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

	Editors' Preface
	Introduction
	1. What is the Theory of Voting?
	2. Duncan Black and the Study of Theoretical Politics
	3. The Duncan Black Archive at the University of Glasgow
	4. Black's Struggles for Recognition
	5. Black and Lewis Carroll
	6. Carroll's Principles of Parliamentary Representation
	7. The Making of This Book
	References for the Introduction
Pt. 1	The Life and Logic of Lewis Carroll	1
1.1	Government by Logic	12
Pt. 2	The Principles of Parliamentary Representation	45
2.1	An Outline of Carroll's Argument	45
2.2	The Central Argument in The Principles of Parliamentary Representation	51
2.3	Carroll and the Cambridge Mathematical School of PR: Arthur Cohen and Edith Denman	63
Pt. 3	An Analysis of Carroll's Argument	91
3.1	Carroll's Scheme of Proportional Representation	91
3.2	The Desiderata: In at the Deep End	93
3.3	The Droop Quota in a Two-Party System	98
3.4	The Representation of the Droop Quota	105
3.5	Walter Baily and the Number of Voters Unrepresented	112
3.6	J G Marshall and the Two-Person Zero-Sum Game	114
3.7	Demand Curves, Maximin, and the d'Hondt Scheme of PR	120
3.8	The Fourfold Table and Carroll's Quota, Q(s)	129
3.9	Carroll's Practical Scheme and the Single Transferable Vote	139
3.10	Allocating Members to Districts	144
Pt. 4	Reprints of Original Material	151
4.1	Lewis Carroll: The Principles of Parliamentary Representation, with Supplement and Postscript to Supplement	151
4.2	James Garth Marshall: Minorities and Majorities; Their Relative Rights	175
4.3	Walter Baily: Proportional Representation in Large Constituencies	180
	Index	185