A decision maker (DM) may not perfectly maximize her preference over the feasible set. She may feel it is good enough to maximize her preference over a sufficiently large consideration set; or just require that her choice is sufficiently well-ranked (e.g., in the top quintile of options); or...

We propose to establish wine rankings using scores that depend on the differences between favorable and unfavorable opinions about each wine, according to the Borda rule. Unlike alternative approaches and specifications, this method is well-defined even if the panelists' quality relations are...

In this chapter, we seek to review some of the central concepts and results in the literature on positionalist voting rules, which goes back to Borda (1781) . After the introduction of the basic notation and definitions in earlier parts of the chapter, we explore in Section 3 the distinction...