Gibbard's theorem

Okay, kiddo, let me try to explain Gibbard's Theorem to you in simple words. Imagine your Mom tells you to pick a game to play tonight with your friends. And you have three options- a board game, a card game, or a video game. How would you choose one game to play?

You might think about which game you enjoy the most, which game your friends might like, or which game you have played the least. These are all reasons for choosing one game over the others. We call them "preferences."

Now, when grown-ups make decisions, they also have preferences, but they might be more complicated. They might think about things like how their decision will affect others, or what is the best outcome for everyone. We call these "social preferences."

But here's where Gibbard's Theorem comes in. It says that it's impossible to come up with a fair way of making decisions that always takes everyone's social preferences into account. In other words, no matter how we try to make decisions, there will always be some situations where one person's preferences are ignored or overridden.

So, if you and your friends want to play a game together, you might have to compromise and choose one that everyone can enjoy, even if it's not your personal favorite. Gibbard's Theorem shows us that making decisions that satisfy everyone's social preferences is not always easy, but it's important to try our best to be fair and considerate of others.