Generalized medians and electoral competition with valence

Tasos Kalandrakis

Journal of Theoretical Politics, 2023, vol. 35, issue 1, 58-71

Abstract: I establish conditions for existence of pure strategy equilibria in K-candidate Downsian electoral competition (K ≥ 2) with valence when the voting rule is monotonic, generalizing existing results to non-proper rules and possibly continuous electorates. The conditions are sufficient when K ≥ 2 and (essentially) necessary in the K = 2 candidate case. They compare the size of one candidate's valence advantage to the radius of a generalized median pivotal ball (P-ball). I flesh out the difference of this generalized median with a recent alternative which, in turn, I characterize both on the basis of a weaker median property and using pivotal hyperplanes.

Keywords: Electoral competition; generalized medians; valence (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:sae:jothpo:v:35:y:2023:i:1:p:58-71

DOI: 10.1177/09516298221130265

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