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Transformation into anti-manipulation method in voting. Changes in properties

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Języki publikacji
EN
Abstrakty
EN
This paper examines the properties of the anti-manipulation method in voting. Such a method can be used by committees and similar bodies to ensure that votes reflect genuine preferences. The anti-manipulation method is based on the Borda Count and discourages strategic voting by excluding scores that deviate excessively from the mean. The method does not eliminate strategic voting but diminishes the motivation to apply it. We compare the properties of the Borda Count and the anti-manipulation method. The properties, which are most often found in the literature, were chosen for comparison. Thus, the following properties are examined: consistency, vulnerability to the no-show paradox, vulnerability to the subset choice condition, homogeneity, monotonicity, and vulnerability to the reversal bias paradox as well as the Condorcet winner and loser paradoxes. The anti-manipulation method fails to satisfy most of these properties. A real data example, the voting of a certain jury, is used as a counterexample in most cases.
Rocznik
Strony
487--499
Opis fizyczny
Bibliogr. 24 poz., tab.
Twórcy
  • Warsaw School of Economics, SGH, al. Niepodleglości 162, 02-554 Warszawa, Poland
Bibliografia
  • Aizerman, M. A. and Malishevski, A. V. (1981) General theory of best variants choice. Some aspects. IEEE Transactions on Automatic Control, AC-26, 1030-1040.
  • Felsenthal, D. S. and Nurmi H. (2017) Monotonicity Failures Afflicting Procedures for Electing a Single Candidate. Springer, Cham, Switzerland.
  • Felsenthal, D. S. and Nurmi, H. (2018) Voting Procedures for Electing a Single Candidate. Springer, Cham, Switzerland.
  • Felsenthal, D. S. and Nurmi H. (2019) Voting Procedures Under a Restricted Domain. Springer, Cham, Switzerland.
  • Fishburn, P. C. (1974) Paradoxes of voting. American Political Review 68, 537-546.
  • Fishburn, P. C. (1977) Condorcet social choice functions. Journal of Applied Mathematics 33, 469-489.
  • Fishburn, P. C. (1982) Monotonicity paradoxes in the theory of elections. Discrete Applied Mathematics 4, 119-134.
  • Fishburn, P. C. and Brams, S. J. (1983) Paradoxes of preferential voting. Mathematics Magazine 56, 207-214.
  • GazetaWyborcza, http://wyborcza.pl/7,113768,20925157,konkurs-wieniawskiego-2016-wewnetrzna-wojna-jurorow.html disableRedirects=true November 29, 2018 (Wieniawski competition, war of jurors) (in Polish).
  • Gibbard, A. (1974) A Pareto-consistent libertarian claim. Journal of Economic Theory 7 388-410.
  • Januszkiewicz, M. and Chorościak, E. (2016) Konkurs skrzypcowy im. Wieniawskiego w Poznaniu (Wieniawski Violin Competition in Poznań). Ruch Muzyczny. 50-55 (in Polish).
  • Kontek, K. and Sosnowska, H. (2020) Specific Tastes or Cliques of Jurors? How to Reduce the Level of Manipulation in Group Decisions? Group Decision and Negotiation, 29, 1057-1084.
  • Louis, P., Nunez, M. and Xefteris, D. (2023) Trimming extreme reports in preference aggregation. Games and Economic Behavior 137, 116-151.
  • Moulin, H. (1988) Condorcet’s principle implies the No-Show paradox. Journal of Economic Theory 45, 533-64.
  • Nurmi, H. (1987) Comparing Voting Systems. Reidel, Dordrecht.
  • Nurmi, H. (2004) A comparison of some distance-based choice rules in ranking environments. Theory and Decision 57, 5-24.
  • Ramsza, M. and Sosnowska, H. (2020) Trials of characterizations of antimanipulation method. Transactions on Computational Collective Intelligence XXXV, 21-37.
  • Saari, D. G. and Barney, S. (2003) Consequences of reversing preferences. Mathematical Intelligencer 25, 17-31.
  • Satherwaitte, M. A. (1975) Strategy-proofness and Arrow’s condition: existence and correspondence for voting procedures and social welfare functions. Journal of Economic Theory 10, 187-217.
  • Sen, A. K. (1970) Collective Choice and Social Welfare. Holden-Day, San Francisco.
  • Sosnowska, H. and Zawiślak, P. (2019) Differences of voting of jurors in classical music competitions. Analysis using MCDM and network theory. Multiple Criteria Decision Making 14, 100-114.
  • Woodall, D. R. (1994) Properties of preferential election rules. Voting Matters 3, 8-15.
  • Young, H. P. (1974) An axiomatization of Borda’s rule. Journal of Economic Theory 9. 43-52.
  • Young, H. P. (1975) Social choice scoring functions. SIAM Journal on Applied Mathematics 28, 824-838.
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-1e58f778-7227-4e6d-ab67-daff43b5f1c9
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