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Contents
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Contents Acknowledgments Preface 1 Preliminaries 1.1 Review .. 1.2 Decision theory 1.3 Discussion... 1.4 Exercises 1.5 Further reading 2 Strategy-Proof Collective Choice 2.1 Strategy-proofness on finite sets . 2.2 Application: The amendment rule . 2.3 Strategy-proofness and Arrovian aggregation 2.4 Single-peaked preferences . 2.5 Application: The amendment rule revisited 2.6 Strategy-proofness in the spatial model. 2.7 Application: The issue-by-issue rule 2.8 Separable preferences. 2.9 Discussion ... 2.10 Exercises 2.11 Further reading 3 Implementable Collective Choice 3.1 Mechanisms and equilibria. 3.2 The Revelation Principle. . . . . 3.3 Nash implementation . 3.4 Application: Monotonicity of electoral rules 3.5 Quasi-linear preferences . xi xiii 1 1 8 16 17 18 19 20 29 30 33 51 52 60 62 65 66 67 69 70 74 77 90 94 viii 3.6 Application: Collective action 3.7 Discussion. 3.8 Exercises 3.9 Further reading 4 Binary Agendas 4.1 Binary agendas and sophisticated voting 4.2 Equilibrium outcomes of binary agendas 4.3 Application: Agenda independence 4.4 Discussion... 4.5 Exercises 4.6 Further reading 5 Spatial Voting in Committees 5.1 Issue-by-issue voting in the spatial model 5.2 Application: Committees and cabinets 5.3 Endogenous agendas . . . . . . . . . 5.4 Application: Sophisticated sincerity 5.5 Discussion... 5.6 Exercises 5.7 Further reading 6 Legislative Bargaining 6.1 A basic framework . 6.2 Bargaining over distributions . . 6.3 Application: Pork barrel politics 6.4 Bargaining over policy . . . . . . 6.5 Application: Coalition government formation 6.6 Discussion... 6.7 Exercises 6.8 Further reading 7 Two-Candidate Elections 7.1 Electoral equilibrium and the core 7.2 Application: Ideological convergence .. 7.3 Equilibrium in multidimensional spaces 7.4 Application: Progressive taxation . 7.5 Probabilistic voting ..... 7.6 Application: Director's Law 7.7 Policy-motivated candidates CONTENTS 104 105 109 110 113 114 128 138 141 144 146 147 148 158 166 l84 186 188 190 193 194 204 221 224 244 248 250 251 253 254 259 262 280 282 289 293 CONTENTS 7.8 Application: Ideological divergence 7.9 Turnout. 7.10 Discussion ... 7.11 Exercises 7.12 Further reading 8 Multicandidate Elections 8.1 Sincere voting in multicandidate elections 8.2 Application: Comparing electoral rules . 8.3 Strategic voting . . . . . . . . 8.4 Application: Duverger's Law . 8.5 Candidate entry . 8.6 Application: Duverger and divergence 8.7 Discussion... 8.8 Exercises 8.9 Further reading 9 Legislative Elections 9.1 Elections, government and policy 9.2 Application: Representative legislatures 9.3 Discussion . 9.4 Exercises . 9.5 Further reading 10 Summary and Conclusions 10.1 Retrospective 10.2 A conclusion Bibliography Index ix 301 304 322 328 330 333 335 342 344 352 353 380 382 388 389 391 392 413 415 416 417 419 421 . 427 429 445 ...