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Remarks on Suzumura consistent collective choice rules

  • Cato, Susumu

Suzumura consistency is a necessary and sufficient condition for the existence of a weak-order extension. This paper provides some remarks on collective choice rules that generate Suzumura consistent social preferences. We examine the properties of such collective choice rules by introducing a procedural condition on collective choice rules. As applications of the procedural condition, we first investigate the decisive structure of a Paretian collective choice rule, and then consider the assignment of individual rights. In our analysis, the concept of semi-decisiveness works effectively.

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File URL: http://www.sciencedirect.com/science/article/pii/S0165489612000637
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Article provided by Elsevier in its journal Mathematical Social Sciences.

Volume (Year): 65 (2013)
Issue (Month): 1 ()
Pages: 40-47

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Handle: RePEc:eee:matsoc:v:65:y:2013:i:1:p:40-47
DOI: 10.1016/j.mathsocsci.2012.06.006
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/505565

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  1. Kotaro Suzumura, 1978. "On the Consistency of Libertarian Claims," Review of Economic Studies, Oxford University Press, vol. 45(2), pages 329-342.
  2. Susumu Cato & Daisuke Hirata, 2010. "Collective choice rules and collective rationality: a unified method of characterizations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(4), pages 611-630, April.
  3. Bossert, Walter & Suzumura, Kotaro, 2009. "Decisive coalitions and coherence properties," PIE/CIS Discussion Paper 427, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
  4. Cato, Susumu, 2012. "A note on the extension of a binary relation on a set to the power set," Economics Letters, Elsevier, vol. 116(1), pages 46-48.
  5. Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro, 2002. "Consistent Rationalizability," Discussion Paper 82, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
  6. BOSSERT, Walter & SUZUMURA, Kotaro, 2006. "A Characterization of Consistent Collective Choice Rules," Cahiers de recherche 09-2006, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  7. Donald J. Brown, 1973. "Acyclic Choice," Cowles Foundation Discussion Papers 360, Cowles Foundation for Research in Economics, Yale University.
  8. Campbell, Donald E. & Kelly, Jerry S., 2000. "Weak independence and veto power," Economics Letters, Elsevier, vol. 66(2), pages 183-189, February.
  9. Walter Bossert & Kotaro Suzumura, 2012. "Quasi-transitive and Suzumura consistent relations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(2), pages 323-334, July.
  10. Sen, Amartya K, 1976. "Liberty, Unanimity and Rights," Economica, London School of Economics and Political Science, vol. 43(171), pages 217-45, August.
  11. Gibbard, Allan, 1974. "A Pareto-consistent libertarian claim," Journal of Economic Theory, Elsevier, vol. 7(4), pages 388-410, April.
  12. Houy, Nicolas, 2008. "A note on the Suzumura-consistency," Mathematical Social Sciences, Elsevier, vol. 55(1), pages 90-95, January.
  13. M. J. Farrell, 1976. "Liberalism in the Theory of Social Choice," Review of Economic Studies, Oxford University Press, vol. 43(1), pages 3-10.
  14. 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).
  15. Schwartz, Thomas, 2007. "A procedural condition necessary and sufficient for cyclic social preference," Journal of Economic Theory, Elsevier, vol. 137(1), pages 688-695, November.
  16. Donald J. Brown, 1975. "Aggregation of Preferences," The Quarterly Journal of Economics, Oxford University Press, vol. 89(3), pages 456-469.
  17. Susumu Cato, 2012. "Szpilrajn, Arrow And Suzumura: Concise Proofs Of Extension Theorems And An Extension," Metroeconomica, Wiley Blackwell, vol. 63(2), pages 235-249, 05.
  18. 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.
  19. Bossert, Walter & Suzumura, Kotaro, 2010. "Consistency, Choice, and Rationality," Economics Books, Harvard University Press, number 9780674052994.
  20. Brown, Donald J., 1974. "An approximate solution to Arrow's problem," Journal of Economic Theory, Elsevier, vol. 9(4), pages 375-383, December.
  21. Blair, Douglas H & Pollak, Robert A, 1982. "Acyclic Collective Choice Rules," Econometrica, Econometric Society, vol. 50(4), pages 931-43, July.
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