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Minimal Stable Voting Rules

Héctor Hermida-Rivera

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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.

Date: 2025-06
New Economics Papers: this item is included in nep-cdm, nep-des, nep-mic and nep-pol
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Published in Games and Economic Behavior, 153, 2025, p. 541-553

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http://arxiv.org/pdf/2506.15323 Latest version (application/pdf)

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