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Title: Linear voting Rules

Author(s): Hans Peter Grüner and Thomas Tröger

Publication Date: February 2016

Keyword(s): compulsory voting, costly voting, mechanisms design, optimal voting rules and quorum rules

Programme Area(s): Public Economics

Abstract: How should a society choose between two social alternatives if participation in the decision process is voluntary and costly and monetary transfers are not feasible? Considering symmetric voters with private valuations, we show that it is utilitarian-optimal to use a linear voting rule: votes get alternative-dependent weights, and a default obtains if the weighted sum of votes stays below some threshold. Standard quorum rules are not optimal. We develop a perturbation method to characterize equilibria in the case of small participation costs and show that leaving participation voluntary increases welfare for linear rules that are optimal under compulsory participation.

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Bibliographic Reference

Grüner, H and Tröger, T. 2016. 'Linear voting Rules'. London, Centre for Economic Policy Research. https://cepr.org/active/publications/discussion_papers/dp.php?dpno=11127