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Further results on dictatorial domains

Anup Pramanik ()

Social Choice and Welfare, 2015, vol. 45, issue 2, 379-398

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. Copyright Springer-Verlag Berlin Heidelberg 2015

Keywords: D71 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (12)

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DOI: 10.1007/s00355-015-0889-0

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