2009-01-01, English, Article, Journal or magazine article edition: An axiomatic theory of political representation. Chambers, Christopher P.

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Physical Description
  • Magazine/​Journal article
Published
  • Elsevier B.V., 2009 Jan
Language
  • English

Edition details

Title
  • An axiomatic theory of political representation.
Appears In
  • Journal of Economic Theory, v.144, no.1, 2009 Jan, p.375(15) (ISSN: 0022-0531)
Author
  • Chambers, Christopher P.
Published
  • Elsevier B.V., 2009 Jan
Physical Description
  • Magazine/​Journal article
Subjects
Target Audience
  • Academic
Summary
  • To link to full-text access for this article, visit this link: http:/​/​dx.doi.org/​10.1016/​j.jet.2008.06.005 Byline: Christopher P. Chambers Keywords: Gerrymandering; Representative systems; Proportional representation; Social choice; Quasi-arithmetic means Abstract: We discuss the theory of gerrymandering-proof voting rules. Our approach is axiomatic. We show that, for votes over a binary set of alternatives, any rule that is unanimous, anonymous, and gerrymandering-proof must decide a social outcome as a function of the proportions of agents voting for each alternative, and must either be independent of this proportion, or be in one-to-one correspondence with the proportions. In an extended model in which the outcome of a vote at the district level can be a composition of a governing body (with two possible parties), we discuss the quasi-proportional rules (characterized by unanimity, anonymity, gerrymandering-proofness, strict monotonicity, and continuity). We show that we can always (pointwise) approximate a single-member district quota rule with a quasi-proportional rule. We also discuss a more general environment, where there may be more than two parties. Author Affiliation: Division of the Humanities and Social Sciences, California Institute of Technology, 1200 E. California Blvd, Pasadena, CA 91125, United States Article History: Received 5 June 2007; Revised 10 May 2008; Accepted 6 June 2008
Terms of Use
  • COPYRIGHT 2009 Elsevier B.V.
Language
  • English
Database
  • Gale Academic OneFile
  • Gale General OneFile
  • Gale Expanded Academic
Identifier
  • 190661558

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