Mutual knowledge (logic)

Mutual knowledge is when two or more people know the same thing and they both know that they both know it. For example, if you and your friend both know the name of your favorite game and you talk about it, you both have mutual knowledge of that information. Mutual knowledge is important because it helps people communicate and work together more efficiently. It's like sharing a secret between friends - once you both know it, you both feel a connection and can build on that knowledge together. In logic, mutual knowledge is used to represent situations where people share information with each other and can trust that everyone knows the same thing. It helps to ensure that everyone is on the same page and can work together towards a common goal.