Game theory has been a heavy focus of research for at least the past 80 years. Social networks have been studied for a great many decades by social scientists, but the rapid evolution of modern social media has spawned a huge increase in research in social network attacks. I have not seen much in the way of social network attack combined with game theory, although there are many other research topics which incorporate game theory in their approach.
However, since attackers are prepared to carry out huge data mining trawls of social media in order to see what private information they can extract, I have no doubt the area will attract some considerable interest before long.
I can recommend you log into Google Scholar and try a few searches for yourself, using keywords such as "social network attacks", "game theory", "social media data mining attacks" and so on until you start to find works that might interest you. You will need to be persistent, and trawl through a lot of stuff that may not be really relevant for you.
I can recommend my speed searching technique for you to make your searching more efficient. Make a list of the key search terms you think will be most suited to your search. Start with the first keyword/s and input these into the Google Scholar Search Box and press the search button. You should get a huge list of hits, especially if you leave search words unenclosed in quotes. However, you may not get too many that include all the search terms. If you are sure of the search terms you want, you can enclose them in quotes, and you will only get those results which contain the search string within the quotes, such as "game theory". The more words you have in a row, the fewer hits you will get.
So start from the top of the first results page by reading the title to see if it looks relevant or interesting. If so, then, and only then, read the Abstract. That should take no more than 20-30 seconds. If you are not interested, move quickly on. However, if you are interested in finding out more, then check to the right hand side of the page to see if there is a pdf download option. If there is, you should be able to download this file for free. Do not click on the title, because if you do, you may be taken to a pay site, where you won't get access without paying a heap of money. Little point in paying if it turns out it is no use to you after you look into it. Now assuming you have successfully downloaded a free pdf, open it and go straight to the Conclusion to see what the authors found. They may have mentioned a bit of this in the Abstract, but they may not. If you are interested, now go to the Introduction, and scan quickly to the last part of the introduction, where you should be able to see how the paper is structured. You can now see where the "meat" you are interested in can be found - say it is in Section 5, then go straight to Section 5, and quickly scan the details you find there. Assuming it is of use to you, you have found that out in less than 2 minutes, and you simply save it in the appropriate folder for a full read through later. This way, you can sit down for say a couple of hours and find a good number of very relevant papers for your research. You may have to read far more than you want, but you won't have to read them all in great detail before discovering they are no use to you. Work smart, and you can cover a great deal of ground.