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Three important concepts in mathematics: pigeon hole principle, game theory and maximum problem.
Pigeon hole principle, game theory and maximum problem are three important concepts in mathematics. This paper will introduce these three concepts in detail to help readers understand them better.

drawer principle

The pigeon hole principle, also known as the average principle, describes that when an object is evenly distributed in B drawers, there will be a/b or more objects in at least one drawer. If A is less than B, at least one drawer is empty.

theory of games

In game theory, the most unfavorable principle tells us that no matter what other circumstances, we must ensure that the benefits of countermeasures are not less than the most unfavorable benefits. It's like pursuing the smallest in the most unfavorable situation.

Maximum problem

The maximum problem is a concept in mathematics, which involves the maximum and minimum values that can be obtained by a function when the independent variable changes in a specific range. It's like finding the range of a function in an independent variable.