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Voting and MCDM: the pedagogy of the Saari triangle

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Języki publikacji
EN
Abstrakty
EN
The essay has a twofold objective: primarily, to present an application of voting theory as a possible evaluation method, and concurrently, to offer a pedagogic framework, based on that very application. Evaluation and certain notions of preference and value have common semantic roots. By equating preference and choice, we end up amidst social choice (SC) theory and voting methods, also manageable as joint decisions in multiple-criteria decision making (MCDM). With the aid of the Saari triangle some essential differences of pairwise and positional voting rules for up to three alternatives can be depicted. A voting or decision rule does not necessarily follow the true preferences of the actors, but may mirror the problematics of the chosen rule. The Saari triangle makes it possible to visualize some paradoxical results in the exemplary evaluations of digital websites through an imaginary case description via voting and MCDM. As candidates and voters in SC are put to stand for alternatives and criteria in MCDM, the methodological and pedagogical goals of the study are achieved.
Słowa kluczowe
Rocznik
Strony
401--412
Opis fizyczny
Bibliogr. 26 poz., rys., tab.
Twórcy
  • University of Eastern Finland
Bibliografia
  • Arrow, K. J. (1951) Social Choice and Individual Values. Yale University Press (2nd ed., 1963).
  • Baum, S. D. (2020) Social choice ethics in artificial intelligence. AI & Soc 35, 165–176.
  • 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.
  • 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.
  • Eggers, A. C. (2021) A diagram for analyzing ordinal voting systems. Soc Choice Welf 56, 143–171.
  • 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.
  • Gerasimou, G. (2018) Indecisiveness, Undesirability and Overload Revealed Through Rational Choice Deferral. The Economic Journal, 128, 2450–2479.
  • 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.
  • 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/
  • List, C. (2013) Social choice theory. Stanford Encyclopedia of Philosophy. [Accessed: 2021, May 09]. Available from: https://plato.stanford.edu/entries/social-choice/
  • Nurmi, H. and Meskanen, T. (2000) Voting Paradoxes and MCDM. Group Decision and Negotiation, 9, 297-313.
  • Pacuit, E. (2011) Voting methods. Stanford Encyclopedia of Philosophy. [Accessed: 2021, May 09]. Available from: https://plato.stanford.edu/entries/voting-methods/
  • 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.
  • Rabinowicz, W. (2012) Value relations revisited. Economics & Philosophy 28, 133-164.
  • 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/
  • Saari, D.G. (1992) Millions of election outcomes from a single profile. Soc Choice Welfare 9, 277–306.
  • Saari, D.G. (1994) Geometry of Voting. Springer-Verlag, Berlin, Heidelberg, New York.
  • Saari, D. G. (1999) Explaining All Three-Alternative Voting Outcomes. Journal of Economic Theory, 87, 2, 313-355.
  • Saari, D. G. (2008) Complexity and the geometry of voting. Mathematical and Computer Modelling, 48, 9-10, 1335-1356.
  • Saari, D. G. (2019) Arrow, and unexpected consequences of his theorem. Public Choice 179, 133–144.
  • 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
  • Saari, D. G. and Barney S. (2003) Consequences of reversing preferences. The Mathematical Intelligencer, 25, 17-31.
  • Saari, D. G. and Tataru, M. M. (1999) The likelihood of dubious election outcomes. Economic Theory 13: 345-363.
  • 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.
  • 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.
  • Zahid, M. A. (2012) A New Framework for Elections. Shaker Publishing, Maastricht.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-112f8a42-9a56-4f92-8291-ce9bd39691ab
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