This is a game for two players (Blue=Ann and Red=Beth), which are medical doctors. The circle represent villages on an island. The villages are connected by roads as shown.
Each doctor maintains two offices each, in two villages, one for before noon, and one for afternoons. Everybody on the island sees a doctor on average once a year, and people always go to the doctor's office closest to them (in terms of number of roads they have to travel). We assume that people can wait half a day, so all four offices are options. In case of a tie, there are very slight preferences of the population towards the doctors, split equally, so each doctor could expect "half a patient". Both doctors want to have as many patients as possible. After each click, the colored parts of the cities indicate those people seeing the corresponding doctor.
Click the button "seq2 Ann---Beth" to place Ann's first office, Beth's first office, Ann's second office, and Beth's second office. Remember that the game is still supposed to be played simultaneously, so all choices are communicated to the referee simultaneously, who then clicks the choices in sequentially as described. If the game is over, you have to click the button again.