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Minimal Stable Voting Rules

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  • H'ector Hermida-Rivera

Abstract

In this paper, I characterize minimal stable voting rules and minimal self-stable constitutions (i.e., pairs of voting rules) for societies in which only power matters. To do so, I first let players' preference profiles over voting rules satisfy four natural axioms commonly used in the analysis of power: non-dominance, anonymity, null player and swing player. I then provide simple notions of minimal stability and minimal self-stability, and show that the families of minimal stable voting rules and minimal self-stable constitutions are fairly small. Finally, I conclude that political parties have evolved to ensure the minimal self-stability of otherwise not minimal self-stable constitutions.

Suggested Citation

  • H'ector Hermida-Rivera, 2025. "Minimal Stable Voting Rules," Papers 2506.15323, arXiv.org.
    • Handle: RePEc:arx:papers:2506.15323
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    File URL: http://arxiv.org/pdf/2506.15323
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