Ranking nomination rules on the basis of nominating power distributions

Yukinori Iwata

International Journal of Economic Theory, 2022, vol. 18, issue 3, 382-401

Abstract: In this study, we explore a method of ranking nomination rules as a collective decision‐making procedure. Nomination rules determine which alternatives are eligible for collective decision‐making by aggregating the opinions of nominators, which are expressed positively or negatively. It is possible to compare nomination rules based on their “nominating power” distributions because they can be seen as multiple simple games. Our nomination rules ranking has a two‐step aggregation representation. In the first step, the distribution of nominating power with regard to each issue is aggregated into an indicator based on the sign inversion of the inequality measure of voting power in simple games, as proposed by Laruelle and Valenciano (2004). Subsequently, in the second step, the aggregator sums the indicator on each issue. We add a separability axiom to the set of Laruelle and Valenciano's axioms to characterize our nomination rules ranking that has the two‐step aggregation representation.

Date: 2022
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