A Mathematical Approach to Proportional Representation: Duncan Black on Lewis Carroll

A Mathematical Approach to Proportional Representation: Duncan Black on Lewis Carroll edited by Iain S. McLean, Alistair McMillan, Burt L. Monroe.

̀This is a book about a well-known writer, Lewis Carroll, and about a little-known subject, the theory of voting' (from the Editors' Introduction). This book has been edited from the manuscripts of the late Scottish economist Duncan Black. Shortly after the publication of The Theory of Com...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: McLean, Iain S. (Editor), McMillan, Alistair (Editor), Monroe, Burt L. (Editor)
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 1996.
Edition:1st ed. 1996.
Series:Springer eBook Collection.
Subjects:
Political science.
Mathematical models.
Microeconomics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
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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