Ngoie, Ruffin-Benoît M. and Ulungu, Berthold E.-L. (2014): Mean-median compromise method as an innovating voting rule in social choice theory. Published in: International Journal of Applied Mathematical Research , Vol. 4, No. 1 (27 January 2015): pp. 177-182.
Preview |
PDF
MPRA_paper_62938.pdf Download (420kB) | Preview |
Abstract
This paper aims at presenting a new voting function which is obtained in Balinski-Laraki's framework and benefits mean and median advantages. The so-called Mean-Median Comprise Method (MMCM) has fulfilled criteria such as unanimity, neutrality, anonymity, monotonicity, and Arrow's independence of irrelevant alternatives. It also generalizes approval voting system.
Item Type: | MPRA Paper |
---|---|
Original Title: | Mean-median compromise method as an innovating voting rule in social choice theory |
English Title: | Mean-median compromise method as an innovating voting rule in social choice theory |
Language: | English |
Keywords: | Aggregation, Approval Voting, Borda Majority Count, Majority Judgment, Social Choice Function. |
Subjects: | B - History of Economic Thought, Methodology, and Heterodox Approaches > B1 - History of Economic Thought through 1925 > B16 - Quantitative and Mathematical C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C10 - General C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C65 - Miscellaneous Mathematical Tools C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C70 - General C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C73 - Stochastic and Dynamic Games ; Evolutionary Games ; Repeated Games D - Microeconomics > D7 - Analysis of Collective Decision-Making > D71 - Social Choice ; Clubs ; Committees ; Associations D - Microeconomics > D7 - Analysis of Collective Decision-Making > D72 - Political Processes: Rent-Seeking, Lobbying, Elections, Legislatures, and Voting Behavior |
Item ID: | 62938 |
Depositing User: | Ruffin-Benoît M. Ngoie |
Date Deposited: | 08 May 2015 13:48 |
Last Modified: | 29 Sep 2019 23:46 |
References: | Alcantud, J.C.R. and Laruelle, A. (2014), Dis& approval voting: a characterization. Social Choice and Welfare, 43(1):1-10. http://dx.doi.org/10.1007/s00355-013-0766-7. Arrow, K.J. (1951), Social choice and individual values, Yale University Press. Arrow, K.J. (1963), Social choice and individual values, Yale University Press. Balinski, M. and Laraki, R. (2007), A theory of measuring, electing and ranking. Proceedings of the National Academy of Sciences of the United States of America, 104: 8720-8725. Balinski, M. and Laraki, R. (2010), Majority Judgment: measuring, ranking and electing. MIT Press. Balinski, M. and Laraki, R. (2012) Jugement majoritaire vs vote majoritaire. Cahier 2012-37, CNRS. Basset, G.W. and Persky, J. (1999), Robust voting. Public Choice, 99:299-310. http://dx.doi.org/10.1023/A:1018324807861. Baujard, A. and Igersheim, H. (2009) Expérimentation du vote par note et du vote par approbation le 22 avril 2007. Premiers résultats. Revue économique, 60(1):189-201. Baujard, A. Gavrel, F., Igersheim, H., Laslier, J.F. and Lebon, I. (2013), Who's favored by evaluative voting ? an experiment conducted during the 2012 french presidentiel election. Cahier 2013-05, CNRS. Durand, S. (2000), Sur quelques paradoxes en Théorie du Choix Social et en décision multicritère. PhD thesis, Université Joseph Fourier-Grenoble 1. Falco, E. and Garcia-Lapresta, J.L. (2011), A distance-based extension of the majority judgement voting system. In Acta Universitatis Belii, Mathematics 18, pages 17-27. Falco, E., Garcia-Lapresta, J.L., and Rosello, L. (2013), Allowing voters to be imprecise: à proposal using multiple linguistic terms. Information Sciences. Falco, E., Garcia-Lapresta, J.L., and Rosello, L. (2014), Aggregating imprecise linguistic expressions. In P. Guo and W. Pedrycz, editors, Human-Centric Decision Making Models for Social Sciences. http://dx.doi.org/10.1007/978-3-642-39307-5_5. Felsenthal, D.S. (2012). Electoral Systems. Paradoxes, Assumptions, and Procedures, chapter 3: Review of Paradoxes Afflicting Procedures for Electing a Single Candidate. Springer-Verlag, Berlin Heidelberg. Jean, N. (2012), Environnement politique et élections : Une étude des déterminants du vote appliquée aux élections municipales françaises. PhD thesis, Université des Sciences et Technologies de Lille. Laslier, J.F. (2012), Electoral Systems, chapter 13: And the loser is... Plurality Voting. Springer-Verlag, Berlin Heilderberg. Laslier, J.F. and Van der Straeten, K. (2004) ; Une expérience de vote par assentiment. Revue française de science politique, 54(1):99-130. http://dx.doi.org/10.3917/rfsp.541.0099. Ngoie, R.B.M., Savadogo, Z. and Ulungu, B.E.L. (2014), Median and average as tools for measuring, electing and ranking: new prospects. Fundamental Journal of Mathematics and Mathematical Sciences, 1(1):9-30. Ngoie, R.B.M., Savadogo, Z. and Ulungu, B.E.L. (2015), New Prospects in Social Choice Theory: Median and average as tools for measuring, electing and ranking. Adv. Stud. Contemp. Math., 25(1): 19-38. Smith, W.D. (2012) Range voting. http://rangevoting.org/RangeVoting.html. Zahid, M.A. (2012), A new framework for elections. PhD thesis, Tilburg University. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/62938 |