On the indicator function of the plurality function (Q1181751)

One of the most common group consensus functions is the plurality rule, which chooses as winners those alternatives which are the first choices of the most decision makers. In a setting where each decision maker is allowed to give just his (her) first choice, this rule called the plurality function, was characterized by the author [Math. Soc. Sci. 21, No. 2, 101-127 (1991; Zbl 0791.90009)]. The present paper reinterprets the above-mentioned paper providing new insights into the characterization and in doing so, has to solve an interesting functional equation.