When a product team debates which feature to build next, they're usually arguing about the wrong thing — not the feature, but which future they're implicitly betting on. The 18th-century mathematician Condorcet noticed something unsettling about group decisions: when individuals each rank options sensibly, their collective votes can produce a cycle with no stable winner, a phenomenon now called Condorcet's paradox. What this means practically is that your roadmap debates may not be deadlocked because people disagree on priorities — they may be deadlocked because the group is inadvertently cycling through incompatible futures, each person's rational preference secretly depending on a different assumption about where the market is headed. The fix Condorcet himself couldn't fully solve, but Kenneth Arrow formalized later: you can't aggregate individual preferences into a coherent group choice without first surfacing the hidden ordering beneath those preferences. In product terms, that means the meeting before the roadmap meeting — the one where you force explicit bets about the external world — is where decisions actually get made. Everything after is just arithmetic.

Think about the last roadmap or prioritization cycle that felt unresolvable — what unstated assumption about the future was each person secretly defending?

Drawing from Enlightenment Social Mathematics / Social Choice Theory — Marquis de Condorcet (Essay on the Application of Analysis to the Probability of Majority Decisions, 1785)