Google provides Google Play Services as a way to use special features in apps. Being the game services subset the one that interests us the most. Note that Google Play Services are updated as an app that is independent from the operating system. This allows us to assume that most of the players will have the latest version of Google Play Services installed.
More and more features are being moved from the Android SDK to the Play Services because of this.
Play Services offer much more than just services for games, but there is a whole section dedicated exclusively to games, Google Play Game Services (GPGS). These features include achievements, leaderboards, quests, save games, gifts, and even multiplayer support.
GPGS also comes with a standalone app called "Play Games" that shows the user the games he or she has been playing, the latest achievements, and the games his or her friends play. It is a very interesting way to get exposure for your game.
Even...