Is a Bigger House Better?
Sent to the NY Times in the intention to follow up the debate
on ‘Sunday Review’
In
order to increase the closeness between voters and their representatives and
make Congress less dysfunctional, Gail L. Johnson
proposes to reduce the size of the House of Representatives districts and increase
House membership from 435 to about 3,100 (‘Sunday Dialogue: Is a Bigger House Better?’, Sunday January, 13). This way, voters
would have personal knowledge of the people they sent to govern in Washington.
But as some of his critics note, this would make the House unmanageable.
Let's look beyond
the confines of one country. By trial and error, most countries have ended up
with first house sizes that correspond to the cube root of their populations.
For a US population of 315 million, this would mean 680 seats in the House. The
US followed the cube root pattern up to the early 1900s, when the House size
was frozen at 435. Yet the population kept growing. In contrast, most countries
change the size of their houses when the population changes. The cube root of
the population rule has been known for more than 30 years. (See, most recently,
Rein Taagepera, Predicting Party Sizes, Oxford University Press,
2007).
Why does cube root
work for most countries? Apply the engineering notion of minimizing major cost.
Consider the communication load on a single representative. With too
few representatives, each has too many constituents. With too many
representatives, their communication load inside the assembly shoots up.
Cube root of population turns out to be optimal. The US House needs to be
bigger than the current one, but much smaller than in Johnson’s proposal.

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