We introduce a procedurally fair rule to study a situation where people disagree about the value of three alternatives in the way captured by the voting paradox. The rule allows people to select a final collective ranking by submitting a bid vector with six components (the six possible rankings...

Consider a database of academic papers where each paper has a scientific worth and a group of authors. We propose a new way of measuring individual academic productivity by evaluating authorship, the extent of an author's contribution to each paper. Our method, CoScore, uses the varying levels...

A parameterized characterization of height-based total extensions of Principal filtral opportunity rankings is provided and shown to include as a special case a version of the well-known Pattanaik-Xu characterization of the cardinality-based ranking

One of the most famous ranking methods for digraphs is the ranking by Copeland score. The Copeland score of a node in a digraph is the difference between its outdegree (i.e. its number of outgoing arcs) and its indegree (i.e. its number of ingoing arcs). In the ranking by Copeland score, a node...

Ranking by rating consists in evaluating the performances of items using exoge- nous rating functions and ranking these items according to their performance rat- ings. Any such method is separable: the ordering of two items does not depend on the performances of the remaining items. When...

Ranking methods are fundamental tools in many areas. Popular methods aggregate the statements of 'experts' in different ways. As such, there are various reasonable ranking methods, each one of them more or less adapted to the environment under consideration. This paper introduces a new method,...

Some researchers have addressed the problem of aggregating individual preferences or rankings by seeking a ranking that is closest to the individual rankings. Their methods differ according to the notion of distance that they use. The best known method of this sort is due to Kemeny. The first...

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...

A parameterized characterization of height-based total extensions of principal filtral opportunity rankings is provided and shown to include, as a special case, a version of the well-known Pattanaik-Xu characterization of the cardinality-based ranking