On the self-(in)stability of weighted majority rules

Yaron Azrieli and Semin Kim

Games and Economic Behavior, 2016, vol. 100, issue C, 376-389

Abstract: A voting rule f is self-stable (Barberà and Jackson, 2004) if any alternative rule g does not have sufficient support in the society to replace f, where the decision between f and g is based on the rule f itself. While Barberà and Jackson focused on anonymous rules in which all agents have the same voting power, we consider here the larger class of weighted majority rules. Our main result is a characterization of self-stability in this setup, which shows that only few rules of a very particular form satisfy this criterion. This result provides a possible explanation for the tendency of societies to use more conservative rules when it comes to changing the voting rule. We discuss self-stability in this latter case, where a different rule F may be used to decide between f and g.

Keywords: Voting rules; Weighted majority rules; Self-stability (search for similar items in EconPapers)
JEL-codes: D72 (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:gamebe:v:100:y:2016:i:c:p:376-389

DOI: 10.1016/j.geb.2016.10.010

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