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Topological aggregation, the case of an infinite population

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  • Luc Lauwers

    (Monitoraat ETEW, KU Leuven, Dekenstraat 2, B-3000 Leuven, Belgium)

Abstract

The literature on infinite Chichilnisky rules considers two forms of anonymity: a weak and a strong. This note introduces a third form: bounded anonymity. It allows us to prove an infinite analogue of the "Chichilnisky- Heal-resolution" close to the original theorem: a compact parafinite CW-complex X admits a bounded anonymous infinite rule if and only if X is contractible. Furthermore, bounded anonymity is shown to be compatible with the finite and the [0, 1]-continuum version of anonymity and allows the construction of convex means in infinite populations. With X=[0, 1], the set of linear bounded anonymous rules coincides with the set of medial limits.

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Bibliographic Info

Article provided by Springer in its journal Social Choice and Welfare.

Volume (Year): 14 (1997)
Issue (Month): 2 ()
Pages: 319-332

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Handle: RePEc:spr:sochwe:v:14:y:1997:i:2:p:319-332

Note: Received: 30 October 1993/Accepted: 22 April 1996
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Cited by:
  1. Luc Lauwers, 1999. "Topological Social Choice," Center for Economic Studies - Discussion papers, Katholieke Universiteit Leuven, Centrum voor Economische Studiën ces9912, Katholieke Universiteit Leuven, Centrum voor Economische Studiën.
  2. Marcus Pivato, 2014. "Additive representation of separable preferences over infinite products," Theory and Decision, Springer, vol. 77(1), pages 31-83, June.
  3. Lauwers, Luc & Van Liedekerke, Luc, 1995. "Ultraproducts and aggregation," Journal of Mathematical Economics, Elsevier, vol. 24(3), pages 217-237.
  4. Andrei Gomberg & Cesar Martinelli & Ricard Torres, 2002. "Anonymity in Large Societies," Working Papers, Centro de Investigacion Economica, ITAM 0211, Centro de Investigacion Economica, ITAM.

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