"Multiple Solutions of Two- person Zero-sum Matrix Games" by Richard J. O'Farrell
 

Date of Award

1-1962

Degree Type

Master's Essay - Restricted

Degree Name

Master of Science (MS)

Department

Mathematics, Statistics and Computer Science

First Advisor

J.V. Talacko

Second Advisor

R. Tyrrell Rockafellar

Abstract

The purpose of this paper is to examine a method for obtaining multiple solutions of two - person , zero-sum matrix games . The method used is an extension of the Symmetric Method of linear programming developed by J . V. Talacko and R. Tyrrell Rockafellar . References to their papers will be cited later . An abstract proof of the arguments presented here is beyond the scope of this paper . Rather , it is an attempt on the part of the author to combine some of the work previously inserted in various texts and concentrate on the solutions of some typical problems usually thought to have unique solutions.

Comments

Submitted to the Department of Mathematics of Marquette University i n partial fulfillment of t he requirements for the degree of Master of Science, Milwaukee, Wisconsin.

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