Why Does One Team Skip the First Round? The Numbers Do Not Divide
By the BrainSnail editorial team. How these articles are written and checked, and how to tell us when one is wrong.
Advancing a competitor without them playing looks like favouritism and is usually arithmetic, because knockout brackets only work cleanly when the entry count is a power of two.
Why it is needed
A single elimination tournament halves the field every round, so it fits together perfectly when the number of entrants is two, four, eight, sixteen and so on. Any other number leaves somebody without an opponent at some point. The standard fix is to advance enough competitors through the first round without playing that the remaining field reaches the next power of two. With thirteen entries, for example, three play and the rest sit out the first round, leaving eight for the second, and from there the bracket runs cleanly to the end.
Who gets one
The allocation is a decision with consequences and the conventions are settled:
- •The highest ranked or seeded competitors, in most tournaments
- •Which rewards performance earlier in the season
- •Sometimes the host, or a defending champion
- •Occasionally allocated by draw where fairness matters more
- •Never to the lowest ranked, which would be seen as arbitrary
- •The number granted equals the shortfall from a power of two
What it is actually worth
Skipping a round is a substantial competitive advantage and the size of it is frequently underestimated. It removes a chance of losing to a weaker opponent on a bad day, which is the largest risk a strong competitor faces in a knockout format. It saves a match worth of fatigue and injury risk, which matters enormously in tournaments played over consecutive days. It allows more time to study the eventual opponent. Against that, some competitors report being undercooked on returning, having missed the chance to settle into the conditions while everybody else has played.
The alternatives to granting one
Tournament designers have other ways to handle an awkward field size and comparing them shows what is being traded. A preliminary or qualifying round played before the main draw brings the field down to a power of two without anybody skipping anything, at the cost of extra fixtures and dates. A group stage at the start guarantees every entrant several matches and removes the problem entirely, which is why most large international tournaments now begin that way. A double elimination format keeps losers alive and softens the unfairness of a single bad day, at the cost of complexity that spectators find hard to follow.
The other meanings of the word
The term carries several distinct senses across different sports and mixing them up causes confusion. In league formats played with an odd number of teams, it describes the team that has no fixture in a given week, which is a scheduling gap rather than an advantage. In American football it names a scheduled week off during the season, granted to every team in turn. In cricket it means something else entirely, namely runs awarded to the batting side that the batter did not hit. Only the first of these has anything to do with tournament structure.
The takeaway
Knockout brackets only resolve cleanly from a power of two, so when the field is any other size enough competitors are advanced without playing to bring the next round to that number. They usually go to the highest ranked, which rewards earlier performance. The advantage is larger than it looks, removing an upset risk and a match worth of fatigue.