On rankings in multiplayer games with an application to the game of Whist

We propose a novel extension of the Bradley-Terry model to multiplayer games and adapt a recent algorithm by Newman [1] to our model. We demonstrate the use of our proposed method on synthetic datasets and on a real dataset of games of cards.

Alexis Coyette, Charles Modera, Candy Sonveaux, Judicaël Mohet, Francçois-Grégoire Bierwart, Sylverio Pool Marquez, Jarod Ketcha Kouakep, Cédric Simal, Komlan Fiagbe, Violaine Piengeon, Martin Moriamé, Justine Bodart, Marie Dorchain, Maxime Lucas, Rommel Tchinda Djeudjo, Gianluca Peri, Eve Tilman · 2026