Math Game Theory

Game theory is a branch of mathematics that deals with the analysis of games ie situations involving parties with conflicting interests.

Cool math games abandoned light bulb locations. In addition to the mathematical elegance and complete solution which is possible for simple games the principles of game theory also find applications to complicated games such as cards checkers and chess as well as real world problems. Penn state math 486 lecture notes version 112 christopher gri n 2010 2012 licensed under acreative commons attribution noncommercial share alike 30 united states license. Mathematicalandeducational explorationspaulus gerdes historical modules for the teaching and learning of mathematics cd edited by victor katz and karen.

It has applications in all fields of social science as well as in logic systems science and computer scienceoriginally it addressed zero sum games in which each participants gains or losses are exactly balanced by those of the other participants. Theory of rational choice the theory of rational choice is a component of many models in game theory. 2we consider a game the so called matching pennies game where each player has only two strategies and player 1 gets a pay o of 1 when both play the same 1 when they play di erent strategies.

Game theory through examples erich prisner geometry from africa. A nim state a b c is a p position if the binary digital sum or nim sum of a b c is 0. What is game theory.

Originally game theory was used to analyse board game strategies. Game theory is a field in mathematics that deals with problems in which multiple actors called players take a decision. For player 2 the situation is the opposite that is she gains 1 when the two play di erent strategies and looses 1 when they play the same.

Basic ingredients of a model are the ones who make the decisions in a gamemodel. It arises when you analyse p and n positions mathematically. However nowadays it is used for a lot of reals world problems.

Game theory is the study of mathematical models of strategic interaction among rational decision makers. Game theory branch of applied mathematics that provides tools for analyzing situations in which parties called players make decisions that are interdependent. The name suggests that it has to do with board games or computer games.