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I just got back from a fourday camping trip for the Fourth. While roasting marshmallows and hiking along trails, I managed to fall into a few puzzles. Justin posed a puzzle that we’d formulated a while ago: a multiperson variation … Continue reading
Inspired by the upcoming elections, I spent a little time yesterday trying to think up an example in which people could potentially have logically consistent beliefs individually but as a whole produce logically inconsistent outcomes. The result of that effort … Continue reading
The problem asks you to show that . If , then the solution is quite easy. Set the gradient equal to zero and solve the system of equations for . Since the function is convex, this is the minimum point, and … Continue reading