  This paper introduces a natural extension of the pair-comparison-with-ties
model of Davidson (1970, J. Amer. Statist. Assoc.), to allow for ties when more
than two items are compared. Properties of the new model are discussed. It is
found that this "Davidson-Luce" model retains the many appealing features of
Davidson's solution, while extending the scope of application substantially
beyond the domain of pair-comparison data. The model introduced here already
underpins the handling of tied rankings in the "PlackettLuce" R package.
