Choquet theory

Choquet theory is like playing with different blocks. Just like how you can build different things by stacking blocks in different ways, Choquet theory is a way to build different ways of making decisions by combining different options.

Let's say you have a toy box with different toys inside. You want to choose one toy to play with, but you also have to decide the order in which you will play with them. Choquet theory helps you make this decision.

It works by assigning a value to each toy based on how much you like it. This is like giving each toy a certain number of points. The more points a toy has, the more you like it.

But here's the tricky part: you can also give certain "blocks" or groups of toys a higher value, no matter what toys they contain. For example, you might really like all the toys that are blue, so you give that group of toys extra points, even if there are some blue toys you don't like as much as others.

Using this kind of thinking, Choquet theory lets you combine different groups of toys in different ways to come up with a "score" for each possible order of playing with them. The order with the highest score is the one you should choose!