PAIRING DEVELOPMENT

WEIGHT MODEL

Weights in McMahon Pairing (January 2012) is an article summarising the weight models used in MacMahon and Open Gotha and proposes generalisations and extensions.

Weights in McMahon Pairing-REVISED (May 2015) provides a summary of Weights in McMahon Pairing with corrections and completions.

McMAHON BAR

Determination of the McMahon Bar (August 2015) Develops a Monte Carlo algorithm to establish the bar in a tournament with R rounds from the player entry per grade. It shows that there is a unique "Equilibrium Grade" Gc in Randomly paired and Swiss tournaments having the properties: The "mid-score" Smid = R/2. The above properties carry over to McMahon tournaments on making the following changes: The toursim program is written as a general tournament simulation program, and used to generate all the data presented in the document. The program and data is released under the GNU General Public Licence.

EXACT SCORE DISTRIBUTION

Exact McMahon Score Distribution (September 2016) develops an algorithm for the individual scoring probability distribution in small Swiss and specialised McMahon tournaments.

OPTIMISATION OF PAIRING ALGORITHMS

Examine ranking and pairing quality for different pairing strategies and weight models via Monte-Carlo tournament simulation to improve the performance of the pairing algorithm. To do.

GODRAW-LINUX

Complete rewrite of GoDraw in Linux. Very similar interface. Gabow N cubed matching. Any weight model. To do.