The Premier League of Darts is an annual competition where the best darts players of the world compete over several months for the title, and the prize of £275.000. However… the schedule chosen by the PDC is unbalanced: some matches between pairs of specific players will occur relatively often, while others will occur very rarely.
Measures to halt the spread of Covid-19 are having an enormous impact on the cultural sector. In some cases mathematics turns out to be very helpful.
Every January, the best chess players in the world compete in the TATA Steel Chess Championship, organized in Wijk aan Zee (The Netherlands). Among this year’s fourteen participants were Magnus Carlsen, world no. 1, coming into the tournament with an unbeaten streak of 104 matches, and Fabiano Caruana, the world no. 2.
In this article we discuss the following question: what is the optimal way to allocate the seats in the senate?