Accès libre

Voting and MCDM: the pedagogy of the Saari triangle

   | 27 juin 2022
À propos de cet article

Citez

Arrow, K. J. (1951) Social Choice and Individual Values. Yale University Press (2nd ed., 1963). Search in Google Scholar

Baum, S. D. (2020) Social choice ethics in artificial intelligence. AI & Soc 35, 165–176.10.1007/s00146-017-0760-1 Search in Google Scholar

Brandt, F., Conitzer, V., Endriss, U., Lang, J. and Procaccia, A. D., eds. (2016) Handbook of Computational Social Choice. Cambridge University Press, New York, NY.10.1017/CBO9781107446984.002 Search in Google Scholar

Brams, S. J. and Fishburn, P. C. (2002) Voting Procedures. In: K. J. Arrow, A. K. Sen and K. Suzumura, eds., Handbooks in Economics 19: Handbook of Social Choice and Welfare, Vol. 1. Elsevier B.V.10.1016/S1574-0110(02)80008-X Search in Google Scholar

Eggers, A. C. (2021) A diagram for analyzing ordinal voting systems. Soc Choice Welf 56, 143–171.10.1007/s00355-020-01274-y Search in Google Scholar

Endriss, U. (2018) Judgement aggregation with rationality and feasibility constraints. In: AAMAS ’18: Proceedings of the 17th International Conference on Autonomous Agents and MultiAgent Systems. International Foundation for Autonomous Agents and Multiagent Systems, Richland, SC. Search in Google Scholar

Gerasimou, G. (2018) Indecisiveness, Undesirability and Overload Revealed Through Rational Choice Deferral. The Economic Journal, 128, 2450–2479.10.1111/ecoj.12500 Search in Google Scholar

Gorban, A. N., Makarov, V. A. and Tyukin I.Y. (2020) High-Dimensional Brain in a High-Dimensional World: Blessing of Dimensionality. Entropy 22, 82.10.3390/e22010082751651833285855 Search in Google Scholar

Hansson, S. O. and Grüne-Yanoff, T. (2017) Preferences. Stanford Encyclopedia of Philosophy. [Accessed: 2021, May 09]. Available from: https://plato.stanford.edu/entries/preferences/ Search in Google Scholar

List, C. (2013) Social choice theory. Stanford Encyclopedia of Philosophy. [Accessed: 2021, May 09]. Available from: https://plato.stanford.edu/entries/social-choice/ Search in Google Scholar

Nurmi, H. and Meskanen, T. (2000) Voting Paradoxes and MCDM. Group Decision and Negotiation, 9, 297-313.10.1023/A:1008618017659 Search in Google Scholar

Pacuit, E. (2011) Voting methods. Stanford Encyclopedia of Philosophy. [Accessed: 2021, May 09]. Available from: https://plato.stanford.edu/entries/voting-methods/ Search in Google Scholar

Pini, M. S., Rossi, F., Venable, K. B. and Walsh, T. (2001) Incompleteness and incomparability in preference aggregation: Complexity results. Artificial Intelligence 175, 1272–1289.10.1016/j.artint.2010.11.009 Search in Google Scholar

Rabinowicz, W. (2012) Value relations revisited. Economics & Philosophy 28, 133-164.10.1017/S0266267112000144 Search in Google Scholar

Romney, M., Tan, Y. and Tang, M. (2016) Three-Candidate Elections Using Saari Triangles. Wolfram Demonstrations Project. [Accessed: 2021, May 09]. Available from: https://demonstrations.wolfram.com/ThreeCandidateElectionsUsingSaariTriangles/ Search in Google Scholar

Saari, D.G. (1992) Millions of election outcomes from a single profile. Soc Choice Welfare 9, 277–306.10.1007/BF00182572 Search in Google Scholar

Saari, D.G. (1994) Geometry of Voting. Springer-Verlag, Berlin, Heidelberg, New York. Search in Google Scholar

Saari, D. G. (1999) Explaining All Three-Alternative Voting Outcomes. Journal of Economic Theory, 87, 2, 313-355.10.1006/jeth.1999.2541 Search in Google Scholar

Saari, D. G. (2008) Complexity and the geometry of voting. Mathematical and Computer Modelling, 48, 9-10, 1335-1356.10.1016/j.mcm.2008.05.033 Search in Google Scholar

Saari, D. G. (2019) Arrow, and unexpected consequences of his theorem. Public Choice 179, 133–144.10.1007/s11127-018-0531-7 Search in Google Scholar

Saari, D. G. (2021) Notes on Social Choice Theory. [Accessed: 2021, May 09] Available from: https://www.cse.wustl.edu/˜cytron/fdiv/PDFs/saariNotes.pdf Search in Google Scholar

Saari, D. G. and Barney S. (2003) Consequences of reversing preferences. The Mathematical Intelligencer, 25, 17-31.10.1007/BF02984858 Search in Google Scholar

Saari, D. G. and Tataru, M. M. (1999) The likelihood of dubious election outcomes. Economic Theory 13: 345-363.10.1007/s001990050258 Search in Google Scholar

Schoop, M. and Kilgour, D.M., eds. (2017) Group Decision and Negotiation. A Socio-Technical Perspective. Proceedings of the 17th International Conference, GDN 2017 Stuttgart, Germany, August 14–18, 2017. Springer, Cham.10.1007/978-3-319-63546-0 Search in Google Scholar

Vehko, T., Ruotsalainen, S. and Hyppönen, H., eds. (2019) E-health and e-welfare of Finland. Checkpoint 2018. National Institute for Health and Welfare (THL), Helsinki, Finland. Search in Google Scholar

Zahid, M. A. (2012) A New Framework for Elections. Shaker Publishing, Maastricht. Search in Google Scholar