I'm always seeing posts on Facebook from frustrated users who are asking their friends to not send them game invites anymore. Facebook doesn't make it real obvious, but you can block those annoying game invites.
There are two ways to do this. First, you can block specific user's from sending you invites. And the second is to block a specific game or app.
To block specific users from sending you game invites, first click on the little cog in the upper right corner of your Facebook page. It looks like this.
Next, click on "Blocking" on the left side of the screen.
Then scroll down to the "Block app invites" section, type the name of the friend that you don't want to receive game invites from anymore and hit enter. Repeat for any other friends that you don't want to receive game invites from.
The second method is to block specific Facebook apps. You can do this on the same page, you just scroll further down to the "Block apps" section which is pictured below.
In this section, you just type the name of the app that you want to block (e.g. Farmville), and hit enter. Repeat that for each additional app. This will also prevent them from showing up in your news feeds!
To help get you started, I posted a list of all the apps I have blocked. Some of them are duplicated because there are more than one apps with the same name. Not all of them are games per say... I would almost consider some of them a virus because they post false/fake stuff on your timeline and your friends walls to try to get them to grant the app rights to their accounts too.
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