You Can Get There From Here (or, the Theorem in the Tagline)

This blog has been operating under the subtitle “Three Implies Chaos” since 2012. Long-time readers know the phrase pulls multiple duty: Li and Yorke’s period-three theorem from chaotic dynamics, Arrow’s theorem on preference aggregation, the Gibbard-Satterthwaite theorem on strategic manipulation, and the McKelvey-Schofield chaos theorem on multidimensional voting. Each of these results says, in its … Read more

Dispatches from the Underground: March 20, 2026

A new recurring feature, starting this week. A few items from the news — sometimes updates to arguments this blog has already made, sometimes new events the existing framework illuminates without quite rising to a full post — followed by a couple of things we’re watching that haven’t ripened yet. Everything here is shorter than … Read more

Honest and Effective (Or, “Montana Has a Type”)

On March 5, at 4:52 p.m. Mountain Time, Kurt Alme filed to run for the United States Senate in Montana. At 4:55 p.m., incumbent Senator Steve Daines withdrew from the same race. At 5:00 p.m., the filing deadline closed. At 5:02 p.m., Daines endorsed Alme. Jon Tester, Brian Schweitzer, Steve Bullock — none of them … Read more