Product Filters, Acyclicity and Suzumura Consistency
AbstractIn 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 assuming that the social relation is complete. This leads to a new set-theoretic concept applied to product spaces.
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Bibliographic InfoPaper provided by Centre interuniversitaire de recherche en économie quantitative, CIREQ in its series Cahiers de recherche with number 20-2010.
Length: 22 pages
Date of creation: 2010
Date of revision:
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product filters; decisiveness; acyclicity; Suzumura consistency;
Other versions of this item:
- Bossert, Walter & Suzumura, Kotaro, 2012. "Product filters, acyclicity and Suzumura consistency," Mathematical Social Sciences, Elsevier, vol. 64(3), pages 258-262.
- BOSSERT, Walter & SUZUMURA, Kotaro, 2010. "Product Filters, Acyclicity and Suzumura Consistency," Cahiers de recherche 2010-11, Universite de Montreal, Departement de sciences economiques.
- C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
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- KIRMAN, Alan P. & SONDERMANN, Dieter, .
"Arrow's theorem, many agents, and indivisible dictators,"
CORE Discussion Papers RP
-118, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- 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.
- Truchon, Michel, 1996.
"Acyclicity and Decisiveness Structures,"
Journal of Economic Theory,
Elsevier, vol. 69(2), pages 447-469, May.
- 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.
- Sen, Amartya K, 1969. "Quasi-Transitivity, Rational Choice and Collective Decisions," Review of Economic Studies, Wiley Blackwell, vol. 36(107), pages 381-93, July.
- Suzumura, Kataro, 1976. "Remarks on the Theory of Collective Choice," Economica, London School of Economics and Political Science, vol. 43(172), pages 381-90, November.
- Bossert, Walter & Suzumura, Kotaro, 2010.
"Consistency, Choice, and Rationality,"
Harvard University Press, number 9780674052994.
- Blair, Douglas H & Pollak, Robert A, 1982. "Acyclic Collective Choice Rules," Econometrica, Econometric Society, vol. 50(4), pages 931-43, July.
- Sen, Amartya K, 1976. "Liberty, Unanimity and Rights," Economica, London School of Economics and Political Science, vol. 43(171), pages 217-45, August.
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