermined is represented by (set (i, j)). T may also be represented by its tournament matrix. A common motif in the theory of tournaments is the probabilistic method. In the paper it is shown how to prove properties of a random element of the class of regular tournaments. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1972
Accession Number
AD0741591

Entities

People

  • Joel H. Spencer

Organizations

  • RAND Corporation

Tags

Fields of Study

  • Economics

Readers

  • Calculus or Mathematical Analysis
  • Mathematical Modeling and Probability Theory.
  • Military History of the United States in the 20th Century.