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The Condorcet Jury-Theorem with Two Independent Error-Probabilities

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Listed:
  • Roland Kirstein

    (University of Saarland)

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

  • Roland Kirstein, "undated". "The Condorcet Jury-Theorem with Two Independent Error-Probabilities," German Working Papers in Law and Economics 2006-1-1154, Berkeley Electronic Press.
  • Handle: RePEc:bep:dewple:2006-1-1154
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    References listed on IDEAS

    as
    1. 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.
    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 175-186, February.
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    4. Dennis Mueller, 2001. "Centralism, Federalism, and the Nature of Individual Preferences," Constitutional Political Economy, Springer, vol. 12(2), pages 161-172, June.
    5. 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.
    6. 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.
    7. Shmuel Nitzan & Jacob Paroush, 1984. "Are qualified majority rules special?," Public Choice, Springer, vol. 42(3), pages 257-272, January.
    8. 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.
    9. repec:cup:apsrev:v:92:y:1998:i:01:p:23-35_20 is not listed on IDEAS
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    11. 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.
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    13. Heiner, Ronald A, 1983. "The Origin of Predictable Behavior," American Economic Review, American Economic Association, vol. 73(4), pages 560-595, September.
    14. 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.
    15. 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.
    16. 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.
    17. 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.
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    More about this item

    Keywords

    Group decisions; judicial; imperfect decision-making;

    JEL classification:

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

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