  The paper discusses the strategy-proofness of sports tournaments with
multiple group stages, where the results of matches already played in the
previous round against teams in the same group are carried over. These
tournaments, widely used in handball and other sports, are shown to be
incentive incompatible in the sense that a team can be strictly better off by
not exerting full effort in a game. Historical examples are presented when a
team was ex ante disinterested in winning by a high margin. We propose a family
of incentive compatible designs. Their main characteristics are compared to the
original format via simulations. Carrying over half of the points scored in the
previous round turns out to be a promising policy.
