It's my understanding that one of the most methodologically rigorous papers is Gilens and Page (2014) [0], which analyzed 1,779 policies over 20 years and found that when rich and average Americans disagree, the rich win 90% of the time, regardless of how many regular citizens support or oppose the policy.

[0] https://archive.org/details/gilens_and_page_2014_-testing_th...

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