Set-rationalizable choice and self-stability

نویسندگان

  • Felix Brandt
  • Paul Harrenstein
چکیده

Rationalizability and similar notions of consistency have proved to be highly problematic in the context of social choice, as witnessed by a range of impossibility results, among which Arrow’s is the most prominent. We propose to rationalize choice functions by preference relations over sets of alternatives (set-rationalizability) and introduce two consistency conditions, α̂ and γ̂, which are defined in analogy to Sen’s α and γ. We find that a choice function satisfies α̂ if and only if it is set-rationalizable and that it satisfies α̂ and γ̂ if and only if it is self-stable, a new concept based on earlier work by Dutta. The class of self-stable social choice functions contains a number of appealing Condorcet extensions.

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عنوان ژورنال:
  • J. Economic Theory

دوره 146  شماره 

صفحات  -

تاریخ انتشار 2011