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I invented a pencil and paper game that'd be interesting to people who like Hex, Go, etc.
Since there's really nothing I can sell, nor any sort of special pieces, cards, boards, etc needed for it (being a P&P game), how can I publish it in some way to get it "out there"? I'm not really trying to make any money off it anyway.
Edit: If anyone has anything to add about the publicity aspect of this, I would like to know about that too.
If your game doesn't need any materials (or those would be more easily to come by on their own, such as graph paper), I would suppose the elements of your game you're trying to ship would be the rules. Since you're not trying to distribute them commercially, the only real problem is to get it out there.
If I'm correct so far, here's what I'd do:
An important part for both you, as well as players of your game, is the licence you intend to release it under. A licence determines what you intend to do, and what people may do with it - for example, whether they may redistribute it, and whether they need to give credit to you.
If you're willing to allow remixing and redistribution, there are a number of tested licences available for choosing, and the GNU project provides some recommendations about what you choices. They are rather software-oriented, so you might want to have a look at the Creative Commons licenses as well, which work for every type of work, or specific game licenses such as the OGL (Open Game Licence).
This is an important step, seeing as some licences aren't revokeable, and depending how popular your game gets, you'll be on stable ground legal-wise. Even for smaller games, this step is worth reading into for a little bit. Of course, until you decide on a licence, your country of origin's default copyright laws will apply, but a licence will still be helpful with attribution of the original author, for example if you end up hosting it on some friend's webspace.
The easiest, probably cheapest way would be to set up a webpage from where people would be able to download a version of your game, and possibly get additional information about it, such as errata or update information, and maybe even a discussion forum. This has a few advantages over any print-reliant method:
Making a web page dedicated to your game (as opposed to a blog post in your [insert your probably unrelated topic here] blog) would likely be preferrable, as it will not only appear more serious, but also give you the possibility to adjust the features and layout of the page to your liking.
If you don't have any experience in making web pages, you could rely on one of many web services that offer free blogs and a user interface that doesn't require HTML or programming skills, or find a friend or person online to put one up for you. There are too many possibilities to name them all, and more specialized communities at that.
Of course, asking a professional web designer would be a possibility if you're willing to spend the money.
Once you have your web page up and running, you probably want people to find it. I won't be getting into much detail here since it's not directly a part of your question, but advertising it on social media, your local game stores, local and online playgroups that play similar games (as you mentioned Go), general online game communities, and friends are general good starting points in my experience.
This question on Stack Academia has some good suggestions: Where to publish (recreational) mathematics without a PhD?
They're always looking for fresh content!
Note that the first modern Sudoku puzzle was originally published in Dell Magazines in 1979, but it was another 25 years before it achieved widespread, international adoption. (Important to note that mass adoption was driven by an entrepreneur who recognized how to monetize it.)
By contrast, Sprouts is said to have spread like wildfire among math departments (it was created by Conway) but seems to be still relatively unknown.
You can create an entry/page for your game on BoardGameGeek and upload your rule book to the site. Once (if) the moderators accept your entry, your game will be "published".
And because a lot of board game players go to BGG, you are likely to get some traffic to your game entry if all you do is talk about it in different forums.
If you want to spend money publicizing your game, BGG also has on site paid advertising. That is a focused and targeted audience, so your money is well spent.
