An axiomatic theory of political representation
- Creators
- Chambers, Christopher P.
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 gerrymanderingproof 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.
Additional Information
Copyright © 2009 Elsevier B.V. All rights reserved. ScienceDirect® is a registered trademark of Elsevier B.V. Received 5 June 2007; final version received 10 May 2008; accepted 6 June 2008.Available online 1 July 2008. I would like to thank three anonymous referees and the associate editor for very useful comments and observations. All errors are my own.Additional details
- Eprint ID
- 14122
- DOI
- 10.1016/j.jet.2008.06.005
- Resolver ID
- CaltechAUTHORS:20090430-120128866
- Created
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2009-08-10Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field