OOP implementation of Rock Paper Scissors game logic in Java
I don't see anything object-oriented in it. A program without a single non-static method can hardly be called OO.
The main task of this piece of code is to compare PlayedMove instances, so to follow OO style, you should make that comparison a method of PlayedMove. This will make the enum a bit more complex (beyond beginner level), so you might want to switch away from PlayedMove being an enum (or, use it as an exercise on complex enums).