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An axiomatic theory of political representation

Chambers, Christopher P. (2005) An axiomatic theory of political representation. Social Science Working Paper, 1218. California Institute of Technology , Pasadena, CA. (Unpublished)

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We discuss the theory of voting rules which are immune to gerrymandering. Our approach is axiomatic. We show that any rule that is unanimous, anonymous, and representative consistent must decide a social alternative 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 voters can vote over elements of the unit interval, we introduce and characterize the quasi-proportional rules based on unanimity, anonymity, representative consistency, 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 establish that upon weakening strict monotonicity, the generalized target rules emerge.

Item Type:Report or Paper (Working Paper)
Chambers, Christopher P.0000-0001-8253-0328
Additional Information:I would like to thank participants of the 2004 Meeting of the Society of Economic Design, and from the joint Harvard/MIT Economic Theory seminar.
Group:Social Science Working Papers
Subject Keywords:gerrymandering, representative systems, proportional representation, social choice, quasi-arithmetic means
Series Name:Social Science Working Paper
Issue or Number:1218
Classification Code:JEL: D63, D70
Record Number:CaltechAUTHORS:20170809-092845210
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:80002
Deposited By: Hanna Storlie
Deposited On:09 Aug 2017 16:35
Last Modified:09 Mar 2020 13:18

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