Condorcet vs. Borda in Light of a Dual Majoritarian Approach
Many voting rules and, in particular, the plurality rule and Condorcet-consistent voting rules satisfy the simple-majority decisiveness property. The problem implied by such decisiveness, namely, the universal disregard of the preferences of the minority, can be ameliorated by applying unbiased scoring rules such as the classical Borda rule, but such amelioration has a price; it implies erosion in the implementation of the widely accepted ‘majority principle’. Furthermore, the problems of majority decisiveness and of the erosion in the majority principle are not necessarily severe when one takes into account the likelihood of their occurrence. This paper focuses on the evaluation of the severity of the two problems, comparing simple-majoritarian voting rules that allow the decisiveness of the smallest majority larger than ½ and the classical Borda method of counts. Our analysis culminates in the derivation of the conditions that determine, in terms of the number of alternatives k, the number of voters n and the relative (subjective) weight assigned to the severity of the two problems, which of these rules is superior in light of the dual majoritarian approacht.
|Date of creation:||Apr 2010|
|Contact details of provider:|| Postal: Faculty of Social Sciences, Bar Ilan University 52900 Ramat-Gan|
Phone: Phone: +972-3-5318345
Web page: http://www.biu.ac.il/soc/ec
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Brams, Steven J. & Fishburn, Peter C., 2002.
Handbook of Social Choice and Welfare,
in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 4, pages 173-236
- Brams, Steven J., 1994. "Voting procedures," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 30, pages 1055-1089 Elsevier.
- Eyal Baharad & Shmuel Nitzan, 2003. "The Borda rule, Condorcet consistency and Condorcet stability," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(3), pages 685-688, October.
- Merlin, V. & Tataru, M. & Valognes, F., 2000.
"On the Likelihood of Condorcet's Profiles,"
223, Notre-Dame de la Paix, Sciences Economiques et Sociales.
- Eyal Baharad & Shmuel Nitzan, 2007. "The Costs of Implementing the Majority Principle: The Golden Voting Rule," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(1), pages 69-84, April.
- Nurmi, Hannu & Uusi-Heikkila, Yrjo, 1986. "Computer simulations of approval and plurality voting: The frequency of weak pareto violations and condorcet loser choices in impartial cultures," European Journal of Political Economy, Elsevier, vol. 2(1), pages 47-59.
- Mueller,Dennis C., 2003. "Public Choice III," Cambridge Books, Cambridge University Press, number 9780521894753, December.
- Gehrlein, William V. & Lepelley, Dominique, 1998. "The Condorcet efficiency of approval voting and the probability of electing the Condorcet loser," Journal of Mathematical Economics, Elsevier, vol. 29(3), pages 271-283, April.
- Gehrlein, William V. & Fishburn, Peter C., 1976. "The probability of the paradox of voting: A computable solution," Journal of Economic Theory, Elsevier, vol. 13(1), pages 14-25, August.
- Dominique Lepelley & Vincent Merlin, 2001. "Scoring run-off paradoxes for variable electorates," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 17(1), pages 53-80.
When requesting a correction, please mention this item's handle: RePEc:biu:wpaper:2010-07. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Department of Economics)
If references are entirely missing, you can add them using this form.