Hey there,
So I'm a bit on the conservative side with tattoos and I say get a tattoo if it means something. Getting a tattoo because you want one isn't a great idea. I get you've liked BioShock since you were 7, but really, when you're 35 what if you fall in love with another game? Also, think about where you're getting it, because it can affect your future career choices etc.
I would suggest waiting a bit on the tattoo. If you absolutely want a tattoo like that, maybe make it a bit more generic, like gaming over BioShock. I personally know people who got lyrics of songs they loved since they were kids and now they don't like them that much. You will change over time, so I would really push you to think about it long and hard.
Small tattoos can sometimes cost a decent amount depending on location and detail. From the image you've attached I wouldn't expect it to be crazy expensive but costs depend on the artist and parlour. A good quote on that is "Tattoos are art. You get what you pay for", so please don't cut corners by going to a shady joint.
Also, just something I want to point out. If you're not completely sure of your tattoo idea atm, are you sure you'd be able to live with it in the future. And the design/colour I'm seeing may be hard to cover up (whether with tattoos or clothing).
End of the day it is, of course, your choice. I hope I didn't come off as attacking, because that was not my intention. Best of luck with whatever you choose to do, and feel free to
PM me if you want to talk about tattoos (I have one atm).
Cheers
Tort