Title

Subtraction Games and Computer Applications

Document Type

Thesis

Publication Date

2010

Advisor

Lynn Ziegler, Computer Science; Gary Brown, Mathematics

Abstract

Subtraction games are a type of mathematical game in which players take turns removing a set number of objects from a pile until there are no more moves remaining. The last person to remove objects wins. Subtraction games have been proven by game theorists to be periodic. In this research, we combine programming skills and game theory to investigate patterns in the periods of subtraction games.

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