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A Measure of Bizarreness

Chambers, Christopher P. and Miller, Alan D. (2007) A Measure of Bizarreness. Social Science Working Paper, 1272. California Institute of Technology , Pasadena, CA. (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20170728-160719330

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Abstract

We introduce a path-based measure of convexity to be used in assessing the compactness of legislative districts. Our measure is the probability that a district will contain the shortest path between a randomly selected pair of its points. The measure is defined relative to exogenous political boundaries and population distributions.


Item Type:Report or Paper (Working Paper)
Additional Information:We would like to thank Paul Healy, Ehud Lehrer, R. Preston McAfee, Matthew Spitzer, Peyton Young, and seminar participants at Caltech for their comments.
Group:Social Science Working Papers
Subject Keywords:Compactness, Contiguity, Convexity, Disconnection Sensitivity, Path-based Measure, Elections, Gerrymandering
Series Name:Social Science Working Paper
Issue or Number:1272
Classification Code:JEL: D72, K00, K19
Record Number:CaltechAUTHORS:20170728-160719330
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170728-160719330
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:79569
Collection:CaltechAUTHORS
Deposited By: Jacquelyn Bussone
Deposited On:02 Aug 2017 17:53
Last Modified:03 Oct 2019 18:21

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