Supermodular function

A supermodular function is like playing with blocks. When you add more blocks to a stack, the higher up you go, the harder it is to add even more blocks. This is because the blocks at the bottom are taking up more space and making it more difficult to fit additional blocks on top.

In math, we call this concept "supermodularity." It means that when you add more of something to a set, the outcome becomes harder to increase compared to when you started with just a few things.

For example, let's say you have a set of numbers: {1, 2, 3}. If you choose two of these numbers and add them together, you get a certain sum. But if you add another number to the set, then the sum of any two numbers in the set becomes harder to increase.

This is because adding another number makes some of the previous sums larger, which makes it more difficult to increase the sum of any two numbers.

So, a supermodular function is a type of math equation where if you add more variables to the equation, the outcome becomes harder to increase compared to when you started with just a few variables. It's like playing with blocks where the more blocks you pile on top of each other, the harder it is to add even more blocks.