RT info:eu-repo/semantics/article
T1 Scoring rules and social choice properties: some characterizations
A1 Llamazares Rodríguez, Bonifacio
A1 Peña García, María Teresa
K1 Voto - Matemáticas
AB In many voting systems, voters’ preferences on a set of candidates are represented by linear orderings. In this context, scoring rules are well-known procedures to aggregate the preferences of the voters. Under these rules, each candidate obtains a fixed number of points, sk, each time he/she is ranked kth by one voter and the candidates are ordered according to the total number of points they receive. In order to identify the best scoring rule to use in each situation, we need to know which properties are met by each of these procedures. Although some properties have been analyzed extensively, there are other properties that have not been studied for all scoring rules. In this paper, we consider two desirable social choice properties, the Pareto-optimality and the immunity to the absolute loser paradox, and establish characterizations of the scoring rules that satisfy each of these specific axioms. Moreover, we also provide a proof of a result given by Saari and Barney (The Mathematical Intelligencer 25:17–31, 2003), where the scoring rules meeting reversal symmetry are characterized. From the results of characterization, we establish some relationships among these properties. Finally, we give a characterization of the scoring rules satisfying the three properties.
PB Springer Verlag
SN 0040-5833
YR 2015
FD 2015
LK http://uvadoc.uva.es/handle/10324/21499
UL http://uvadoc.uva.es/handle/10324/21499
LA eng
NO Theory and Decision March, 2015, Volume 78, Issue 3, p. 429–450
NO Producción Científica
DS UVaDOC
RD 27-abr-2024