Arrow's theorem, Weglorz' models and the axiom of choice
Applying 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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- 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;The Society for Social Choice and Welfare, vol. 14(4), pages 503-512.
- KIRMAN, Alan P. & SONDERMANN, Dieter, "undated".
"Arrow's theorem, many agents, and indivisible dictators,"
CORE Discussion Papers RP
118, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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- H. Reiju Mihara, 2001.
"Existence of a coalitionally strategyproof social choice function: A constructive proof,"
Social Choice and Welfare,
Springer;The Society for Social Choice and Welfare, 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.
- Lauwers, Luc & Van Liedekerke, Luc, 1995. "Ultraproducts and aggregation," Journal of Mathematical Economics, Elsevier, vol. 24(3), pages 217-237.
- Mihara, H.R., 1994.
"Arrow's Theorem and Turing Computability,"
276, Minnesota - Center for Economic Research.
- 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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