Introduction
Game theory is the mathematical analysis of a conflict of interest to find
optimal choices that will lead to a desired outcome under given conditions.
To put it simply, it's a study of ways to win in a situation given the
conditions of the situation. While seemingly trivial in name, it is actually
becoming a field of major interest in fields like economics, sociology,
and political and military sciences, where game theory can be used to predict
more important trends.
Though the title of originator is given to mathematician John von Neumann, the
first to explore this matter was a French mathematician named Borel. In the 1930s,
Neumann published a set of papers that outlined the tenets of game theory and thus
made way for the first simulations which considered mathematical probabilities.
This was used by strategists during the second World War, and since then has earned
game theory a place in the context of Social Science.
It may at first seem arcane to involve mathematics in something that seems
purely based on skill and chance, but game theory is in actuality a complex part
of many branches of mathematics including set theory, probability and statistics,
and plain algebra. This results from the fact that games are dictated by a given
set of rules that can be used to outline a set of possible moves which can be ranked
by desirability and effectiveness, and with information available, such a set can also
be constructed for the opponent, thus allowing predictions about the possible outcomes
within a certain number of moves with a probabilistic accuracy.
This file was last modified on Thursday, 12-Aug-1999 19:07:44 PDT