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On the positive association of parliamentary social choice functions

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  • Boniface Mbih
  • Issofa Moyouwou
  • Xingyu Zhao

Abstract

Intuitively, a voting rule satisfies the condition of positive association if it guarantees that an improvement for an alternative in the preferences expressed by voters results in a change, if there is any, of the social status of that alternative in the same direction. In this article, we consider two interpretations of this notion, and for parliamentary voting procedures, we provide results showing under the impartial anonymous culture (IAC) hypothesis how often the positive association is (not) satisfied. Furthermore, our analysis also permits us to investigate the relationships between these notions.
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Suggested Citation

  • Boniface Mbih & Issofa Moyouwou & Xingyu Zhao, 2010. "On the positive association of parliamentary social choice functions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(1), pages 107-127, June.
    • Handle: RePEc:spr:sochwe:v:35:y:2010:i:1:p:107-127
    DOI: 10.1007/s00355-009-0432-2
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    References listed on IDEAS

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    1. Peleg,Bezalel, 2008. "Game Theoretic Analysis of Voting in Committees," Cambridge Books, Cambridge University Press, number 9780521074650, November.
    2. Wilson, Mark C. & Pritchard, Geoffrey, 2007. "Probability calculations under the IAC hypothesis," Mathematical Social Sciences, Elsevier, vol. 54(3), pages 244-256, December.
    3. Muller, Eitan & Satterthwaite, Mark A., 1977. "The equivalence of strong positive association and strategy-proofness," Journal of Economic Theory, Elsevier, vol. 14(2), pages 412-418, April.
    4. Pierre Favardin & Dominique Lepelley, 2006. "Some Further Results on the Manipulability of Social Choice Rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(3), pages 485-509, June.
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    Cited by:

    1. Moyouwou, Issofa & Tchantcho, Hugue, 2017. "Asymptotic vulnerability of positional voting rules to coalitional manipulation," Mathematical Social Sciences, Elsevier, vol. 89(C), pages 70-82.
    2. Sébastien Courtin & Boniface Mbih & Issofa Moyouwou & Thomas Senné, 2010. "The reinforcement axiom under sequential positional rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(3), pages 473-500, September.
    3. Sebastien Courtin & Boniface Mbih & Issofa Moyouwou, 2009. "Susceptibility to coalitional strategic sponsoring The case of parliamentary agendas," Post-Print hal-00914855, HAL.

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