Review of Economic Design

, Volume 19, Issue 4, pp 279–297 | Cite as

The informational basis of scoring rules

Original Paper

Abstract

We consider voting wherein voters assign a certain score to each of the many available alternatives. We study the normative properties of procedures that aggregate the scores collected in the ballot box. A vast class of ballot aggregators, including procedures based on the pairwise comparison of alternatives, satisfy May’s famous conditions in our framework. We prove that, within such a plethora of procedures, scoring rules are singled out by a property related to their informational basis: in order to determine the winner, they do not take into account the specific distribution of scores chosen by each voter. The result is shown to hold regardless of the introduction of asymmetry among the alternatives.

Keywords

Scoring rules May’s theorem Informational basis 

JEL Classifications

D71 

References

  1. Arrow K (1951) Social choice and individual values. Yale University Press, New HavenGoogle Scholar
  2. Asan G, Sanver R (2002) Another characterization of the majority rule. Econ Lett 75:409–413CrossRefGoogle Scholar
  3. Asan G, Sanver R (2006) Maskin monotonic aggregation rules. Econ Lett 91:179–183CrossRefGoogle Scholar
  4. Austen-Smith D, Banks J (1999) Positive political theory I: collective preference. University of Michigan Press, Ann ArborGoogle Scholar
  5. Campbell DE (1988) A characterization of simple majority rule for restricted domains. Econ Lett 28:307–310CrossRefGoogle Scholar
  6. Campbell DE, Kelly JS (2000) A simple characterization of majority rule. Econ Theory 15:689–700CrossRefGoogle Scholar
  7. Cantillon E, Rangel A (2002) A graphical analysis of some basic results in social choice. Soc Choice Welf 19:587–611CrossRefGoogle Scholar
  8. d’Aspremont C, Gevers L (1977) Equity and the informational basis of collective choice. Rev Econ Stud 44:199–299CrossRefGoogle Scholar
  9. Fey M (2014) Collective choice of fixed-size subsets: plurality rule, block voting, and Arrow’s theorem. University of Rochester, MimeoGoogle Scholar
  10. Fishburn PC (1977) Condorcet social choice functions. SIAM J Appl Math 33:469–489CrossRefGoogle Scholar
  11. Fleurbaey M (1993) On the informational basis of social choice. Soc Choice Welf 21:347–384CrossRefGoogle Scholar
  12. Gibbard A (1973) Manipulation of voting schemes : a general result. Econometrica 41:587–601CrossRefGoogle Scholar
  13. Goodin RE, List C (2006a) A conditional defense of plurality rule: generalizing May’s theorem in a restricted informational environment. Am J Polit Sci 50:940–949CrossRefGoogle Scholar
  14. Goodin RE, List C (2006b) Special majorities rationalized. Br J Polit Sci 36:213–241CrossRefGoogle Scholar
  15. Houy N (2007) A characterization for qualified majority voting rules. Math Soc Sci 54:17–24CrossRefGoogle Scholar
  16. Laslier J-F (1997) Tournament solutions and majority voting. Springer, BerlinCrossRefGoogle Scholar
  17. Maniquet F, Mongin P (2015) Approval voting and Arrow’s impossibility theorem. Soc Choice Welf 44(3):519–532CrossRefGoogle Scholar
  18. Maskin E (1995) Majority rule, social welfare functions, and game forms. In: Basu K, Pattanaik PK, Suzumura K (eds) Choice, welfare and development, festschrift for Amartya Sen. Clarendon Press, OxfordGoogle Scholar
  19. Massó J, Vorsatz M (2008) Weighted approval voting. Econ Theory 36:129–146CrossRefGoogle Scholar
  20. May K (1952) A set of independent necessary and sufficient conditions for simple majority decision. Econometrica 20:680–684CrossRefGoogle Scholar
  21. McCarty N, Meirowitz A (2006) Political game theory. Cambridge University Press, CambridgeGoogle Scholar
  22. 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
  23. Sen AK (1970) Collective choice and social welfare. Holden Day, San FranciscoGoogle Scholar
  24. Woeginger G (2003) A new characterization of the majority rule. Econ Lett 81:89–94CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.CNRS, THEMAUniversité de Cergy-PontoiseCergy-PontoiseFrance
  2. 2.Maastricht UniversityMaastrichtThe Netherlands

Personalised recommendations