| Competing in location In the morning, two coconut vendors must choose, independently of each other, where in an island with four sectors, 0, 1, 2, 3 to set up their stands: 2 0 W The name of a sector indicates how many hundreds of visitors locate in it. Each visitor will buy one coconut from the closest vendor; if the vendors are equidistant to a sector, then each captures half of the sales to it. Summarized in a matrix, vendors A, B would get these sales, depending on their chosen locations: A B 0 1 2 3 0 3, 3 2.5, 3.5 2, 4 1.5, 4.5 1 3.5, 2.5 3, 3 2.5, 3.5 2, 4 N 4, 2 3.5, 2.5 3, 3 2.5, 3.5 3 4.5, 1.5 4, 2 3.5, 2.5 3, 3