A player is claiming gain of an item when actually the other player didn't lose it.
Detection: debate is dragging for long.
A player is not willing to send loss of an item when another client sees it as gained.
Detection: debate is dragging for long. Cannot be distinguished from take. Nobody leaves the room until it gets resolved.
A player deliberately refuses to communicate with the peers to keep them all locked up in the room. Also happens when a player loses connection.
Detection: room is locked for too long. Can be resolved by the server: sends a verdict. It may consider penalty points each carrying player has collected, and give penalty points for each incident they are involved in. Verdict may be confiscation of an item and dropping it to a random place. For a player with significantly lower penalty points they may keep the item they claim to carry. Players are not informed about their penalty points.
Client doesn't recognize lock event from the server and sends move message while in a locked room. A delayed lock message may cause this to happen.
A player claims they enter a room where they couldn't possibly get. It is either not even next to the one their avatar was located last or reached there in less time than legally possible.
Detection: server calculates minimum time to get from one door to another. Server keeps track of the room where each avatar is located, and may only enter neighboring ones, but even those after the minimum time to get to its door.