Mohajan, Haradhan (2011): Majority judgment in an election with Borda majority count. Published in: International Journal of Management and Transformation , Vol. 6, No. 1 (30 June 2012): pp. 19-31.
Preview |
PDF
MPRA_paper_50846.pdf Download (134kB) | Preview |
Abstract
This paper describes aspects of the majority judgment in an election. The majority judgment is a method of election which is a new theory in social choice where voters judge candidates instead of ranking them. The paper emphasize on the works of Michel Balinski and Rida Laraki majority judgment in an election. In Arrow’s impossibility theorem of social choice theory, the voters have to give a strictly preference ordering over the alternatives and hence they can not express indifference of the candidates. In the process of majority judgment the voters can express much more information than the Arrow’s process does but it is not free from counter-intuitive results. The Borda majority count avoids some counter-intuitive results and an attempt has been taken here to highlight them. The paper discusses both the advantages and drawbacks of the majority judgment in an election. Sometimes tie arises in majority judgment and different processes of tie-breaking are discussed with theoretical and mathematical calculations.
Item Type: | MPRA Paper |
---|---|
Original Title: | Majority judgment in an election with Borda majority count |
English Title: | Majority judgment in an election with Borda majority count |
Language: | English |
Keywords: | Majority voting, drawbacks in majority voting, manipulation of voting. |
Subjects: | C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C65 - Miscellaneous Mathematical Tools |
Item ID: | 50846 |
Depositing User: | Haradhan Kumar Mohajan |
Date Deposited: | 22 Oct 2013 06:25 |
Last Modified: | 28 Sep 2019 16:32 |
References: | Arrow, K. J. (1963), Social Choice and Individual Values. 2nd ed. Wiley, New York. Balinski, M. and Laraki, R. (2006), Election by Majority Judgment: Experimental Evidence. Ecole Polytechnique, Laboratoire d’Econometrie, Paris. Cahier No. 2006-11. Balinski, M. and Laraki, R. (2007), A theory of Measuring, Electing and Ranking. Proceedings of the National Academy of Sciences, U.S.A., 104: 8720-8725. Balinski, M. and Laraki, R. (2010a), Majority Judgement: Measuring, Ranking and Electing, MIT Press. Balinski, M. and Laraki, R. (2010b), Judge: Don’t Vote! Ecole Polytechnique Centre National de la Recherche Scientifique, Cahier n° 2010-27, France. Bishop, D. (2010), On Balinski & Laraki's “Majority Judgment” Median-based Range-like Voting Scheme. (Unpublished Manuscript). Borda, J. C. (1781), M moiré sur les lections au Scrutin, Historie de l’Academie Royale des Sciences, Paris. Brams, S. J. and Fishburn, P. C. (1983), Approval Voting, Birkh¨auser, Boston. Condorcet, M. (1785), Essai sur l’application de l’analyse à la probabilité des décisions rendues à la pluralité des voix, Paris. Galton, F. (1907), One Vote, One Value, Nature. 75: 414. H gele, G. and Pukelsheim, F. (2001), Llull’s Writings on Electoral Systems. Studia Lulliana, 41: 3-38. Islam, J.N., Mohajan, H. K. and Moolio, P. (2009a), Preference of Social Choice in Mathematical Economics, Indus Journal of Management & Social Sciences, 3(1): 17-38. Islam, J. N.; Mohajan, H. K. and Moolio, P. (2009b), Political Economy and Social Welfare with Voting Procedure: KASBIT Business Journal, 2(1&2): 42-66. Islam, J. N.; Mohajan, H. K. and Moolio, P. (2011), Method of Voting System and Manipulation of Voting: International Journal of Management and Transformation, 5(1): 10-34. Brown Walker Press 23331 Water Circle, Boca Raton, FL 33486-8540, USA. Web: www.brownwalker.com/ASMT-journals.php Kurrild-Klitgaard, P. (1999), An Empirical Example of the Condorcet Paradox of Voting in a Large Electorate. Public Choice, 107: 1231-1244. Laplace, P. S. M. de. (1820), Th´eorie analytique des probability´es, 3rd edition. Paris: Mme VE Courcier, Imprimeur-Libraire pour les Math´ematiques. Smith, W. D. (2007), Range Voting Satisfies Properties that no Rank-order System can. Center for Range Voting, 21 Shore Oaks Drive, Stony Brook NY 11790. (Unpublished Manuscript). Zahid, M. A. and Swart, H. de. (2010), The Borda Majority Count. (Unpublished Manuscript). |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/50846 |