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

TL;DR

This paper introduces an extended Bradley-Terry model for multiplayer games, adapting a recent algorithm, and demonstrates its effectiveness on synthetic and real card game datasets.

Contribution

It presents a novel extension of the Bradley-Terry model for multiplayer settings and adapts an existing algorithm to this new context.

Findings

Effective modeling of multiplayer game rankings

Successful application to synthetic datasets

Validated on real card game data

Abstract

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.