Social Choice and Welfare

, Volume 34, Issue 4, pp 611–630 | Cite as

Collective choice rules and collective rationality: a unified method of characterizations

  • Susumu CatoEmail author
  • Daisuke Hirata
Original Paper


The purpose of this paper is to investigate the relationship between collective rationality and permissible collective choice rules using a unified approach inspired by Bossert and Suzumura (J Econ Theory 138:311–320, 2008). We consider collective choice rules satisfying four axioms: unrestricted domain, strong Pareto, anonymity, and neutrality. A number of new classes of collective choice rules as well as the Pareto and Pareto extension rules are characterized under various concepts of collective rationality: acyclicity, transitivity, quasi-transitivity, semi-transitivity, and the interval order property. Further, new concepts of collective rationality, K-term acyclicity and K-term consistency, are proposed and the corresponding characterizations are provided.


Binary Relation Social Preference Econ Theory Collective Rationality Social Choice Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Aşan G, Sanver MR (2006) Maskin monotonic aggregation rules. Econ Lett 91: 179–183CrossRefGoogle Scholar
  2. Arrow KJ (1951) Social choice and individual values. Wiley, New YorkGoogle Scholar
  3. Banks JS (1995) Acyclic social choice from finite sets. Soc Choice Welf 12: 293–310CrossRefGoogle Scholar
  4. Blair DH, Pollak RA (1979) Collective rationality and dictatorship: the scope of the Arrow theorem. J Econ Theory 21: 186–194CrossRefGoogle Scholar
  5. Blair DH, Pollak RA (1982) Acyclic collective choice rules. Econometrica 50: 931–943CrossRefGoogle Scholar
  6. Barberá S (1977) The manipulation of social choice of mechanisms that do not leave too much to chance. Econometrica 45: 1573–1588CrossRefGoogle Scholar
  7. Blau JH (1979) Semiorders and collective choice. J Econ Theory 21: 195–206CrossRefGoogle Scholar
  8. Bossert W (2007) Suzumura consistency. In: Pattanaik P, Tadenuma K, Xu Y, Yoshihara N (eds) Rational choice and social welfare. Springer, New York (in press)Google Scholar
  9. Bossert W, Suzumura K (2008) A characterization of consistent collective choice rules. J Econ Theory 138: 311–320CrossRefGoogle Scholar
  10. Bossert W, Suzumura K (2009) Decisive coallitions and coherence properties. Discussion Paper, Université de Montréal, CIREQGoogle Scholar
  11. Bossert W, Suzumura K (2009) Quasi-transitive and Suzumura consistent relatioins. Discussion Paper, Université de Montréal, CIREQGoogle Scholar
  12. Brown DJ (1975) Aggregation of preferences. Q J Econ 89: 456–469CrossRefGoogle Scholar
  13. Kalai E, Muller E, Satterswaite M (1979) Social choice function when preference are convex, strictly monotonic, and continuous. Public Choice 34: 87–97CrossRefGoogle Scholar
  14. Kelly JS (1977) Strategy-proofness and social choice functions without singlevaluedness. Econometrica 45: 439–446CrossRefGoogle Scholar
  15. Kelsey D (1984) Acyclic choice without the Pareto principle. Rev Econ Stud 51: 693–699CrossRefGoogle Scholar
  16. Nakamura K (1979) The vetoers in a simple game with ordinal preferences. Int J Game Theory 8: 55–61CrossRefGoogle Scholar
  17. Nehring K (2000) Monotonicity implies generalized strategy-proofness for correspondences. Soc Choice Welf 17: 367–375CrossRefGoogle Scholar
  18. Sen AK (1969) Quasi-transitivity, rational choice and collective decisions. Rev Econ Stud 36: 381–393CrossRefGoogle Scholar
  19. Sen AK (1970) Collective choice and social welfare. Holden-Day, San FranciscoGoogle Scholar
  20. Sen AK (1979) Personal utilities and public judgements: or what’s wrong with welfare economics? Econ J 89: 537–558CrossRefGoogle Scholar
  21. Suzumura K (1976) Remarks on the theory of collective choice. Economica 43: 381–390CrossRefGoogle Scholar
  22. Weymark JA (1984) Arrow’s theorem with social quasi-orderings. Public Choice 42: 235–246CrossRefGoogle Scholar
  23. Yi J (2007) Monotonicity, implementation and generalized strategy-proofness. Econ Lett 97: 124–127CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  1. 1.Institute of Social ScienceThe University of TokyoTokyoJapan
  2. 2.Graduate School of EconomicsThe University of TokyoTokyoJapan

Personalised recommendations