Please take your Kindle and start via Home – Apps – Store. Now search for the application via the search function ([GAME]) by hitting the search button. A new button will appear on the left side saying "update". Please hit this button to get the application updated.
You can also try restarting yourKindle:
1. Press and hold the Power button for a full 40 seconds. After the first 6 to 8 seconds, the screen will go blank, which is normal. Continue holding the Power button.
2. After the 40 seconds, release the Power button. The charge indicator light will turn on after a few seconds.