On choosing the alternative with the best median evaluation

The voting rule proposed by Basset and Persky (Public Choice 99:299?C310, 1999) picks the alternative with the best median evaluation. This paper shows that this MaxMed principle is equivalent to the MaxMin (so-called Rawls??) principle, with the proviso that one can discard half of the population. In one-dimensional, single-peaked domains, the paper compares the MaxMed rule with majority rule and the utilitarian criterion. The MaxMed outcome is rejected by a majority of voters in favor of outcomes that are also utilitarian improvements.