We study round-robin and elimination tournaments with three players where one player is dominant, i.e., he has a higher value of winning than his weaker opponents. In every stage, a pair-wise match is modelled as an all-pay auction. We demonstrate that the expected payoff of the weak players in...

We study a best-of-three all-pay contest with two players in which the first player to win two games wins the contest. Each player has a value of winning the contest as well as a value of winning a single game. It is assumed that a player’s value of winning a game in his home field is...