Facility location (cooperative game)

Okay, imagine you have a bunch of toys that you and your friends want to play with. But you don't have a spot to play with them yet. You need to find a place with enough space that everyone can play together. This is what we call a facility location.

But it's not just about finding any place to play. You want to find the best place that works for everyone. This means everyone needs to agree on where to put the facility. This is called a cooperative game because everyone needs to work together to find the best spot.

To find the best spot, you need to think about a few things. First, you need to make sure everyone can get to the facility easily. This means it should be close to where everyone lives or works. Second, you need to make sure there's enough space for everyone to play without bumping into each other. This means it should be big enough for everyone to spread out.

Finally, you need to think about who will pay for the facility. It's not fair for one person to pay for everything. Everyone should contribute a little bit to help pay for the facility. This way, everyone feels like they're part of the team.

In summary, facility location in a cooperative game is like finding the best place to play with your toys with your friends. Everyone needs to agree on the location, the place needs to be easy to get to, big enough for everyone, and everyone needs to contribute a little bit to pay for it.