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A Mathematical Approach to Proportional Representation
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Table of Contents

1. The Life and Logic of Lewis Carroll.- 1.1 Government by Logic.- 2. The Principles of Parliamentary Representation.- 2.1. An Outline of Carroll’s Argument..- 2.2. The Central Argument in The Principles of Parliamentary Representation.- 2.3. Carroll and the Cambridge Mathematical School of PR: Arthur Cohen and Edith Denman.- 3. An Analysis of Carroll’s Argument.- 3.1. Carroll’s Scheme of Proportional Representation.- 3.2. The Desiderata: In at the Deep End.- 3.3. The Droop Quota in a Two-Party System.- 3.4. The Representation of the Droop Quota.- 3.5. Walter Baily and the Number of Voters Unrepresented.- 3.6. J G Marshall and the Two-Person Zero-Sum Game.- 3.7. Demand Curves, Maximin, and the d’Hondt Scheme of PR.- 3.8. The Fourfold Table and Carroll’s Quota, Q(s).- 3.9. Carroll’s Practical Scheme and the Single Transferable Vote.- 3.10. Allocating Members to Districts.- 4. Reprints of Original Material.- 4.1. Lewis Carroll: The Principles of Parliamentary Representation, with Supplement and Postscript to Supplement.- 4.2. James Garth Marshall: Minorities and Majorities; Their Relative Rights.- 4.3. Walter Baily: Proportional Representation in Large Constituencies.

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