The spatial model of politics / Norman Schofield.

Format:

Book

Author/Creator:

Schofield, Norman, 1944-

Series:

Routledge research in comparative politics ; 95.

Routledge research in comparative politics ; 95

Language:

English

Subjects (All):

Voting--Mathematical models.

Voting.

Physical Description:

xxiii, 291 pages : illustrations ; 24 cm.

Place of Publication:

London : Routledge, 2008.

Summary:

This new book from Norman Schofield is the first to explain the spatial model of voting from an economics/mathematical/game-theoretic perspective. As such, it is at the cutting edge of research within politics and economics and will be required reading in these spheres.

Contents:

1.1 Representative Democracy 1

1.2 The Theory of Social Choice 8

1.2.1 Restrictions on the Set of Alternatives 13

1.2.2 Structural Stability of the Core 18

2 Social Choice 21

2.1 Preference Relations 21

2.2 Social Preference Functions 24

2.3 Arrowian Impossibility Theorems 29

2.4 Power and Rationality 34

2.5 Choice Functions 38

3 Voting Rules 45

3.1 Simple Binary Preference Functions 45

3.2 Acyclic Voting Rules on Restricted Sets of Alternatives 51

3.3 Manipulation of Choice Functions 62

3.4 Restrictions on the Preferences of Society 65

4 The Core 69

4.1 Existence of a Choice 69

4.2 Existence of the Core in Low Dimension 73

4.3 Smooth Preference 79

4.3.1 Non-Convex Preference 84

4.4 Local Cycles 87

4.4.1 Necessary and Sufficient Conditions 89

4.5 Appendix to Chapter 4 94

5 The Heart 97

5.1 Symmetry Conditions at the Core 97

5.2 Examples of the Heart and Uncovered Set 112

5.3 Experimental Results 115

6 A Spatial Model of Coalition 119

6.1 Empirical Analyses of Coalition Formation 119

6.2 A Spatial Model of Legislative Bargaining 126

6.3 The Core and the Heart of the Legislature 132

6.3.1 Examples from Israel 132

6.3.2 Examples from the Netherlands 135

6.4 Typologies of Coalition Government 141

6.4.1 Bipolar Systems 142

6.4.2 Left Unipolar Systems 143

6.4.3 Center Unipolar Systems 147

6.4.4 A Right Unipolar System 152

6.4.5 Triadic Systems 153

6.4.6 A Collapsed Core 155

7 A Spatial Model of Elections 163

7.1 Political Valence 163

7.2 Local Nash Equilibrium with Activists 168

7.3 Empirical Analyses 179

7.3.1 Elections in Israel 179

7.3.2 Elections in Turkey 1999-2007 183

7.3.3 Elections in the Netherlands 190

7.3.4 The Election in the United Kingdom in 1997 193

7.4 The Influence of Activists 195

7.6 Empirical Appendix 199

8 Activist Coalitions 203

8.1 Activist Support and Valence 204

8.2 Argentina's Electoral Dynamics: 1989-1995 209

9 Coalitions in the United States 221

9.1 Convergence or Divergence 221

9.2 Activist Support for the Parties 224

9.2.1 Realignment and Federalism 229

9.3 Coalitions of Enemies 232

9.3.1 The New Deal Coalition 232

9.3.2 The Creation of the Republican Coalition 233

9.3.3 Social Conservatives Ascendant in the G.O. P. 236

9.3.4 Stem Cell Research 238

9.3.5 Immigration 240

9.4 The Changing Political Equilibrium 241

9.4.1 Party Dynamics 244

9.4.2 Party Challenges 245

9.4.3 Party Switches 247

9.5 The Future of Republican Populism 250

9.7 Appendix: Republican Senator Votes 257

10.1 The Madisonian Scheme of Government 259

10.2 Preferences and Judgements 265.

Notes:

Includes bibliographical references and index.

ISBN:

9780415321273

0415321271

OCLC:

56463844