Product filters, acyclicity and Suzumura consistency
In a seminal contribution, Hansson (1976) demonstrates that the collection of decisive coalitions associated with an Arrovian social welfare function forms an ultrafilter. He goes on to show that if transitivity is weakened to quasi-transitivity as the coherence property imposed on a social relation, the set of decisive coalitions is a filter. We examine the notion of decisiveness with acyclical or Suzumura consistent social preferences and without the assumption that the social relation is reflexive and complete. This leads to a new set-theoretic concept applied to product spaces.
Volume (Year): 64 (2012)
Issue (Month): 3 ()
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- Amartya Sen, 1969. "Quasi-Transitivity, Rational Choice and Collective Decisions," Review of Economic Studies, Oxford University Press, vol. 36(3), pages 381-393.
- Sen, Amartya K, 1976. "Liberty, Unanimity and Rights," Economica, London School of Economics and Political Science, vol. 43(171), pages 217-245, August.
- John Weymark, 1984.
"Arrow's theorem with social quasi-orderings,"
Springer, vol. 42(3), pages 235-246, January.
- WEYMARK, John, "undated". "Arrow's theorem with social quasi-orderings," CORE Discussion Papers RP 609, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Edward Packel, 1980. "Impossibility results in the axiomatic theory of intertemporal choice," Public Choice, Springer, vol. 35(2), pages 219-227, January.
- Bossert, Walter & Suzumura, Kotaro, 2010. "Consistency, Choice, and Rationality," Economics Books, Harvard University Press, number 9780674052994, Spring.
- Bossert, Walter & Suzumura, Kotaro, 2009. "Consistency, Choice and Rationality," PIE/CIS Discussion Paper 428, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
- Ferejohn, John A. & Fishburn, Peter C., 1979. "Representations of binary decision rules by generalized decisiveness structures," Journal of Economic Theory, Elsevier, vol. 21(1), pages 28-45, August.
- 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.
- 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.
- 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).
- Kotaro Suzumura, 2000. "Presidential Address: Welfare Economics Beyond Welfarist-Consequentialism," The Japanese Economic Review, Japanese Economic Association, vol. 51(1), pages 1-32, 03.
- Blair, Douglas H & Pollak, Robert A, 1982. "Acyclic Collective Choice Rules," Econometrica, Econometric Society, vol. 50(4), pages 931-943, July.
- Truchon, Michel, 1996. "Acyclicity and Decisiveness Structures," Journal of Economic Theory, Elsevier, vol. 69(2), pages 447-469, May.
- Truchon, M., 1993. "Acyclicity and Decisiveness Structures," Papers 9316, Laval - Recherche en Politique Economique.
- Sen, Amartya K, 1979. "Personal Utilities and Public Judgements: Or What's Wrong with Welfare Economics?," Economic Journal, Royal Economic Society, vol. 89(355), pages 537-558, September.
- Bengt Hansson, 1976. "The existence of group preference functions," Public Choice, Springer, vol. 28(1), pages 89-98, December.
- Suzumura, Kataro, 1976. "Remarks on the Theory of Collective Choice," Economica, London School of Economics and Political Science, vol. 43(172), pages 381-390, November.
- John Ferejohn & Talbot Page, 1978. "On the Foundations of Intertemporal Choice," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 60(2), pages 269-275. Full references (including those not matched with items on IDEAS)
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