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I'd like to investigate the possibility of establishing "double elimination" tournaments. Eight entrants may be optimal, although any of the multiples available for single elimination would suffice.
Here is a proposal. Each player would start with two game points. Following each round, points are DEDUCTED for results as follows: WIN -- No points DRAW -- one-half point LOSS -- one full point
Players would be eliminated whenever their point total drops to zero. Therefore, each entrant will play in at least the first two rounds.
In the first round, players would be paired normally according to ratings. In the second round, winners play winners and losers play losers, etc. and in successive rounds players are paired against others with point totals equal or within a half-point of theirs, as closely as possible. Also, to balance the opportunity, each player should have roughly the same amount of Blacks as Whites over the course of the tournament.
It may occur that an odd number of players would start a round, which could be resolved by issuing a bye to the lowest rated player with the fewest points, except if the tournament is reduced to three players, a round-robin round should commence until two players remain, and then match play until one is the winner.
There may be other flaws that need to be ironed out, yet the system would produce interesting games and results.