Group decisions from individual rankings: The Borda–Condorcet rule
| Autor: | Carmen Herrero, Antonio Villar |
|---|---|
| Přispěvatelé: | Universidad de Alicante. Departamento de Fundamentos del Análisis Económico, Análisis Económico |
| Rok vydání: | 2021 |
| Předmět: |
Information Systems and Management
Theoretical computer science Multiple rankings General Computer Science Computer science 0211 other engineering and technologies 02 engineering and technology Management Science and Operations Research Condorcet method Industrial and Manufacturing Engineering Set (abstract data type) 0502 economics and business Stable distributions Evaluation function 050210 logistics & transportation Transitive relation Fundamentos del Análisis Económico 021103 operations research Group (mathematics) 05 social sciences Borda and Condorcet rules Incomplete rankings Stable distribution Modeling and Simulation Pairwise comparison |
| Zdroj: | RUA. Repositorio Institucional de la Universidad de Alicante Universidad de Alicante (UA) |
| ISSN: | 0377-2217 |
| Popis: | This paper presents an evaluation protocol that transforms a collection of rankings, defined over a set of alternatives, into a complete, transitive, and cardinal assessment. It combines the ideas of Borda and Condorcet by computing the support that each alternative receives on average when confronted with any other. The protocol evaluates those alternatives in terms of pairwise comparisons but weighs the outcomes differently depending on how each alternative fares with respect to the others. The evaluation appears as the stable distribution of an iterative process in which each alternative competes randomly with any other, and results in a vector of positive numbers that tells us the relative support of the different options. We show that this protocol does not require linear orderings and can also be applied in the presence of incomplete rankings and when dealing with several issues simultaneously. The first author acknowledges financial support from the Spanish Ministerio de Economía, Industria y Competitividad under project ECO2015-65820P, IMeRA, and Generalitat Valenciana, PROMETEO 2019/037. The second author recognizes financial support from the Spanish Ministerio de Economía, Industria y Competitividad under project ECO2015–65408-R (MINECO/FEDER). |
| Databáze: | OpenAIRE |
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