Suppose that, lucky you, you’re the coach of a team given a No. 8 seed in the N.C.A.A. tournament bracket.
This is a less-than-ideal position: provided that you win your first-round game, you’re due to face the No. 1 seed in the second round.
But a friend of yours — another coach who owes you a favor — calls you with a “Let’s Make a Deal” proposition.
His team is seeded No. 10 in another regional. He offers to swap with you: you get his No. 10 seed and he gets your No. 8. The teams in each region are otherwise about as strong as one another.