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The Condorcet Jury-Theorem with Two Independent Error-Probabilities

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  • Kirstein, Roland

Abstract

The Condorcet jury-theorem is derived from the implicit assumption that jury members may only commit one type of error. In binary decision situations however, two error types may occur, the probability of which is independent of each other. Taking this into account leads to a generalization of the theorem.

Suggested Citation

  • Kirstein, Roland, 2006. "The Condorcet Jury-Theorem with Two Independent Error-Probabilities," CSLE Discussion Paper Series 2006-03, Saarland University, CSLE - Center for the Study of Law and Economics.
    • Handle: RePEc:zbw:csledp:200603
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    References listed on IDEAS

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    1. Heiner, Ronald A, 1985. "Origin of Predictable Behavior: Further Modeling and Applications," American Economic Review, American Economic Association, vol. 75(2), pages 391-396, May.
    2. Feddersen, Timothy & Pesendorfer, Wolfgang, 1998. "Convicting the Innocent: The Inferiority of Unanimous Jury Verdicts under Strategic Voting," American Political Science Review, Cambridge University Press, vol. 92(1), pages 23-35, March.
    3. Kaushik Mukhopadhaya, 2003. "Jury Size and the Free Rider Problem," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 19(1), pages 24-44, April.
    4. Schofield, Norman, 2002. "Representative democracy as social choice," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 9, pages 425-455, Elsevier.
    5. Daniel Berend & Jacob Paroush, 1998. "When is Condorcet's Jury Theorem valid?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(4), pages 481-488.
    6. Kirstein, Roland & Schmidtchen, Dieter, 1997. "Judicial detection skill and contractual compliance," International Review of Law and Economics, Elsevier, vol. 17(4), pages 509-520, December.
    7. Ronald A. Heiner, 1985. "Rational Expectations When Agents Imperfectly Use Information," Journal of Post Keynesian Economics, Taylor & Francis Journals, vol. 8(2), pages 201-207, December.
    8. Roger Congleton, 2007. "Informational limits to democratic public policy: The jury theorem, yardstick competition, and ignorance," Public Choice, Springer, vol. 132(3), pages 333-352, September.
    9. Shmuel Nitzan & Jacob Paroush, 1984. "Are qualified majority rules special?," Public Choice, Springer, vol. 42(3), pages 257-272, January.
    10. Ronald Heiner, 1990. "Rule-governed behavior in evolution and human society," Constitutional Political Economy, Springer, vol. 1(1), pages 19-46, December.
    11. Amir Klausner & Moshe Pollak, 2001. "Comparative Reliability of Verdicts," Management Science, INFORMS, vol. 47(7), pages 931-948, July.
    12. Norman Schofield, 2005. "The intellectual contribution of Condorcet to the founding of the US Republic 1785–1800," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 25(2), pages 303-318, December.
    13. 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 175-186, February.
    14. Dennis Mueller, 2001. "Centralism, Federalism, and the Nature of Individual Preferences," Constitutional Political Economy, Springer, vol. 12(2), pages 161-172, June.
    15. Heiner, Ronald A, 1983. "The Origin of Predictable Behavior," American Economic Review, American Economic Association, vol. 73(4), pages 560-595, September.
    16. 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.
    17. Bottom, William P & Ladha, Krishna & Miller, Gary J, 2002. "Propagation of Individual Bias through Group Judgment: Error in the Treatment of Asymmetrically Informative Signals," Journal of Risk and Uncertainty, Springer, vol. 25(2), pages 147-163, September.
    18. Winston Koh, 2005. "Optimal sequential decision architectures and the robustness of hierarchies and polyarchies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 24(3), pages 397-411, June.
    19. Timothy Feddersen & Wolfgang Pesendorfer, 1996. "Convicting the Innocent: The Inferiority of Unanimous Jury Verdicts," Discussion Papers 1170, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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    More about this item

    Keywords

    Group decisions; judicial; imperfect decision-making;
    All these keywords.

    JEL classification:

    • L22 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Firm Organization and Market Structure
    • K40 - Law and Economics - - Legal Procedure, the Legal System, and Illegal Behavior - - - General
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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