Title | The Theory of Committees and Elections by Duncan Black and Committee Decisions with Complementary Valuation by Duncan Black and R.A. Newing [electronic resource] / edited by Iain McLean, Alistair McMillan, Burt L. Monroe |
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Imprint | Dordrecht : Springer Netherlands : Imprint: Springer, 1998 |
Edition | Revised Second Editions |
Connect to | http://dx.doi.org/10.1007/978-94-011-4860-3 |
Descript | LVI, 457 p. online resource |
1 The Theory of Committees and Elections -- 1 A Committee and Motions -- 2 Independent Valuation -- 3 Can a Motion be Represented by the same Symbol on Different Schedules? -- 4 A Committee using a Simple Majority: Single-peaked Preference Curves -- 5 A Committee using a Simple Majority: other Shapes of Preference Curves -- 6 A Committee using a Simple Majority: any Shapes of Preference Curves, Number of Motions Finite -- 7 Cyclical Majorities -- 8 When the Ordinary Committee Procedure is in use the Membersโ Scales of Valuation may be Incomplete -- 9 Which is the most suitable Method of Election? -- 10 Examination of some Methods of Election in Single-member Constituencies -- 11 Proportional Representation -- 12 The Decisions of a Committee using a Special Majority -- 13 The Elasticity of Committee Decisions with an Altering Size of Majority -- 14 The Elasticity of Committee Decisions with alterations in the Membersโ Preference Schedules -- 15 The Converse Problem: the Group of Schedules to Correspond to a Given Voting Matrix -- 16 A Committee using a Simple Majority: Complementary Motions -- 17 International Agreements, Sovereignty and the Cabinet -- 2 History of the Mathematical Theory of Committees and Elections (excluding proportional representation) -- 18 Borda, Condorcet and Laplace -- 19 E. J. Nanson and Francis Galton -- 20 The Circumstances in which Rev. C. L. Dodgson (Lewis Carroll) wrote his Three Pamphlets -- 21 Appendix: Text of Dodgsonโs Three Pamphlets and of โThe Cyclostyled Sheetโ -- 3 Committee Decisions with Complementary Valuation -- Committee Decisions with Complementary Valuation -- 4 Related Papers -- Appendix 1 On Arrowโs Impossibility Theorem -- Appendix 2 The Unity of Political and Economic Science -- Appendix 3 Transitivity and non-transitivity of Majorities -- Appendix 4 Partial Justification of the Borda Count -- Appendix 5 Arrowโs work and the Normative Theory of Committees