When Hillary Clinton recently floated the idea of choosing Barack Obama as her running mate, she won political points without being taken seriously (especially by Obama). The primary season has turned into the kind of slog and slugfest that makes opponents more opposed to each other, not less. But humor me, for a moment, and imagine that the kind of reconciliation that would allow them to be running mates is possible. Not to mention the best outcome for the party.

But which should it be: Clinton-Obama or Obama-Clinton? In fact, voters in November could actually endorse both versions of the ticket—truly, two presidents for the price of one. How? The Constitution's 25th Amendment allows for a new paradigm of political teamwork: The two Democratic candidates could publicly agree to take turns in the top slot.

Adopted in 1967 in the shadow of John F. Kennedy's assassination, the 25th Amendment allows presidents unilaterally to transfer presidential power to their vice presidents and enables presidents, with congressional consent, to fill a vacancy in the vice presidency should one arise. By creatively using the constitutional rules created by this amendment, the Democrats can, if they are so inclined, present the voters in November with a new kind of balanced ticket.