Journal Article10.1016/0165-4896(87)90033-3
Topological structure of a space of continuous preferences as a space of retractions and the aggregation problem
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TL;DR: In this article, it was shown that the Kannai topology is adequate for continuous, anonymous and unanimous aggregation rules, since it makes the preferences space complete and Hausdorff.
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About: This article is published in Mathematical Social Sciences. The article was published on 01 Jun 1987. The article focuses on the topics: General topology & Weak topology.
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Citations
Continuity properties of the core of a market (revised version).
Yakar Kannai
- 01 Jan 1968
TL;DR: In this article, the behavior of a market with a continuum of traders, when the initial bundles and the initial preferences of the traders are allowed to vary, is studied, and a related problem which is also studied, is the relation between the limit theorems for n-trader markets as n goes to infinity.
96
Topological social choice
TL;DR: Recently, Baryshnikov used the topological approach to demonstrate that Arrow's impossibility theorem can be reformulated in terms of the non-contractibility of spheres and the results are discussed in a self-contained way.
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Spaces of Economic Agents
TL;DR: Spaces of Economic Agents as mentioned in this paper ) is a collection of spaces of economic agents for economic agents and their relationships with economic agents, and their roles in economic decision-making process.
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Some issues related to the topological aggregation of preferences
TL;DR: In this article, the authors studied the existence and uniqueness of Chichilnisky rules on preference spaces and showed that on topological vector spaces the only additive, anonymous, and unanimous aggregation n-rule is the convex mean.
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References
•Journal Article
On Economic Inequality
TL;DR: In this article, the authors present a systematic treatment of the conceptual framework as well as the practical problems of measurement of inequality, and evaluate alternative approaches in terms of their philosophical assumptions, economic content, and statistical requirements.
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Social choice and the topology of spaces of preferences
TL;DR: In this article, the authors study the paradox of social choice and show that it arises, in part, because of the topological structure of spaces of ordinal preferences, rather than intensities of preferences among these alternatives, called cardinal preferences.
122
Necessary and sufficient conditions for a resolution of the social choice paradox
TL;DR: In this article, the authors present a restriction on the domain of individual preferences that is both necessary and sufficient for the existence of a social choice rule that is continuous, anonymous, and respects unanimity.
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