Social choice theory

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An excellent summary

• 1. History of social choice theory
  • 1.1 Condorcet
  • 1.2 Arrow and his influence
  • 1.3 Borda, Carroll, Black, and others
• 2. Three formal arguments for majority rule
  • 2.1 The concept of an aggregation rule
  • 2.2 A procedural argument for majority rule
  • 2.3 An epistemic argument for majority rule
  • 2.4 A utilitarian argument for majority rule
• 3. Preference aggregation
  • 3.1 Arrow’s theorem
  • 3.2 Non-dictatorial preference aggregation rules
  • 3.3 The Gibbard-Satterthwaite theorem
• 4. Welfare aggregation
  • 4.1 Measurability and interpersonal comparability of welfare
  • 4.2 The possibility of welfare aggregation
  • 4.3 Other topics
• 5. Judgment aggregation
  • 5.1 The ‘doctrinal paradox’ and the ‘discursive dilemma’
  • 5.2 The conditions for inconsistent majority judgments
  • 5.3 A general model and a simple impossibility result
  • 5.4 More general impossibility and possibility theorems
  • 5.5 Non-dictatorial judgment aggregation rules
• 6. Other topics