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Many Profiles; Many New Paradoxes

  • Donald G. Saari
Chapter
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Part of the Studies in Economic Theory book series (ECON.THEORY, volume 3)

Abstract

I now turn from the single profile consequences of election outcomes to describe the fascinating properties of voting theory involving several profiles. A natural example is the electoral fable controversy about the Dean’s Council caused by combining the two profiles — one for each subcommittee. Beyond constructing amusing “paradoxes,” the importance of multiprofile issues is, for instance, to understand what can happen if a voter votes strategically, or if he doesn’t vote. (The voter’s options are to vote sincerely, strategically, or abstain; each option defines a different profile.) Other multiprofile issues include a concern about the consequences should more voters vote. What happens if voters change preferences? Can forming a coalition cause problems? In fact, as I show, important theorems in social choice theory, such as the Arrow Impossibility Theorem, are based on the properties a procedure must exhibit with changes in profiles.

Keywords

Relative Ranking Condorcet Winner Plurality Vote Weak Consistency House Size 
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.

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Copyright information

© Springer-Verlag Berlin · Heidelberg 1994

Authors and Affiliations

  • Donald G. Saari
    • 1
  1. 1.Department of MathematicsNorthwestern UniversityEvanstonUSA

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