Linear voting rules


Grüner, Hans Peter ; Tröger, Thomas


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URL: https://ub-madoc.bib.uni-mannheim.de/43628
URN: urn:nbn:de:bsz:180-madoc-436284
Document Type: Working paper
Year of publication: 2018
The title of a journal, publication series: Working Paper Series
Volume: 18-01
Place of publication: Mannheim
Publication language: English
Institution: School of Law and Economics > VWL, Wirtschaftspolitik (Grüner 1999-)
MADOC publication series: Department of Economics > Working Paper Series
Subject: 330 Economics
Classification: JEL: D71 , D72 , D82,
Keywords (English): Mechanisms design , optimal voting rules , costly voting , compulsory voting , quorum rules
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 alternativedependent 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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