ON THE CLASS OF GAMES OVER FUNCTION SPACE AND RELATED VARIATIONAL PROBLEMS,

Abstract

A certain class of two person zero sum games in which the players have functions as pure strategies is considered. A notion of mixed strategy is defined for such games, and a theorem is proved insuring the existence of solutions in mixed strategies. By specializing to consider games in which one player has a passive role, some apparently new information on the existence of solutions to certain variational problems is obtained. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 20, 1953
Accession Number
AD0604217

Entities

People

  • W. H. Fleming

Organizations

  • RAND Corporation

Tags

Fields of Study

  • Mathematics

Readers

  • Game Theory.
  • Linear Algebra
  • Systems Analysis and Design

Technology Areas

  • Space