Equilibrium player choices in team contests with multiple pairwise battles

We consider games in which team leaders strategically choose the order of players sent to battlefield majoritarian contests with multiple pairwise battles as Fu et al. (2015). one-shot order-choice and battle-by-battle sequential player choice games. show that long number on each is same battles, equilibrium winning probability a ex ante expected effort multi-battle contest are independent whether players' assignments or sequential. This total coincide those where matching chosen totally randomly an equal lottery by organizer. Finally, we how choices add subtleties equivalence result examples.