Hybrid Hamilton-Webster and the Greek apportionment

Seat biases of apportionment methods for proportional representation

In proportional representation systems, an important issue is whether a given apportionment method favors larger parties at the expense of smaller parties. For an arbitrary number of parties, ordered from largest to smallest by their vote counts, we calculate (apparently for the first time) the expected differences between the seat allocation and the ideal share of seats, separately for each pa...

Fairness in Apportionment

Voting power apportionments

I propose apportioning the United States House of Representatives so as to equalize, to the extent possible, the voting power of the individual voter. Surprisingly such an apportionment falls squarely within the traditional apportionment paradigm and is, in a very precise sense, midway between the Hill method and the Webster method of apportionment.

The Hamilton Apportionment Method Is Between the Adams Method and the Jefferson Method

The Adams apportionment method is the only divisor method that consistently favors small districts relative to the Hamilton method. The Jefferson method is the only divisor method that favors large districts relative to the Hamilton method. These statements hold for the Balinski and Young [3] interpretation of "favoring small/large districts," and for the partial "majorization ranking" introduc...

A Note on Relaxed Divisor Methods

The purpose of this note is to add some important properties to the results obtained in [2]. Specifically, it is shown that (i) an apportionment for relaxed divisor methods remains unchanged over an interval and (ii) any relaxed divisor method approaches the Webster method as the house size increases.