# STEM ACTIVITY - GAME THEORY

Apr 8, 2023 | West Caldwell

Game Theory: The Art of Strategic Thinking

Game theory is a branch of mathematics that deals with the study of strategic decision-making. It is used in a wide variety of fields, from economics and political science to biology and psychology. In this post, we will explore the basics of game theory and how it can be applied in real-world scenarios.

What is Game Theory?

Game theory is the study of how individuals, organizations, or nations make decisions in situations where the outcome of their decision depends on the decisions of others. The key concept of game theory is the idea of a game, which is a mathematical model of a situation where there are multiple players who each have a set of choices or strategies to make.

Game theory assumes that each player is rational and will choose the best strategy available to them based on their knowledge of the game and their opponent's strategies. The goal of game theory is to predict the outcome of a game and identify the optimal strategies for each player.

Types of Games

There are two main types of games in game theory: cooperative games and non-cooperative games. In a cooperative game, the players can communicate and work together to achieve a common goal. In a non-cooperative game, the players cannot communicate and must make decisions based on their own self-interest.

One of the most famous examples of a non-cooperative game is the Prisoner's Dilemma. In this game, two prisoners are being interrogated separately. If both prisoners confess, they will each receive a moderate sentence. If one prisoner confesses and the other remains silent, the one who confesses will receive a reduced sentence while the other will receive a harsher sentence. If both prisoners remain silent, they will both receive a light sentence.

The optimal strategy for each player in this game depends on their opponent's strategy. If both players remain silent, they will both receive a light sentence. However, if one player confesses, the other player will be better off confessing as well. This leads to a situation where both players confess, even though both would have been better off if they had remained silent.

Applications of Game Theory

Game theory has a wide range of applications in various fields. In economics, game theory is used to study market competition, pricing strategies, and oligopoly behavior. In political science, game theory is used to study voting behavior, international relations, and strategic negotiations. In biology, game theory is used to study animal behavior, evolution, and ecological dynamics.

Game theory has also been used in popular culture. The television show "Survivor" is a popular example of a non-cooperative game, where contestants must make strategic decisions to eliminate their opponents and be the last one standing. The board game "Monopoly" is another example of a game that involves strategic decision-making and competition.

Conclusion

Game theory is a fascinating field of mathematics that has important applications in a wide range of fields. Whether you are interested in economics, politics, biology, or just enjoy playing games, understanding the principles of game theory can help you make better strategic decisions and predict the behavior of others. So why not take a closer look at game theory and see how it can help you in your own life?