iPad touchscreen stops recognizing touch

I recently bought an iPad 4 32gb Wifi. Whenever I play games like GTA: Vice City or Nova 3, which have analog sticks (most games are affected actually), it recognises my touch for sometime, but after a few seconds it doesn't recognize my touch. In GTA: Vice City whenever you touch the controls, it turns pink, but in my iPad it completely doesn't recognize my touch after a few seconds. It makes playing games like these impossible.

I have not jailbroken my iPad and my iOS version is 6.1.3.