ON A THEOREM OF VILLE,

Abstract

Among the several procedures which lead to the existence of the value of a discrete two persons, zero sum game one is based on a theorem of Ville and another one is based on a fix point theorem of Kakutani. In the present paper these two theorems are extended under certain conditions to infinite dimensional spaces. The results are useful tools in the theory of non-discrete games.

Document Details

Document Type
Technical Report
Publication Date
May 27, 1949
Accession Number
AD0603827

Entities

People

  • H. F. Bohnenblust
  • S. Karlin

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Point Theorem

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space