To begin developing Facebook game apps, you'll need to have a basic understanding of programming and game development. You can use programming languages such as HTML5, JavaScript, and Python, and game engines such as Unity or Unreal Engine to build your game. Next, you'll need to create a Facebook Developer account and set up a new app for your game. Finally, you can integrate Facebook's platform features, such as login and social sharing, into your game. To succeed, it's important to create an engaging and unique game experience, and to continually update and improve your game based on player feedback.