Proximity Preservation in an Anonymous Framework
This paper gives a formulation for the condition of preservation of preference proximity which, unlike previous formulations, respects the spirit of anonymity pervading social choice theory. Proximity preservation is however shown to be inconsistent with a very weak condition guaranteeing a minimal non-trivial compensation of pivotal changes.
Volume (Year): 4 (2004)
Issue (Month): 6 ()
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- Graciela Chichilnisky, 1982. "Social Aggregation Rules and Continuity," The Quarterly Journal of Economics, Oxford University Press, vol. 97(2), pages 337-352.
- Luc Lauwers, 1999.
"Topological Social Choice,"
Center for Economic Studies - Discussion papers
ces9912, Katholieke Universiteit Leuven, Centrum voor Economische Studiën.
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- Chichilnisky, Graciela, 1979. "On fixed point theorems and social choice paradoxes," Economics Letters, Elsevier, vol. 3(4), pages 347-351.
- Nick Baigent & Daniel Eckert, 2004. "Abstract Aggregations and Proximity Preservation: An Impossibility Result," Theory and Decision, Springer, vol. 56(4), pages 359-366, 06.
- Fritz Grafe & Julius Grafe, 2001. "Social Welfare Functions which preserve distances," Social Choice and Welfare, Springer, vol. 18(1), pages 59-64.
- Daniel Eckert & Benjamin Lane, 2002. "Anonymity, ordinal preference proximity and imposed social choices," Social Choice and Welfare, Springer, vol. 19(3), pages 681-684.
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