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Published August 2, 2017 | Submitted
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A Measure of Bizarreness

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.

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.

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August 19, 2023
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