Editing Highest averages method (section)

===Adams' method===
Adams' method was conceived of by [[John Quincy Adams]] after noticing Jefferson's method allocated too few seats to smaller states.<ref name="MAA-2020" /> It can be described as the inverse of Jefferson's method; it awards a seat to the party that has the most votes per seat ''before'' the new seat is added. The divisor function is {{Math|1=post(''k'') = ''k''}}, which is equivalent to always rounding up.<ref name="Gallagher-1992" />

Adams' apportionment never exceeds the upper end of the [[quota rule|ideal frame]], and minimizes the worst-case underrepresentation.<ref name="Pukelsheim-2017-1" /> However, like Jefferson's method, Adams' method performs poorly according to most metrics of proportionality.<ref name="Gallagher-1992" /> It also often violates the [[Quota rule|lower seat quota]].<ref name="Ichimori-2010" />

Adams' method was suggested as part of the Cambridge compromise for apportionment of [[European Parliament|European parliament]] seats to member states, with the aim of satisfying [[degressive proportionality]].<ref name="EU-2011" />