These supermajoritarian proposals mark a significant departure from our normal majoritarian processes and would often permit minority political interests in one House to thwart the electorate's most recent expression of support for the policies offered by a majority of the representatives it had elected.
Source: wiktionary
The core of Ackerman's idea is to offer the Executive substantial emergency power in exchange for the political safeguard of a supermajoritarian escalator.
Source: wiktionary
Moreover, many things that win supermajoritarian approval do so through what John Rawls called an overlapping consensus and what Cass Sunstein calls incompletely theorized agreements.
Source: wiktionary