Decision-Theory

Have you ever wondered why gas stations on the same corner charge similar prices? Or why countries engage in arms races even though both would be better off spending less on weapons? Or why you and your friends can’t decide where to eat, even though everyone wants to go somewhere? These situations all involve strategic decision-making—and that’s exactly what game theory studies. What is Game Theory? Game theory is the mathematical study of strategic interactions. It’s a framework for understanding situations where your best choice depends on what others choose, and their best choice depends on what you choose. ...

When most people hear the word “game,” they think of fun activities like chess, poker, or video games. But in mathematics, a “game” has a much broader and more precise meaning. Game theory studies strategic situations where the outcome depends not just on your choices, but on the choices of others too. What Makes Something a “Game”? In game theory, a game is any situation where: Multiple decision-makers (called “players”) interact Each player has choices (called “strategies”) they can make Each combination of choices leads to an outcome with specific rewards or costs (called “payoffs”) Players care about these outcomes and try to make rational decisions The beauty of this definition is that it applies to far more than board games. Business competition, political negotiations, evolutionary biology, and even social dilemmas are all “games” in the mathematical sense. ...