I think this is all very reasonable and I have been working under the assumption of one votes in PA leading to a 1 in 2 million chance of flipping the election. That said, I think this might be too conservative, potentially by a lot (and maybe I need to update my estimate).
Of the past 6 elections 3 were exceedingly close. Probably in the 95th percentile (for 2016 & 2020) and 99.99th percentile (for 2000) for models based off polling alone. For 2020 this was even the case when the popular vote for Biden was +8-10 points all year (so maybe that one would also have been a 99th percentile result?). Seems like if the model performs this badly it may be missing something crucial (or it's just a coincidental series of outliers).
I don't really understand the underlying dynamics and don't have a good guess as to what mechanisms might explain them. However, it seems to suggest that maybe extrapolating purely from polling data is insufficient and there's some background processes that lead to much tighter elections than one might expect.
Some incredibly rough guesses for mechanisms that could be at play here (I suspect these are mostly wrong but maybe have something to them):
Thanks for this!
My thinking has moved in this direction as well somewhat since writing this. I'm working on a post which tells a story more or less following what you lay out above - in doc form here: https://docs.google.com/document/d/1msp5JXVHP9rge9C30TL87sau63c7rXqeKMI5OAkzpIA/edit#
I agree this danger level for capabilities could be an interesting addition to the model.
I do feel like the model remains useful in my thinking, so I might try a re-write + some extensions at some point (but probably not very soon)
Hey Mathilde! Thanks for your thoughtful comment. Curious to hear the mechanism behind eating too many healthy things leading to your issues.
Also, interesting about the supplements, hadn't heard that before. I am a bit ignorant on these things but try to offset that by buying the more expensive versions of supplements when trying them for the first time.
Heartening to hear that you figured it out after a few years!
I think it's very reasonable to say that 2008 and 2012 were unusual. Obama is widely recognized as a generational political talent among those in Dem politics. People seem to look back on, especially 2008, as a game-changing election year with really impressive work by the Obama team. This could be rationalization of what were effectively normal margins of victory (assuming this model is correct) but I think it matches the comparative vibes pretty well at the time vs now.
As for changes over the past 20+ years, I think it's reasonable to say that there's been fundamental shifts since the 90s:
Agree that 5-10% probability isn't cause for rejection of the hypothesis but given we're working with 6 data points, I think it should be cause for suspicion. I wouldn't put a ton of weight on this but 5% is at the level of statistical significance so it seems reasonable to tentatively reject that formulation of the model.
Trump vs Biden favorability was +3 for Trump in 2020, Obama was +7 on McCain around election day (average likely >7 points in Sept/Oct 2008). Kamala is +3 vs Trump today. So that's some indication of when things are close. Couldn't quickly find this for the 2000 election.