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Recursive monotonicity of the scorix : Borda meets Condorcet

(2017) GROUP DECISION AND NEGOTIATION. 26(4). p.793-813
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Abstract
Back in the eighteenth century, the works of Borda and Condorcet laid the foundations of social choice theory. On the one hand, Borda proposed to exploit the positions at which each candidate is ranked. On the other hand, Condorcet proposed to exploit the relative positions of each pair of candidates. Both proposals have equally called the attention of the scientific community, leading to two diametrically opposed points of view of the theory of social choice. Here, we introduce the intuitive property of recursive monotonicity of the scorix, which will be proven to be a natural condition for Borda and Condorcet to agree. Furthermore, we propose a ranking rule that focuses on the search for recursive monotonicity of the scorix.
Keywords
Social choice, Ranking rule, Monotonicity, Recursive monotonicity, Scorix, Monometric, SOCIAL CHOICE, MATHEMATICAL STRUCTURE, VOTING SYSTEMS, RANKING RULES, PARADOXES, VOTES

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Citation

Please use this url to cite or link to this publication:

MLA
Perez Fernandez, Raul, and Bernard De Baets. “Recursive Monotonicity of the Scorix : Borda Meets Condorcet.” GROUP DECISION AND NEGOTIATION 26.4 (2017): 793–813. Print.
APA
Perez Fernandez, R., & De Baets, B. (2017). Recursive monotonicity of the scorix : Borda meets Condorcet. GROUP DECISION AND NEGOTIATION, 26(4), 793–813.
Chicago author-date
Perez Fernandez, Raul, and Bernard De Baets. 2017. “Recursive Monotonicity of the Scorix : Borda Meets Condorcet.” Group Decision and Negotiation 26 (4): 793–813.
Chicago author-date (all authors)
Perez Fernandez, Raul, and Bernard De Baets. 2017. “Recursive Monotonicity of the Scorix : Borda Meets Condorcet.” Group Decision and Negotiation 26 (4): 793–813.
Vancouver
1.
Perez Fernandez R, De Baets B. Recursive monotonicity of the scorix : Borda meets Condorcet. GROUP DECISION AND NEGOTIATION. 2017;26(4):793–813.
IEEE
[1]
R. Perez Fernandez and B. De Baets, “Recursive monotonicity of the scorix : Borda meets Condorcet,” GROUP DECISION AND NEGOTIATION, vol. 26, no. 4, pp. 793–813, 2017.
@article{8528027,
  abstract     = {Back in the eighteenth century, the works of Borda and Condorcet laid the foundations of social choice theory. On the one hand, Borda proposed to exploit the positions at which each candidate is ranked. On the other hand, Condorcet proposed to exploit the relative positions of each pair of candidates. Both proposals have equally called the attention of the scientific community, leading to two diametrically opposed points of view of the theory of social choice. Here, we introduce the intuitive property of recursive monotonicity of the scorix, which will be proven to be a natural condition for Borda and Condorcet to agree. Furthermore, we propose a ranking rule that focuses on the search for recursive monotonicity of the scorix.},
  author       = {Perez Fernandez, Raul and De Baets, Bernard},
  issn         = {0926-2644},
  journal      = {GROUP DECISION AND NEGOTIATION},
  keywords     = {Social choice,Ranking rule,Monotonicity,Recursive monotonicity,Scorix,Monometric,SOCIAL CHOICE,MATHEMATICAL STRUCTURE,VOTING SYSTEMS,RANKING RULES,PARADOXES,VOTES},
  language     = {eng},
  number       = {4},
  pages        = {793--813},
  title        = {Recursive monotonicity of the scorix : Borda meets Condorcet},
  url          = {http://dx.doi.org/10.1007/s10726-017-9525-y},
  volume       = {26},
  year         = {2017},
}

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