SERIEs

, Volume 2, Issue 4, pp 431–446 | Cite as

An individual manipulability of positional voting rules

  • Fuad Aleskerov
  • Daniel Karabekyan
  • M. Remzi Sanver
  • Vyacheslav Yakuba
Open Access
Original Article

Abstract

We study a problem of individual manipulation in an impartial culture (IC) framework using computer modeling. We estimate the degree of manipulability of ten positional voting rules in the case of multiple choice for 3 and 4 alternatives.

Keywords

Manipulability Positional voting rules Multiple choice Extended preferences 

JEL Classification

D7 

References

  1. Aleskerov F, Chistyakov V, Kalyagin V (2010) The threshold aggregation. Econ Lett 107: 261–262CrossRefGoogle Scholar
  2. Aleskerov F, Karabekyan D, Sanver R, Yakuba V (2011) On the degree of manipulability of multi-valued social choice rules. Essays in Honor of Hannu Nurmi, Homo Oeconomicus 28(1/2): 205–216Google Scholar
  3. Aleskerov F, Karabekyan D, Sanver R, Yakuba V (2011b) On manipulability of voting rules in the case of multiple choice. Math Soc Sci (forthcoming)Google Scholar
  4. Aleskerov F, Kurbanov E (1999) Degree of manipulability of social choice procedures. Alkan et al (eds) Current trends in economics. Springer, Berlin, pp 13–28Google Scholar
  5. Barbera S (1977) The manipulability of social choice mechanisms that do not leave too much to chance. Econometrica 45: 1572–1588CrossRefGoogle Scholar
  6. Barbera S, Bossert W, Pattanaik P (2004) Ranking Sets of Objects. In: Barbera S, Hammond PJ, Seidl C (eds) Handbook of utility theory, vol 2. Kluwer Academic Publishers, BostonCrossRefGoogle Scholar
  7. Chamberlin JR (1985) An investigation into the relative manipulability of four voting systems. Behav Sci 30(4): 195–203CrossRefGoogle Scholar
  8. Duggan J, Schwartz T (2000) Strategic manipulability without resoluteness or shared beliefs: Gibbard–Satterthwaite generalized. Soc Choice Welf 17: 85–93CrossRefGoogle Scholar
  9. Favardin P, Lepelley D (2006) Some further results on the manipulability of social choice rules. Soc Choice Welf 26: 485–509CrossRefGoogle Scholar
  10. Gärdenfors P (1976) Manipulation of social choice functions. J Econ Theory 13: 217–228CrossRefGoogle Scholar
  11. Gehrlein WV, Fishburn PC (1976) Condorcet’s paradox and anonymous preference profiles. Public Choice 26: 1–18CrossRefGoogle Scholar
  12. Gibbard A (1973) Manipulation of voting schemes. Econometrica 41: 587–601CrossRefGoogle Scholar
  13. Kelly J (1977) Strategy-proofness and social choice functions without single-valuedness. Econometrica 45: 439–446CrossRefGoogle Scholar
  14. Kelly J (1993) Almost all social choice rules are highly manipulable, but few aren’t. Soc Choice Welf 10: 161–175CrossRefGoogle Scholar
  15. Nitzan S (1985) The vulnerability of point-voting schemes to preference variation and strategic manipulation. Public Choice 47: 349–370CrossRefGoogle Scholar
  16. Ozyurt S, Sanver MR (2009) A general impossibility result on strategy-proof social choice hyperfunctions. Games Econ Behav 66: 880–892CrossRefGoogle Scholar
  17. Pattanaik P (1978) Strategy and group choice. North-Holland, AmsterdamGoogle Scholar
  18. Pritchard G, Wilson M (2007) Exact results on manipulability of positional voting rules. Soc Choice Welf 29: 487–513CrossRefGoogle Scholar
  19. Satterthwaite M (1975) Strategy-proofness and Arrow’s conditions: existence and correspondence theorems for voting procedures and social welfare functions. J Econ Theory 10: 187–217CrossRefGoogle Scholar
  20. Smith D (1999) Manipulability measures of common social choice functions. Soc Choice Welf 16(4): 639–661CrossRefGoogle Scholar

Copyright information

© The Author(s) 2011

This article is published under license to BioMed Central Ltd. Open Access This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

Authors and Affiliations

  • Fuad Aleskerov
    • 1
    • 2
  • Daniel Karabekyan
    • 1
  • M. Remzi Sanver
    • 3
  • Vyacheslav Yakuba
    • 2
  1. 1.National Research University Higher School of EconomicsMoscowRussia
  2. 2.Institute of Control SciencesRussian Academy of SciencesMoscowRussia
  3. 3.Istanbul Bilgi UniversityIstanbulTurkey

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