Is game theory a mathematical problem? Please help me give examples in my life! thank you

Theoretically speaking, game theory is a formal theory to study the interaction between rational actors, but in fact, it is going deep into economics, politics, sociology and so on, and is applied by various social sciences.

Game theory relies on mathematical model for analysis, which can be regarded as a mathematical problem.

In economics, "pig's income" is a famous example of game theory.

There are two pigs, a big pig and a little pig in the pigsty. There is a pedal on one side of the pigsty. Every time you step on the pedal, a small amount of food will fall on the feeding port on the other side of the pigsty far from the pedal. If one pig steps on the pedal, the other pig has a chance to eat the food that has fallen on the other side first. When the pig stepped on the pedal, the big pig just ate all the food before the pig ran to the trough. If the big pig steps on the pedal, there is still a chance for the little pig to run to the trough and fight for the other half before eating the fallen food.

So, what strategy will the two pigs adopt? The answer is: Piglets will choose the "hitchhiking" strategy, that is, they will wait comfortably in the trough; The big pig ran tirelessly between the pedal and the trough, just for a little leftovers.