Sets, Relations and Preferences -- Linear Spaces and Transformations -- Topology and Convex Optimisation -- Differential Calculus and Smooth Optimisation -- Singularity Theory and General Equilibria -- Topology and Social Choice.

chapter 1 Introduction -- chapter 2 Social Choice -- chapter 3 Voting Rules -- chapter 4 The Core -- chapter 5 The Heart -- chapter 6 A Spatial Model of Coalition -- chapter 7 A Spatial Model of Elections -- chapter 8 Activist Coalitions -- chapter 9 Coalitions in the United States -- chapter 10...

1: Introduction -- 1.1. Rational Choice -- 1.2. The Theory of Social Choice -- 1.3. Restrictions on the Set of Alternatives -- 1.4. Structural Stability of the Core -- 2: Social Choice -- 2.1. Preference Relations -- 2.2. Social Preference Functions -- 2.3. Arrowian Impossibility Theorems --...