Like easy said, if you don't know much about it, don't do it. The market is extremely competitive. You need to know your stuff if you want to survive. I'm willing to bet a good 80+% of GSPs fail. There's the option of hiring someone who does know what they're doing, but are you willing to bet your business on someone you've never met?
Starting running your own servers for fun and learn from that. When you're ready, find something that will set your company apart from others, GSPs are a dime-a-dozen.
I can tell you from personal experience, that this is probably not the best time to start up a GSP. From the start, it seems like.. wow! I can do something fun, and exciting! (that is/was me). I have an ISP that has hit the 10 year mark this past June, and have been doing basic hosting/minor data center services that whole time. I got into the GSP business just under 2 years ago, when I saw an opportunity to purchase an existing one (Primary Target). And I can absolutely tell you, GSP is nothing like any other kind of hosting. The profit margins are seriously low, the market is super competitive, and honestly, it's a game of pennies. It's not that I went into the new business willy nilly. I already pay for bandwidth, being an ISP.. been a sysadmin for as long as I remember (15 years). At first you'll be fine, as a few servers are cool. When you top 25 or 50 servers, you're like.. hmm.. time to quit my job and do this fulltime.. though you'll find.. wait.. I can't afford to do that.
I'm not trying to discourage you in any way, just relaying my experiences. My biggest advice to you would be to not offer the list of games, but pick a game that you know inside and out, and build that.
Smaller startups nowadays cannot compete because they lack the scale of operations and knowledge to run a business. There is plenty of room in the GSP niche markets such as CS(S) hosting and localized services however, but if you don't see that now, you won't be able to enter that niche.
Years ago every server admin started a GSP. Nowadays, especially in Europe, the market is "devided" and you cannot compete on an European scale unless you're already "in" the club. The competition is heavy for the newcomers and smaller companies and without heavy funding they won't make it till the end of the year.
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