Table of Contents

I. From an Election Fable to Election Procedures.- 1.1 An Electoral Fable.- 1.2 The Moral of the Tale.- 1.3 From Aristotle to “Fast Eddie”.- 1.4 What Kind of Geometry?.- II. Geometry for Positional And Pairwise Voting.- 2.1 Ranking Regions.- 2.2 Profiles and Election Mappings.- III. The Problem With Condorcet.- 3.1 Why Can’t an Organization Be More Like a Person?.- 3.2 Geometry of Pairwise Voting.- 3.3 Black’s Single-Peakedness.- 3.4 Arrow’s Theorem.- IV. Positional Voting And the BC.- 4.1 Positional Voting Methods.- 4.2 What a Difference a Procedure Makes; Several Different Outcomes.- 4.3 Positional Versus Pairwise Voting.- 4.4 Profile Decomposition.- 4.5 From Aggregating Pairwise Votes to the Borda Count.- 4.6 The Other Positional Voting Methods.- 4.7 Multiple Voting Schemes.- 4.8 Other Election Procedures.- V. Other Voting Issues.- 5.1 Weak Consistency: The Sum of the Parts.- 5.2 From Involvement and Monotonicity to Manipulation.- 5.3 Gibbard-Satterthwaite and Manipulable Procedures.- 5.4 Proportional Representation.- 5.5 House Monotone Methods.- VI. Notes.- VII. References.

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