Indifferences and Domain Restrictions
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Salvador Barberà
Abstract
The purpose of this paper is to discuss the extent to which allowing for individuals to be indifferent among alternatives may alter the qualitative results that are obtained in social choice theory when domain restrictions are defined on profiles of linear orders. The general message is that indifferences require attention and careful treatment, because the translation of results from a world without indifferences to another where agents may be indifferent among some alternatives is not always a straightforward exercise. But the warning is not one-directional: sometimes indifferences complicate the statement of results, but preserve their essential message. Sometimes, they help to create domains where some rules work better than in the presence of linear orders. In other cases, however, their presence destroys the positive results that would apply in their absence. I provide examples of these three situations.
© 2007 by Lucius & Lucius, Stuttgart
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Artikel in diesem Heft
- Aspiration Balancing Agreements: A New Axiomatic Approach to Bounded Rationality in Negotiations
- Choices, Norms and Preference Revelation
- Indifferences and Domain Restrictions
- Non-deteriorating Choice Without Full Transitivity
- The Shortage of Human Organs: Causes, Consequences and Remedies
- Multivariate Lorenz Majorization and Heterogeneity Measures: An Axiomatic Approach
- Living Standards and Capabilities: Equal Values or Equal Sets?
- Distributing Indivisible Goods Fairly: Evidence from a Questionnaire Study
- A Critical Discussion of the Characteristic Properties of List PR and FPTP Systems
- On Chaotic Consistent Expectations Equilibria
- On Measuring Personal Connections and the Extent of Social Networks
- Instances of Indeterminacy
- Norm-Constrained Choices
