Arrow's theorem, Weglorz' models and the axiom of choice
AbstractApplying Weglorz' models of set theory without the axiom of choice, we investigate Arrow-type social welfare functions for infinite societies with restricted coalition algebras. We show that there is a reasonable, nondictatorial social welfare function satisfying "finite discrimination", if and only if in Weglorz' model there is a free ultrafilter on a set representing the individuals.
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Bibliographic InfoPaper provided by EconWPA in its series Public Economics with number 9902001.
Date of creation: 02 Feb 1999
Date of revision: 01 Jun 2004
Note: Mathematical Logic Quarterly (2000) 46: 335-359
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Arrow impossibility theorem; anonymity; ecological welfare functions; axiomatic set theory; ultrafilters; Weglorz's models; permutation models;
Find related papers by JEL classification:
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
- A12 - General Economics and Teaching - - General Economics - - - Relation of Economics to Other Disciplines
This paper has been announced in the following NEP Reports:
- NEP-ALL-1999-02-15 (All new papers)
- NEP-CDM-1999-02-15 (Collective Decision-Making)
- NEP-MIC-1999-02-15 (Microeconomics)
- NEP-POL-1999-02-15 (Positive Political Economics)
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- H. Reiju Mihara, 1994.
"Anonymity and Neutrality in Arrow's Theorem with Restricted Coalition Algebras,"
9411001, EconWPA, revised 22 Nov 1994.
- H. Reiju Mihara, 1997. "Anonymity and neutrality in Arrow's Theorem with restricted coalition algebras," Social Choice and Welfare, Springer, vol. 14(4), pages 503-512.
- H. Reiju Mihara, 1997.
"Arrow's Theorem and Turing computability,"
Springer, vol. 10(2), pages 257-276.
- Lauwers, Luc & Van Liedekerke, Luc, 1995.
"Ultraproducts and aggregation,"
Journal of Mathematical Economics,
Elsevier, vol. 24(3), pages 217-237.
- Herzberg, Frederik & Lauwers, Luc & Van Liedekerke, Luc & Senyo, Emmanuel, 2010. "Ultraproducts and aggregation," Open Access publications from Katholieke Universiteit Leuven urn:hdl:123456789/258870, Katholieke Universiteit Leuven.
- Kirman, Alan P. & Sondermann, Dieter, 1972. "Arrow's theorem, many agents, and invisible dictators," Journal of Economic Theory, Elsevier, vol. 5(2), pages 267-277, October.
- H. Reiju Mihara, 2001.
"Existence of a coalitionally strategyproof social choice function: A constructive proof,"
Social Choice and Welfare,
Springer, vol. 18(3), pages 543-553.
- H. Reiju Mihara, 1996. "Existence of a Coalitionally Strategyproof Social Choice Function: A Constructive Proof," Public Economics 9604002, EconWPA, revised 20 Sep 1996.
- Moulin,Hervi, 1991. "Axioms of Cooperative Decision Making," Cambridge Books, Cambridge University Press, number 9780521424585, November.
- Fishburn, Peter C., 1970. "Arrow's impossibility theorem: Concise proof and infinite voters," Journal of Economic Theory, Elsevier, vol. 2(1), pages 103-106, March.
- H. Reiju Mihara, 1997. "Arrow's Theorem, countably many agents, and more visible invisible dictators," Public Economics 9705001, EconWPA, revised 07 May 1997.
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