Nate Silver: Bloomberg running probably won't have much effect on the race. [View all]
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Quite a few D primary polls included Bloomberg earlier in the year and he generally polled in the low single digits, around 2 or 3%. I'm not sure there's any particular reason to think he'd do better now.
https://projects.fivethirtyeight.com/2020-primaries/democratic/national/
So while it's fun to speculate what the effects will be (hurts Biden because he's a moderate? hurts Bernie/Warren because he'll attack them? hurts Mayor Pete because he'll steal his fundraising base?) the default assumption should probably be that there won't be much effect.
This is also a case where you should be watchful for media myopia (and a few people will tell on themselves). Bloomberg is a towering, highly influential figure in NYC, where much of the media lives. That doesn't mean there's going to be a constituency for him in Davenport, Iowa.