Android Studio: Unable to import android.gms.games packages?

Having quite a bit of trouble with Android Studio at the moment - I'm using the real-time multiplayer features for a simple game. However when the app is compiling, the errors are telling me the various packages listed below do not exist. I have real-time multiplayer enabled on the dev console, and I updated all the tools in case that was the problem. I'm wondering if I have overlooked something, or if there is a specific way of fixing this error? I've looked at previous questions for this problem but either the fix doesn't work or they're using Eclipse instead.

import com.google.android.gms.games.Games;
import com.google.android.gms.games.GamesActivityResultCodes;
import com.google.android.gms.games.multiplayer.Invitation;
import com.google.android.gms.games.multiplayer.OnInvitationReceivedListener;
import com.google.android.gms.games.multiplayer.Participant;
import com.google.android.gms.games.multiplayer.realtime.RealTimeMessage;
import com.google.android.gms.games.multiplayer.realtime.RealTimeMessageReceivedListener;
import com.google.android.gms.games.multiplayer.realtime.Room;
import com.google.android.gms.games.multiplayer.realtime.RoomConfig;
import com.google.android.gms.games.multiplayer.realtime.RoomStatusUpdateListener;
import com.google.android.gms.games.multiplayer.realtime.RoomUpdateListener;
import com.google.example.games.basegameutils.BaseGameActivity;

https://i.stack.imgur.com/Yagft.png