2024-03-29T07:36:56Zhttps://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/214992021-06-23T10:05:54Zcom_10324_1146com_10324_931com_10324_894col_10324_1262
Scoring rules and social choice properties: some characterizations
Llamazares Rodríguez, Bonifacio
Peña García, María Teresa
Voto - Matemáticas
Producción Científica
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.
Ministerio de Economía, Industria y Competitividad (ECO2011-24200)
Ministerio de Economía, Industria y Competitividad (ECO2012-32178)
Junta de Castilla y León (programa de apoyo a proyectos de investigación – Ref. VA066U13)
2016-12-09T12:37:17Z
2016-12-09T12:37:17Z
2015
info:eu-repo/semantics/article
https://doi.org/10.1007/s11238-014-9429-0
Theory and Decision March, 2015, Volume 78, Issue 3, p. 429–450
0040-5833
http://uvadoc.uva.es/handle/10324/21499
429
3
450
Theory and Decision March
78
eng
http://link.springer.com
Attribution-NonCommercial-NoDerivatives 4.0 International
info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/4.0/
application/pdf
Springer Verlag