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Erschienen in: Social Choice and Welfare 2/2016

07.06.2016 | Original Paper

Welfare comparison of electoral systems under power sharing

verfasst von: Marco Faravelli, Priscilla Man, Bang Dinh Nguyen

Erschienen in: Social Choice and Welfare | Ausgabe 2/2016

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Abstract

We generalize Börgers’ (Am Econ Rev 94:57–66, 2004) results to a broad class of power sharing electoral systems. We show that voluntary voting under a power sharing regime Pareto dominates both random decision making and compulsory voting. We also show, however, that voluntary voting is not socially optimal, as individuals vote too frequently.

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Fußnoten
1
Castanheira (2003), Kartal (2015) and Faravelli and Sanchez-Pages (2015), among others, have also investigated the participation and welfare implications of power sharing.
 
2
“Ideal” meaning that seats are infinitely divisible.
 
3
All omitted proofs are relegated to the Appendix.
 
4
However, compulsory voting does not interim Pareto dominate these voluntary voting equilibria. Those who are not voting at these equilibria could have a higher payoff under voluntary voting as their voting cost may be too high.
 
5
There is a local maximum at \(p=0.9809\) for the social planner problem, achieving an ex-ante welfare of 0.5767. See Appendix 7.6.
 
6
It is not true that at least one equilibrium must occur at a point where there is negative externality of voting. We could have constructed the cost distribution function such that the only voluntary voting equilibrium occurs on the interval where the expected gross benefit of voting is increasing.
 
7
It should be noted that the G function in this example could have been made continuous (by making the function linear on the \(\varepsilon \)-balls around 1 / 3 and 2 / 3) and the same qualitative results would remain. It is the curvature, not (dis)continuity, that drives this example.
 
8
For notational convenience, we adopt the convention \(0^0 = 1\) throughout this paper.
 
9
We thank an anonymous referee for suggesting this simple proof.
 
Literatur
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Zurück zum Zitat Faravelli M, Man P (2014) Generalized majority rules. Working Paper, University of Queensland Faravelli M, Man P (2014) Generalized majority rules. Working Paper, University of Queensland
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Zurück zum Zitat Faravelli M, Sanchez-Pages S (2015) (Don’t) make my vote count. J Theor Polit 27(4):544–569CrossRef Faravelli M, Sanchez-Pages S (2015) (Don’t) make my vote count. J Theor Polit 27(4):544–569CrossRef
Zurück zum Zitat Herrera H, Morelli M, Palfrey TR (2014) Turnout and power sharing. Econ J 124:F131–F162CrossRef Herrera H, Morelli M, Palfrey TR (2014) Turnout and power sharing. Econ J 124:F131–F162CrossRef
Zurück zum Zitat Kartal M (2015) A comparative welfare analysis of electoral systems with endogenous turnout. Econ J 125:1369–1392CrossRef Kartal M (2015) A comparative welfare analysis of electoral systems with endogenous turnout. Econ J 125:1369–1392CrossRef
Zurück zum Zitat Krasa S, Polborn MK (2009) Is mandatory voting better than voluntary voting? Games Econ Behav 66:275–291CrossRef Krasa S, Polborn MK (2009) Is mandatory voting better than voluntary voting? Games Econ Behav 66:275–291CrossRef
Metadaten
Titel
Welfare comparison of electoral systems under power sharing
verfasst von
Marco Faravelli
Priscilla Man
Bang Dinh Nguyen
Publikationsdatum
07.06.2016
Verlag
Springer Berlin Heidelberg
Erschienen in
Social Choice and Welfare / Ausgabe 2/2016
Print ISSN: 0176-1714
Elektronische ISSN: 1432-217X
DOI
https://doi.org/10.1007/s00355-016-0970-3

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