What Color Is Each Officer’s Badge?

Question

Officers Yellow, Red and Green each have a green badge, a yellow badge and a red badge, but none of them has a badge color that matches their name.

All 3 met at their headquarters.

The Officer with the Green badge said “I have a green badge!”, to which Officer Red replied sarcastically: “So, What?”

What Color Is Each Officer’s Badge?

Answer 1

The officer with the green badge has to be Officer Yellow because it is not Red as he was the one who replied to the officer, also it can't be green because then it would mean he has a badge matching his color which is not true according to the question.
1. Yellow Officer --- Green Badge.
Remaining Badge colors are Red and Yellow. This means Officer Red has a Yellow badge and Officer Green has a Red Badge otherwise Red officer will have a badge with matching color. Therefore:
2. Red Officer --- Yellow Badge.
3. Green Officer --- Red Badge.