Tracking API for ios/android games and app

Hello I need a system which allows me to know the behavior of my website’s members on smartphone apps. (The website can be Joomla with Jomsocial or CB with wordpress, I still don’t know) I will propose my API to the devs in order to integrate it on any iOS/Android app or game. This API has to allow the connection of my members to their account from the UI of a game or a app like the Facebook/Google+ Login for the games. At the moment when the users are connected from an app, the behavior on this app has to return on our servers. Various factors will be taken in count : Time of use, number of « clicks », number of shared articles, high score, world finished. After this, I will use these data on my site : Example1 : User1 passed 34 minutes on App4 Example2 : User45 click 456 times on App56 I don’t need that the user could access to his entire jomsocial profile from the app. I ‘m waiting for your solutions with the details for every step (backend for the app etc…) Sébastien