DP11127 Linear voting Rules

Author(s): Hans Peter Grüner, Thomas Tröger
Publication Date: February 2016
Date Revised: January 2018
Keyword(s): compulsory voting, costly voting, mechanisms design, optimal voting rules, quorum rules
Programme Areas: Public Economics
Link to this Page: cepr.org/active/publications/discussion_papers/dp.php?dpno=11127

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.