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in the way captured by the voting paradox. The rule allows people to select a final collective ranking by submitting a …, the most frequently chosen ranking is the socially efficient one. Second, subsidies slightly enhance overbidding …
Persistent link: https://www.econbiz.de/10009500726
This paper contributes to the axiomatization of additive rules for ranking sets of objects under the psychological …, hedonic games and matching are among the ranking sets models where our results could potentially be applied. -- ranking sets …
Persistent link: https://www.econbiz.de/10009506416
We analyze the design of a mechanism to extract a ranking of individuals according to a unidimensional characteristic …, such as ability or need. Individuals, connected on a social network, only have local information about the ranking. We show … always construct a complete ranking …
Persistent link: https://www.econbiz.de/10012898788
We introduce and axiomatize two quasi-orderings that extend preferences on a set to its power set. First, a modified version of indirect utility takes into account the number of maximal elements in the opportunity set. This rule meets Puppe's axiom of preference for freedom. Second, an averaging...
Persistent link: https://www.econbiz.de/10013060577
We present a novel algorithm to rank smaller academic entities such as university departments or research groups within a research discipline. The Weighted Top Candidate (WTC) algorithm is a generalisation of an expert identification method. The axiomatic characterisation of WTC shows why it is...
Persistent link: https://www.econbiz.de/10012440322
Approval voting allows voters to list any number of candidates. Their scores are obtained by summing the votes cast in … uniform. Uniform fractional voting corresponds to Shapley ranking that was introduced to rank wines as the Shapley value of a … cooperative game with transferable utility. Here we analyze the properties of these "ranking games" and provide an axiomatic …
Persistent link: https://www.econbiz.de/10012862766
In this paper we present an axiomatic analysis of several ranking methods for tournaments. We find that two of them … ranking, the most common method in statistics and psychology. The other one is a new ranking method introduced in this paper …: recursive Buchholz. One of the most widely studied methods in social choice, the fair bets ranking, also performs quite well …
Persistent link: https://www.econbiz.de/10014175803
Who’s the Greatest Of All Times, be it a team or an athlete, is hotly debated among sport fans. To provide a tentative answer, we apply the mathematical concept of network centrality upon the paired comparison model. We capture the twin notions of fitness and prestige across epochs in order to...
Persistent link: https://www.econbiz.de/10014122064
We investigate the ways in which a linear order on a finite set A can be consistently extended to a linear order on a set Pk(A) of multisets on A of fixed cardinality k. We show that for card(A) = 3 all linear orders on Pk(A) are additive and classify them by means of Farey fractions. For...
Persistent link: https://www.econbiz.de/10014113893
Two-stage superposition choice procedures, which sequentially apply two choice procedures so that the result of the first choice procedure is the input for the second choice procedure, are studied. We define which of them satisfy given normative conditions, showing how a final choice is changed...
Persistent link: https://www.econbiz.de/10012916704