Social Choice and Democracy

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 -- 2.4. Power and Rationality -- 2.5. Choice and Functions -- 3: Voting Rules -- 3.1. Simple Binary Preference Functions -- 3.2. Acyclic Voting Rules on Restricted Sets of Alternatives -- 3.3. Manipulation of Choice Functions on Finite Sets of Alternatives -- 3.4. Restrictions on the Preferences of Society -- 4: The Core -- 4.1. Existence of a Choice -- 4.2. Existence of a Core in Low Dimensions -- 4.3. Convex Preferences -- 4.4. Non-Convex Preference -- 4.5. The Necessity of the Dimension Constraint -- 5: Local Cycles -- 5.1. Voting Cycles in Dimension v(?)—1 -- 5.2. Implementation of Choice Functions in Dimension v(?) — 1 -- 5.3. Cycles and the Stability Dimension -- 5.4. The Stability Dimension v*( ?) -- 6: Structural Stability -- 6.1. Plott Symmetry Conditions -- 6.2. Structural Stability of the Optima Set -- 6.3. Structural Instability of the Optima Set -- 6.4. Stability of the Core and of Cycles -- 7: Classification of Voting Rules -- 7.1. The Stability and Instability Dimensions -- 7.2. Voting Rules in Low Dimensions -- 7.3. Majority Rule with an Infinite Electorate -- 8: Democratic Theory -- 8.1. Liberalism and Populism -- 8.2. Populist Democracy and Institutionalism -- 8.3. Liberal Theory and Electoral Politics -- 8.4. Preferences and Beliefs -- Glossary of Concepts -- Index of Authors -- Index of Terms and Definitions.