[dsuedvts] Chess crosstable tiebreaking

Some notes on breaking ties among places in single round-robin chess tournaments.

My ordering: 1-0.5-0 scoring, Games as black, Head-to-head result, Wins, Wins as black, Neustadtl (Sonneborn-Berger)

Avoid 3-1-0 (Bilbao scoring) to keep it a zero-sum game, initially.  Tie-breaking on number of wins brings it back.

Neustadtl demoted to last to avoid players deliberately throwing games, despite round-robin inherently causing that.  Better would be to alter prize structure.

Then Neustadtl applied recursively on tiebreak scores except Head-to-head.  This might be mathematically complicated.

Head-to-head could also look at tiebreak scores.

Compute tiebreak scores against the whole tournament, or just within the tied cohort?  Probably yields black getting draw odds.

Or, use the results of a preliminary blitz tournament to break ties.

Choice of tiebreak might affect what seed you choose, if allowed to.