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Beyond Condorcet: Optimal Aggregation Rules Using Voting Records

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  • Eyal Baharad
  • Jacob Goldberger
  • Moshe Koppel
  • Shmuel Nitzan

Abstract

The difficulty of optimal decision making in uncertain dichotomous choice settings is that it requires information on the expertise of the decision makers (voters). This paper presents a method of optimally weighting voters even without testing them against questions with known right answers. The method is based on the realization that if we can see how voters vote on a variety of questions, it is possible to gauge their respective degrees of expertise by comparing their votes in a suitable fashion, even without knowing the right answers.

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File URL: http://www.cesifo-group.de/portal/page/portal/DocBase_Content/WP/WP-CESifo_Working_Papers/wp-cesifo-2011/wp-cesifo-2011-01/cesifo1_wp3323.pdf
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Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number 3323.

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Date of creation: 2011
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Handle: RePEc:ces:ceswps:_3323

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  1. Steven Brams & Peter Fishburn, 2005. "Going from theory to practice: the mixed success of approval voting," Social Choice and Welfare, Springer, vol. 25(2), pages 457-474, December.
  2. Ben-Yashar, Ruth C & Nitzan, Shmuel I, 1997. "The Optimal Decision Rule for Fixed-Size Committees in Dichotomous Choice Situations: The General Result," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(1), pages 175-86, February.
  3. Bar-El, Ronen & García Muñoz, Teresa & Neuman, Shoshana & Tobol, Yossi, 2010. "The Evolution of Secularization: Cultural Transmission, Religion and Fertility Theory, Simulations and Evidence," IZA Discussion Papers 4980, Institute for the Study of Labor (IZA).
  4. Peyton Young, 1995. "Optimal Voting Rules," Journal of Economic Perspectives, American Economic Association, vol. 9(1), pages 51-64, Winter.
  5. Owen, Guillermo & Grofman, Bernard & Feld, Scott L., 1989. "Proving a distribution-free generalization of the Condorcet Jury Theorem," Mathematical Social Sciences, Elsevier, vol. 17(1), pages 1-16, February.
  6. Leonid V. Azarnert, 2008. "Involuntary Integration in Public Education, Fertility and Human Capital," Working Papers 2008-07, Department of Economics, Bar-Ilan University.
  7. Karotkin, Drora, 1994. "Effect of the size of the bench on the correctness of court judgments: The case of Israel," International Review of Law and Economics, Elsevier, vol. 14(3), pages 371-375, September.
  8. Ruth Ben-Yashar & Igal Milchtaich, 2007. "First and second best voting rules in committees," Social Choice and Welfare, Springer, vol. 29(3), pages 453-486, October.
  9. List, Christian & Pettit, Philip, 2002. "Aggregating Sets of Judgments: An Impossibility Result," Economics and Philosophy, Cambridge University Press, vol. 18(01), pages 89-110, April.
  10. Nitzan, Shmuel & Paroush, Jacob, 1982. "Optimal Decision Rules in Uncertain Dichotomous Choice Situations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 23(2), pages 289-97, June.
  11. Steven Brams & D. Kilgour & M. Sanver, 2007. "A minimax procedure for electing committees," Public Choice, Springer, vol. 132(3), pages 401-420, September.
  12. Fishburn, Peter C., 1978. "Axioms for approval voting: Direct proof," Journal of Economic Theory, Elsevier, vol. 19(1), pages 180-185, October.
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