I have a HTC One S and recently did a system update and am now running 4.1.1 (whatever that is called)

I have a few games that have push notifications e.g. bakery story, restaurant story. As soon as I updated these, the notifications play the sound I had set, but now annoyingly they also vibrate. I have been into the settings for each app and there is no option for vibrate. 

I have searched through all the settings in my phone and can't find an option for notifications vibrating anywhere. I don't know how or why it turned on, but I want it off. The only option I have at the moment is to have my phone on silent all the time, or to turn the push notifications off. 

Which means that I will lose out in the games. I know it's not very important but I have spent a lot of time on these games and it would be a shame to get rid of them. 

Thank you. :-)