Journal Article10.2139/SSRN.932048
Social Aggregation of Preferences, and the Distance Between Economic Agents
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TL;DR: In this paper, a new metric that measures the distance between preference relations is defined and investigated, which induces a topology on spaces of preferences, and the properties of this topology are investigated.
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Abstract: This paper defines and investigates a new metric that measures the distance between preference relations. The metric induces a topology on spaces of preferences, and we inquire into the properties of this topology. An axiomatic characterization of the metric is also given. Finally, referring to a problem in the theory of social choice, we show that with our topology, some natural domains of preferences admit social choice rules that are continuous, anonymous, and respect unanimity.
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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
On Fixed Point Theorems and Social Choice Paradoxes
TL;DR: In this paper, the nonexistence of 1 continuous anonymous rule that respects anonymity with two voters and two-dimensional choice spaces is shown to be equivalent to a fixed point problem, and the results can be extended to higher dimensional choice spaces and any finite number of agents.
44
References
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A. A. Walters,John G. Kemeny,J. Laurie Snell +2 more
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•Book
Mathematical models in the social sciences
J. Laurie Snell,John G. Kemeny +1 more
- 01 Jan 1972
TL;DR: Republication of this book provides social science and mathematics students with a text that is the analogue of mathematical methods textbooks used in the study of the physical sciences and engineering.
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Mathematical Models in the Social Sciences
TL;DR: In this paper, the authors present Mathematical Models in the Social Sciences (MMSMS) for the social sciences. But they do not discuss the model's application in the field of computer science.
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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
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