- Title Pages
- List of Figures
- List of Tables
- List of Contributors
- Introduction
- Chapter 1 Why Economics Needs Ethical Theory
- Chapter 2 The Sen System of Social Evaluation
- Chapter 3 The Good Life and the Good Economy<sup>*</sup>
- Chapter 4 The Adaptation Problem, Evolution and Normative Economics<sup>*</sup>
- Chapter 5 Rights and Interests
- Chapter 6 Elements of a Theory of the Right to Development<sup>*</sup>
- Chapter 7 Rational Choice on General Domains<sup>*</sup>
- Chapter 8 Some Remarks on the Ranking of Infinite Utility Streams<sup>*</sup>
- Chapter 9 Individual Choices in a Non‐Consequentialist Framework<sup>*</sup>
- Chapter 10 The Method of Majority Decision and Rationality Conditions<sup>*</sup>
- Chapter 11 Convexity and Separability in Representing Consensus
- Chapter 12 Rights, Individual Preferences and Collective Rationality
- Chapter 13 Irrelevant Alternatives
- Chapter 14 Limited Rights and Social Choice Rules<sup>*</sup>
- Chapter 15 Dominance Criteria for Critical‐Level Generalized Utilitarianism<sup>*</sup>
- Chapter 16 The Measurement of Capabilities<sup>*</sup>
- Chapter 17 On Ultrapoverty<sup>*</sup>
- Chapter 18 Multidimensional Poverty Orderings<sup>*</sup>
- Chapter 19 External Capabilities<sup>*</sup>
- Chapter 20 On the Welfarist Rationale for Relative Poverty Lines<sup>*</sup>
- Chapter 21 Justice as Fairness and the Capability Approach<sup>*</sup>
- Chapter 22 Ungrouping Income Distributions
- Chapter 23 A Practical Proposal for Simplifying the Measurement of Income Poverty<sup>*</sup>
- Chapter 24 Concepts and Measures of Agency<sup>*</sup>
- Chapter 25 Sen's Identities
- Chapter 26 Welfare Economics and Giving for Development<sup>*</sup>
- Chapter 27 Equity and Sharing the Cost of a Public Project<sup>*</sup>
- Chapter 28 Isolation, Assurance and Rules<sup>*</sup>
- Chapter 29 Simple Formulae for Optimal Income Taxation and the Measurement of Inequality<sup>*</sup>
- Index of Names
- Index of Subjects
The Method of Majority Decision and Rationality Conditions *
The Method of Majority Decision and Rationality Conditions *
- Chapter:
- (p.167) Chapter 10 The Method of Majority Decision and Rationality Conditions^{*}
- Source:
- Arguments for a Better World: Essays in Honor of Amartya Sen
- Author(s):
Satish K. Jain
- Publisher:
- Oxford University Press
This chapter extends the earlier work on domain conditions for social rationality under the method of majority decision (MMD) by deriving Inada-type necessary and sufficient conditions for transitivity and quasi-transitivity for cases which were not covered by the earlier results. It presents a unified approach to the problem of obtaining domain conditions by formulating all conditions in terms of Latin Squares. Also, each characterization is obtained in terms of a single condition. These two together result in considerable simplification of proofs. The chapter also provides new proofs for the earlier results. Regarding acyclicity, it is shown that for any non-trivial set of binary relations containing intransitive binary relations, no condition defined only over triples can be an Inada-type necessary and sufficient condition for acyclicity under the MMD.
Keywords: restricted domain, majority decision, transitivity, quasi-transitivity, acyclicity, extremal restriction, Latin square partial agreeme
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- Title Pages
- List of Figures
- List of Tables
- List of Contributors
- Introduction
- Chapter 1 Why Economics Needs Ethical Theory
- Chapter 2 The Sen System of Social Evaluation
- Chapter 3 The Good Life and the Good Economy<sup>*</sup>
- Chapter 4 The Adaptation Problem, Evolution and Normative Economics<sup>*</sup>
- Chapter 5 Rights and Interests
- Chapter 6 Elements of a Theory of the Right to Development<sup>*</sup>
- Chapter 7 Rational Choice on General Domains<sup>*</sup>
- Chapter 8 Some Remarks on the Ranking of Infinite Utility Streams<sup>*</sup>
- Chapter 9 Individual Choices in a Non‐Consequentialist Framework<sup>*</sup>
- Chapter 10 The Method of Majority Decision and Rationality Conditions<sup>*</sup>
- Chapter 11 Convexity and Separability in Representing Consensus
- Chapter 12 Rights, Individual Preferences and Collective Rationality
- Chapter 13 Irrelevant Alternatives
- Chapter 14 Limited Rights and Social Choice Rules<sup>*</sup>
- Chapter 15 Dominance Criteria for Critical‐Level Generalized Utilitarianism<sup>*</sup>
- Chapter 16 The Measurement of Capabilities<sup>*</sup>
- Chapter 17 On Ultrapoverty<sup>*</sup>
- Chapter 18 Multidimensional Poverty Orderings<sup>*</sup>
- Chapter 19 External Capabilities<sup>*</sup>
- Chapter 20 On the Welfarist Rationale for Relative Poverty Lines<sup>*</sup>
- Chapter 21 Justice as Fairness and the Capability Approach<sup>*</sup>
- Chapter 22 Ungrouping Income Distributions
- Chapter 23 A Practical Proposal for Simplifying the Measurement of Income Poverty<sup>*</sup>
- Chapter 24 Concepts and Measures of Agency<sup>*</sup>
- Chapter 25 Sen's Identities
- Chapter 26 Welfare Economics and Giving for Development<sup>*</sup>
- Chapter 27 Equity and Sharing the Cost of a Public Project<sup>*</sup>
- Chapter 28 Isolation, Assurance and Rules<sup>*</sup>
- Chapter 29 Simple Formulae for Optimal Income Taxation and the Measurement of Inequality<sup>*</sup>
- Index of Names
- Index of Subjects