Handbook of Social Choice and Welfare

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Gulf Professional Publishing
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Contents

Introduction
1
Chapter
2
STRUCTURE OF SOCIAL CHOICE RULES
7
Significance of the subject and main lines of research
18
Measurement of poverty
25
Chapter 1
36
Relaxing the Pareto criterion
52
Relaxing independence of irrelevant alternatives
70
Bayesian implementation
276
References
282
Chapter 6
289
Sharing variable returns
316
Heterogeneous outputs or inputs
328
References
354
PRASANTA K PATTANAIK
361
Some notions of positionalist social ranking rules and social decision rules
367

Concluding remarks
84
Categories of Arrovian Voting Schemes
85
Positional Rules of Collective DecisionMaking
92
FUAD ALESKEROV
95
Social decision rules
103
Functional voting rules
112
Conclusion
125
Chapter 3
131
The existence of Arrovian social welfare functions and the domain of
146
Distributional restrictions over the set of individual preferences under simple
153
Social choice in continuous space
160
Concluding remarks
166
Chapter 4
173
Voter preferences and social choice functions
180
Introduction to voting procedures for three or more candidates
186
Strategic analysis of nonranked voting
193
successive elimination
198
Positional scoring procedures and Borda choices
212
Point distribution procedures
218
References
227
Chapter 5
237
Concluding remarks
238
Definitions
245
further topics
260
Arrows conditions the principle of simple majority and positionalist SDRs
375
Concluding remarks
392
Basic concepts
401
Representations of committees
407
Strong representations of committees
415
Concluding remarks
421
Constitutional choices
427
A committee of politicians
436
Elections as methods of belief aggregation
443
Concluding remarks
452
Chapter 10
461
Axioms and their use
477
Independence and invariancebased characterisations
507
Discarding neutrality or invariance
520
Conclusion
534
CHARLES BLACKORBY WALTER BOSSERT and DAVID DONALDSON
543
Socialevaluation functionals
549
Generalized utilitarianism
560
Utilitarianism
566
Uncertainty
581
Conclusion
590
Chapter 12
597
Author index
635

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