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Existence of a coalitionally strategyproof social choice function: A constructive proof

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Author Info
H. Reiju Mihara () (Economics, Kagawa University, Takamatsu, 760-8523, Japan)

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Abstract

This paper gives a concrete example of a nondictatorial, coalitionally strategyproof social choice function for countably infinite societies. The function is defined for those profiles such that for each alternative, the coalition that prefers it the most is "describable." The "describable" coalitions are assumed to form a countable Boolean algebra. The paper discusses oligarchical characteristics of the function, employing a specific interpretation of an infinite society. The discussion clarifies within a single framework a connection between the negative result (the Gibbard-Satterthwaite theorem) for finite societies and the positive result for infinite ones.

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

Volume (Year): 18 (2001)
Issue (Month): 3 ()
Pages: 543-553
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Handle: RePEc:spr:sochwe:v:18:y:2001:i:3:p:543-553

Note: Received: 10 August 1998/Accepted: 29 February 2000
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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Lauwers, Luc & Van Liedekerke, Luc, 1995. "Ultraproducts and aggregation," Journal of Mathematical Economics, Elsevier, vol. 24(3), pages 217-237. [Downloadable!] (restricted)
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  1. Norbert Brunner & H. Reiju Mihara, 1999. "Arrow's theorem, Weglorz' models and the axiom of choice," Public Economics 9902001, EconWPA, revised 01 Jun 2004. [Downloadable!]
  2. H. Reiju Mihara, 1997. "Arrow's Theorem, countably many agents, and more visible invisible dictators," Public Economics 9705001, EconWPA, revised 07 May 1997. [Downloadable!]
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  3. H. Reiju Mihara, 1994. "Arrow's Theorem and Turing Computability," Public Economics 9408001, EconWPA, revised 23 Aug 1994. [Downloadable!]
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