Keeping scores

Consider a sports competition in which participants alternately perform a scored task (such as the distance a discus is thrown), and a list of the top m scores is updated throughout. We consider the average number and distribution of records among the top m throughout and at the end of the competition. We also answer questions concerning the number of times the list changes, when each change occurs, and the waiting times between changes. We touch on results concerning changes in l-records and the values within the list.