Is there any literature on the order structure coming from round-robin tournaments? I play games on littlegolem and the tournaments are mostly 5x5 round-robins. I noticed at the end, after sorting for wins and "sum of scores" all the matrices look the same. $$ \begin{array}{c|ccccc|cc} 1 & & 2 & 2 & 2 & 2 & 8 & 24\\\\ 2 & 0 & & 2 & 2 & 2 & 6 & 12 \\\\ 3 & 0 & 0 & & 2 & 2 & 4 & 4 \\\\ 4 & 0 & 0 & 0 & & 2 & 2 & 0 \\\\ 5 & 0 & 0 & 0 & 0 & & 0 & 0 \end{array}$$
Can all tournament grids be ordered this way even for 5x5? Is there literature on partial orders or well-orders induced from tournaments?