It is impossible to identify a user or request as unique
since duping is trivial.
However, there are a handful of methods that, combined, can hamper cheating attempts and give a user quasi-unique status.
I know of the following:
Are there more ways to track non-authorized (non-login, non-authentication) website visitors?
There are actually many ways you can detect a "unique" user. Many of these methods are used by our marketing friends. It get's even easier when you have plugins enabled such as Java, Flash etc.
Currently my favorite presentation of cookie based tracking is evercookie (http://samy.pl/evercookie/). It creates a "permanent" cookie via multiple storage mechanisms, the average user is not able to flush, specifically it uses:
I can't remember the URL, but there is also a site which tells you how "anonymous" you are based on everything it can gather from your web browser: What plugins you have loaded, what version, what language, screensize, ... Then you can leverage the plugins I was talking about earlier (Flash, Java, ...) to find out even more about the user. I'll edit this post when I find the page whcih showed you "how unique you are" or maybe somebody knows »» actually it looks as if every user is in a way unique!
--EDIT--
Found the page I was talking about: Panopticlick - "How Unique and trackable is your browser".
It collects stuff like User Agent, HTTP_ACCEPT headers, Browser Plugins, Time Zone, Screen Size and Depth, System Fonts (via Java?), Cookies...
My result: Your browser fingerprint appears to be unique among the 1,221,154 tested so far.