How Does Intro to Game Theory and the Dominant Strategy Equilibrium Work?

Game theory is just a fancy way to describe how people make choices when their success depends on what others do. Imagine you are playing a game where your prize changes based on your friend’s move. It feels like magic if it works out, but it is really just smart guessing! Let’s look at the easiest part: the Dominant Strategy.

A dominant strategy is the best choice for you no matter what the other person picks. It is the "super choice." Think of a pizza shop and a burger joint opening next door. If being near each other brings in more hungry customers than being far apart, going next to your rival is better for both shops, even if they hate each other.

Let’s use a simple example with you and your sibling sharing the last cookie jar. You have two moves: take the big cookie or wait. Your sibling also has two moves: take the small cookie or wait.

See that? No matter what your sibling does, taking the big cookie gives you more joy points. Whether they grab the small one or let it sit there, taking the big cookie is always the right move for you. That is a dominant strategy. It wins every time.

When everyone picks their dominant strategy, we reach the Dominant Strategy Equilibrium. This means nobody wants to change their mind because they are already doing the best thing possible. You hold onto your giant chocolate chip cookie happily, and your sibling shrugs at their smaller oatmeal raisin one. Everyone is satisfied. The game settles down into a calm, happy routine where no one has an urge to swap places or trade treats again.