With regard to the previous post, I discovered that Nate Silver agrees with me, which is always reassuring. He also makes I point I didn't make, which is that small increases in approval may translate into large increases in probability of reelection, because a lot of elections are close.
Reading some of the chat on Intrade's website, I realized that I had overlooked something. The number I quoted was the probability that Obama gets elected president. But for that to happen, two things must happen. First, he must get the nomination. Then, given that he has gotten the nomination, he must get elected. The Intrade markets estimate the probability of him getting the nomination at 92%. (For example, he might for some reason decide not to run. Or he might get caught up in some scandal. Or have health problems. None of these things seems very likely, but they could easily add up to 8%.) If his overall probability of getting reelected is, say, 60%, that implies his probability of being reelected given that he has gotten the nomination is 65% (.92 x .65 = .60). And 65% is a lot closer to my completely subjective and unreliable estimate of the probability that he could defeat the Republican candidate, which was around 2:1, or 67%.
So perhaps it's just as well that I didn't buy in. On the other hand, my point from before still holds: Whatever the true probability was before Osama died, it's got to have gone up a little.
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