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Alone, the Theory of Games will not make one a winner of any game as it doesn't provide definite answers.
It is true that an answer is an answer-one plus one does equal two-but the solid answers available through Game Theory for a game are nothing more than advisors;
facts to be recognized when planning a course of action. It is a theory, and as such, is a collection of principles drawn from any body of facts;
it is a mathematical theory because the facts its principles are drawn from are taken principally from various avenues of mathematics. Two examples are algebra and probability.
By using as many branches of mathematics as possible in a game, one is able to better calculate an action to be taken because he or she will be better informed with quantity.
A quantity of facts found in the form of numbers, or perfect information. These answers drawn from branches of mathematics are locked in for a given set of circumstances; hence,
one's chances of a gain are increased because he or she has exchanged one or more unknowns for a known fact, which thereby removes guessing from the game and substitutes it with estimating.
This is what is able to improve one's game playing, as the more he or she knows, the more competent he or she becomes as one who may achieve success. For instance,
being asked to guess how many marbles are in a bottle sparks countless answers, but if one knows that the number is less than one hundred, then all the numbers greater than one hundred are eliminated,
and the chance of giving the correct answer is increased significantly. After all, how many possible answers were eliminated? Countless.
Moreover, realizing the answer could not be negative also improves the odds; therefore, mathematical facts dealing with numbers are instrumental in a game, and are more often than not,
the most important facts to consider, as they are the most certain facts available. Note that very rarely, and most certainly not within this example,
do the numbers exclusively aid in finding the best or only answer, as dictated by a successful plan of action.
The principles involved in Game Theory are not solely drawn from mathematical facts. Mathematics is not taught in school to simply give an individual a better handle on numbers and quantitative relationships.
Mathematics is taught with aim of developing the qualitative aspects of one's mind and its train of thought. As such, Game Theory is further proven to be a mathematical theory, because it, too, addresses these areas.
Logic is one of these qualitative areas, and it is through logic that one is able to come up with the best evaluation of the facts. This becomes increasingly important as more of the aspects of a game are introduced.
In most games there is at least one other player, who has his or her own ideas about how to play the game.
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