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Collective Decisional Skill and Decisive Voting Games - Some Results

Author

Listed:
  • Sven Berg

    (Lund University)

  • Antonio Marañon

    (Lund University)

Abstract

The paper discusses various representations of collective decisional skill which are useful in the evaluation of decision structures. The recursion formulas we give here and the use of the concepts of majority deficiency as well as majority and unanimity games present expedient approaches in analyzing collective competence. Using the simple majority system as benchmark, applications to certain hierarchic decision structures are presented. The resulting inequalities dealing with collective decisional skills of hierarchic systems are an improvement of previous published results.

Suggested Citation

  • Sven Berg & Antonio Marañon, 2001. "Collective Decisional Skill and Decisive Voting Games - Some Results," Group Decision and Negotiation, Springer, vol. 10(5), pages 389-403, September.
    • Handle: RePEc:spr:grdene:v:10:y:2001:i:5:d:10.1023_a:1011831413677
    DOI: 10.1023/A:1011831413677
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    References listed on IDEAS

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    1. Berg, Sven & Paroush, Jacob, 1998. "Collective decision making in hierarchies," Mathematical Social Sciences, Elsevier, vol. 35(3), pages 233-244, May.
    2. Lloyd Shapley & Bernard Grofman, 1984. "Optimizing group judgmental accuracy in the presence of interdependencies," Public Choice, Springer, vol. 43(3), pages 329-343, January.
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    4. Berg, Sven, 1997. "Indirect voting systems: Banzhaf numbers, majority functions and collective competence," European Journal of Political Economy, Elsevier, vol. 13(3), pages 557-573, September.
    5. 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 289-297, June.
    6. Fishburn, Peter C. & Gehrlein, William V., 1977. "Collective rationality versus distribution of power for binary social choice functions," Journal of Economic Theory, Elsevier, vol. 15(1), pages 72-91, June.
    7. 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.
    8. Dan S. Felsenthal & Moshé Machover, 1998. "The Measurement of Voting Power," Books, Edward Elgar Publishing, number 1489.
    9. Jacob Paroush, 1997. "Order relations among efficient decision rules," Theory and Decision, Springer, vol. 43(3), pages 209-218, November.
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