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Abstract Aggregations and Proximity Preservation: An Impossibility Result

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  • Nick Baigent
  • Daniel Eckert

Abstract

An impossibility result for completely abstract social aggregation rules is presented. It is shown that non-imposition and a new no-veto property (two properties in the spirit of the Pareto principle and non-dictatorship respectively) are incompatible with an inter-profile consistency condition formulated in terms of proximity preservation. Copyright Kluwer Academic Publishers 2004

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  • Nick Baigent & Daniel Eckert, 2004. "Abstract Aggregations and Proximity Preservation: An Impossibility Result," Theory and Decision, Springer, vol. 56(4), pages 359-366, June.
    • Handle: RePEc:kap:theord:v:56:y:2004:i:4:p:359-366
    DOI: 10.1007/s11238-004-1340-7
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    References listed on IDEAS

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    1. Graciela Chichilnisky, 1982. "Social Aggregation Rules and Continuity," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 97(2), pages 337-352.
    2. Donald G. Saari, 1997. "Informational geometry of social choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 14(2), pages 211-232.
    3. Fritz Grafe & Julius Grafe, 2001. "Social Welfare Functions which preserve distances," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 59-64.
    4. Baigent, Nick, 1984. "A reformulation of Chichilnisky's impossibility theorem," Economics Letters, Elsevier, vol. 16(1-2), pages 23-25.
    5. Yuqing Zhou, 1997. "A note on continuous social choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 14(2), pages 245-248.
    6. Daniel Eckert & Benjamin Lane, 2002. "Anonymity, ordinal preference proximity and imposed social choices," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(3), pages 681-684.
    7. Chichilnisky, Graciela, 1979. "On fixed point theorems and social choice paradoxes," Economics Letters, Elsevier, vol. 3(4), pages 347-351.
    8. Wilson, Robert, 1972. "Social choice theory without the Pareto Principle," Journal of Economic Theory, Elsevier, vol. 5(3), pages 478-486, December.
    9. Baigent, Nick, 1985. "Anonymity and continuous social choice," Journal of Mathematical Economics, Elsevier, vol. 14(1), pages 1-4, February.
    10. Nick Baigent, 1987. "Preference Proximity and Anonymous Social Choice," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(1), pages 161-169.
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    1. repec:ebl:ecbull:v:4:y:2004:i:6:p:1-6 is not listed on IDEAS
    2. Daniel Eckert, 2004. "Proximity Preservation in an Anonymous Framework," Economics Bulletin, AccessEcon, vol. 4(6), pages 1-6.

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