Dreaming of a badge can mean that you want to be part of a group. It could also mean that you want to receive recognition for something.
What did the badge in your dream say or advertise? Did it show support for something or a cause?
It could be that you subconscious is trying to get you to pay attention to this person or cause, or what they represented in the dream?
A badge often has your name on it, thus identifying you as an individual. At the same time, a badge identifies you as a member of a certain group or organization.
Therefore, wearing a badge in a dream represents a need to be accepted by others and to fit into society while, at the same time, retaining your individuality.
Have you recently moved to a new place, started going to a new school or started a new job? You could be concerned about how you will get along with the people you meet and about how your new situation will make you change as a person.
Wearing a badge can also symbolize being stereotyped. If you dream that you are wearing a badge, you could feel that other people have developed opinions of you based on superficial things, and that they are judging you without knowing enough about you.
If you dream that someone else is wearing a badge, you may also feel that they are being stereotyped.
A badge is also a symbol of authority, so someone wearing a badge in a dream can represent an authority figure or authority itself.