This is not how REST works ;)

In REST it is that you only know for 100% the root resource which is "http://urbangame.patronage.blstream.com/api"

Rest of paths that shows the resources is contained in response when root is queried.
It returns something like:

    {
      "_links" : {
        "self" : {
          "href" : "/api"
        },
        "games" : {
          "href" : "/api/games"
        },
        "login" : {
          "href" : "/api/login"
        },
        "register" : {
          "href" : "/api/register"
        },
        "userGames" : {
          "href" : "/api/my/games"
        }
      }
    }

It's like that in order when there are changes in paths to resources. That makes server transparent in way of relocating resources. So application will not need any modification when resources will change. [ eg. reason of server resource change: new version of api, some additions etc]