Social Choice and Welfare

, Volume 45, Issue 2, pp 379–398 | Cite as

Further results on dictatorial domains

Article

Abstract

This paper generalizes the results in Aswal et al. (Econ Theory 22:45–62, 2003) on dictatorial domains. This is done in two ways. In the first, the notion of connections between pairs of alternatives in Aswal et al. (2003) is weakened to weak connectedness. This notion requires the specification of four preference orderings for every alternative pair. Domains that are linked in the sense of Aswal et al. (2003) with weak connectedness replacing connectedness, are shown to be dictatorial. In the second, the notion of connections for alternative pairs is strengthened relative to its counterpart in Aswal et al. (2003). However, a domain is shown to be dictatorial if the induced graph is merely connected rather than linked. This result generalizes the result in Sato (Rev Econ Design 14:331–342, 2010) on circular domains.

JEL Classification

D71 

References

  1. Aswal N, Chatterji S, Sen A (2003) Dictatorial domains. Econ Theory 22:45–62CrossRefGoogle Scholar
  2. Chatterji S, Sen A (2011) Tops-only domains. Econ Theory 46:255–282CrossRefGoogle Scholar
  3. Dogan E, Sanver M (2007) On the alternating use of “unanimity” and “surjectivity” in the Gibbard–Satterthwaite theorem. Econ Lett 96:140–143CrossRefGoogle Scholar
  4. Gibbard A (1973) Manipulation of voting schemes: a general result. Econometrica 41:587–601CrossRefGoogle Scholar
  5. Sato S (2010) Circular domains. Rev Econ Des 14:331–342Google Scholar
  6. 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
  7. West D (2001) Introduction to graph theory. Prentice Hall, New JerseyGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Institute of Social and Economic ResearchOsaka UniversityOsakaJapan

Personalised recommendations