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On analysis and characterization of the mean-median compromise method

Ngoie, Ruffin-Benoît M. and Ulungu, Berthold E.-L. (2014): On analysis and characterization of the mean-median compromise method. Published in: International Journal of Scientific and Innovative Mathematical Research (IJSIMR) , Vol. 3, No. 3 (March 2015): pp. 56-64.

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Most important results in Social Choice Theory concern impossibility theorems. They claim that no function, as complex as it might be, can satisfy simultaneously a restricted number of fair properties describing a democratic system. However, adopting new voting ideas can push back those limits. Some years ago, such a work was boosted by Balinski and Laraki on the basis of evaluations cast by voters to competitors; this is an alternative to arrovian framework which is based on ranking candidates by voters. Recently, Ngoie and Ulungu have proposed a new voting function – defined in both Balinski and Laraki’s spirit – which hybridizes Majority Judgment (MJ) and Borda Majority Count (BMC): the so-called Mean-Median Compromise Method (MMCM). The method puts at its credit the desired properties of MJ and BMC as well; indeed, it reduces their insufficiencies. The purpose of this paper is double: analyse and characterize MMCM features in comparison to other valuable voting functions.

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