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Just a note that game-specific tournaments are often held on other sites. 
But there is no reason they can't be held here, in fact CV has many games
that cannot be played on these other sites.  I just completed a Loop Chess
(Chessgi) event in a 4 person round-robin at BrainKing.  A while before
that I was in a larger Gothic Chess round-robin.  In a Round Robin,
everyone plays everyone. 

With large numbers of people (should that happen) a Swiss System can be
used.  After Round 1 people with 1 point play against others with 1 point,
while the 0-point players play other 0-point players [when possible].... in
Round 3, 2-point players play other 2-point players, etc.  No one is
eliminated.  If 100 people play we'd see (assuming no draws) the
following occurances of maximum points:

End of Round 1 - 50 people with 1 point
End of Round 2 - 25 people with 2 points
End of Round 3 - 12 people with 3 points
End of Round 4 -  6 people with 4
End of Round 5 -  3 people with 5 points
End of Round 6 -  2 people with 6 points (1 person had to get a bye)
End of Round 7 -  1 person with 7 points
             
The point ot this illustration is that only 7 rounds were needed to
reduced 100 players down to one winner.

Other tournament systems consist of several elimination Rounds.  For
example:  Round 1 might have 4 different Round-Robin groups going on (like
4 groups of 5 players, each playing 4 games); Then the Winners of each
Group emerge to play in a Second Round-Robin against each other.