# Game Theory

Topics: Strategy game, Abstract strategy game, Mathematics Pages: 4 (637 words) Published: February 16, 2013
Saeed Sharaf

Mr. Thomas Kaster

Pre Calculus

January 21, 2013

Math Game Theory: Research Paper

A strategy game is mainly based on decision making-skills. There are many strategy games found and one thing they have in common is that they all require internal decision style thinking. The Greek word “strategy” comes from the word meaning generalship. Some examples of strategy games would be tic-tac tow, chess etc. Game strategies are largely related to math because even though they don’t require a person to solve math problems like in mathematical puzzles, but they require the person to think mathematically. Basic Mathematical Game Strategies Basic strategy games are particularly suitable as starting points of investigations. Players instinctively to try to discover a winning strategy and usually the best way to do this is to analyses the outcomes for series of moves, that usually occur when a person can relate something they learned to something they’re trying to do. For example solve the ancient game known as NIM. NIM is a mathematical game of strategy, in which two players take turns removing objects from distinct piles. On

each turn, a player must remove at least one object and may remove any numbering of

the particular object they have chosen.

Abstract Strategy

Another type of strategy games is under the category of Abstract strategy

games. Abstract strategy game is a game that depends on luck, and doesn’t have a

theme to rely on understanding the rules. Almost all abstract strategy games will

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conform to the strictest definition of a game board, card, or title game in which there

is no hidden information any non-deterministic elements. Some examples of abstract

strategy games are chess, checkers. There is an unbreakable bond between the

relationships in games such as puzzles, every board position presents the player with

the way they think and the way they want to take their next move. Which also goes...