Gobble, I love you.
I was thinking mostly the same. Swiss (or Danish. Actually, in Italy we consider Swiss a variant of Danish, but the (awful) international-Wikipedia's article says it's the contrary. Whatever.) would be the solution of many issues we had in the first edition of the VDip Cup. Starting from dropouts.
Further, for the same reason it can handle dropouts, it can handle any number of players who want to sign up for the Cup: no need to have an exact particular number (as 16 in the last) to make round robin groups. No sign-up requests rejected.
Now, what you said made me have a hundred ideas. But I'd start...from the start! :)
The 2 main things are: 1) The Tournament Formula 2) what a Match should be.
1) The Tournament Formula.
I'd like to have a pure Danish. No playoffs. The reason why Danish has been invented was to have an accurate Final Standings as close as possible to the one Round Robin provides, WITHOUT playing all the Matches a Round Robin (RR) requires. Let's stay on 16 competitors for examples, but they could be many more! A RR requires that each competitor plays 15 Matches, one against each other competitor. A Danish can give you a reliable Final Standings in only 7 Rounds (Matches). The accuracy of this Standings in relation of the number of Matches played (half) looks a miracle!
Another reason is that, unlike knock-out Tournaments, no-one is eliminated. So everyone is fighting until the end for a better placement. There are no unuseful matches in a pure Danish or Swiss. In the current Tour's RRs we had dropouts in the last turns mainly because it makes no sense, for an already eliminated player, to play his last 2-3 Matches when the first 4 went so bad: being eliminated as 5th or 8th of the group, where's the difference? you don't play.
Danish instead gives to each player, who has been unlucky in the first rounds, the chance to recover if they play well their last turns. And this is a REAL chance because, as you know, if you did bad in the first rounds you surely won't meet champions in the subsequent 1-2 or 3 rounds (depending on how bad you did first and how well you did then).
Now, the goals of Swiss/danish would be lost if we introduce playoffs at some point. Because:
a) No accurate standings. Only the winner. So the Champion could have eliminated the 2nd in Quarterfinals and the 3rd in Semifinals, winning the final against the 4th who qualified in the other bracket. Also, somebody may want to know whether he ended 20th, 15th or 9th: "Next tournament I'll do better!!", "Well..I'm 9th. Not a Master but above average anyway...". And not simply "Eliminated soon" or "Eliminated in the Quarters".
b) Who did bad in the first turns will give up. He knows he can't recover and qualify in the last 1-2 rounds. (Never seen a Danish/Swiss of only 5 rounds. And I've played hundreds of them, at Bridge). The problem wouldn't be solved increasing the number of rounds because players in last positions don't have a reason to play last 1-2 Rounds anyway. The problem is that they will be eliminated because of playoffs. So the goal of having motivated players all-Tournament-long is lost for sure.
Danish is already a middle-way between Round Robin and Knock-out. To dirty it with a knock-out phase would waste its beauty, IMHO.
So full Danish. (Not Swiss. In Swiss players who played already once may not be paired again. Although it may be boring (or not. and it doesn't happen that often anyway) the pairing-rules may be so loooooong. Unuseful complication, IMHO)
Can anyone provide arguments in favor of playoffs? Please don't say "The Final Match is exciting!". Being all the other competitors eliminated, the only people who follow the Final are the Finalists. They would be the only 2 people excited. And a Swiss' last round could be even more exciting, if the top players are balanced you could have up to 4-5 people involved in the battle for the Title of Champion. And I would be excited if before last Round I'm 7th and I can see the Bronze Medal only a good win (and a little luck) away.
2) The Match.
Gobble, you won't believe it, but when, in the other thread, I was trying to set up a "perfect Match", I was thinking about a Danish Match.
Not a Knock-Out Match: in a KOM you don't care what maps are played because the only thing you care is who is the stronger, so who's qualified and who's eliminated. You don't need to compare the result of the Match with another Match.
In Danish (and in RR) the matter is different. Results have to be compared because they will be put on the same Standings Board. The Result must say NOT ONLY who's the stronger (if any: draws are allowed), but ALSO HOW MUCH the stronger is stronger. So results must be comparable, how do we get this?
First thing is Matches must be equal. As you can't let 2 basketball (or baseball) teams choose the dimensions of the field or the weight of the ball, same way you can't let the players choose the maps (so no default maps. wow! No discussions and, mainly, no all tournament played on the same map: boring!).
Second thing is that the maps must be meaningful, they must express the real difference (if any) between the players. Gobble, I didn't get how many games you want a Match be of. Say we make it 5 games, here's an extreme example, to make the concept clearer.
What if 2 players with a little slighty difference in their skill choose all Duos? a Match of 5 Duos could end 10-0 only because of that little difference.
What if 2 players with a considerable difference in their skill choose 2 GvR and a Duo? Russia will win all games and the Match will end 6-4 (basically a draw) because of the better player winning the Duo.
Now if the first 2 players had a skill level between the last 2 players, the situation would be this:
The Best player = 6 pts
The 2nd player = 10
The 3rd player = 0
The worst player = 4
A Danish (or a RR) doesn't work this way. So I propose this Standard Match:
- a couple of GvI that detects considerable skills' differences.
- a couple of FvA that detects lighter skills' differences.
- a Duo that detects any lightest skills' difference (if any).
The previous example would be put in the right way, with the best winning 10-0 or 8-2 depending on HOW MUCH he's better. The nearly-equal players doing their 6-4. And the worst player having his 3, 2, 1... points depending on HOW MUCH he was worse.
Now, you can look at a Match as 3-phases trial, increasing difficulties from phase to phase, where the players are tested.
A Standard Match's Result is always comparable with other results.
A Match on 3 different maps is not boring. - You make happy all GvI, FvA and Duo supporters. Or at least you don't do wrong to anyone. - The current tournament looked a "GvI cup" and, if I'm not wrong, your proposal looks like a "Duo cup". Instead, with 3 different mandatory maps, you can call it "1v1 CUP".
So, in the end, I propose a 7 Rounds Danish with that Standard Match.
There are many more issues, Devonian said some. But I'd start from here.