Journal Article10.1007/BF00187240
Optimality among restricted majority decision rules
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TL;DR: In this paper, the authors propose an algorithm for identifying the optimal restricted majority rule among all restricted majority rules, which is based on the voting profiles of the decision makers and the expected utility from the decision is determined by which members are appointed to the committee.
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Abstract: When a group of decision makers with common interests faces a dichotomous choice, the task of deciding may be delegated to a committee consisting of a subset of the original group. This procedure is called a restricted majority decision rule. If each member of the original group is characterized by the probability of his deciding correctly, the expected utility from the decision is determined by which members are appointed to the committee. The conditions between enabling the comparison of alternative restricted majority rules are based on the voting profiles of the decision makers. The purpose of the current study is to propose an algorithm for identifying the optimal restricted majority rule amongst all restricted majority rules.
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Citations
Optimum committee size: Quality-versus-quantity dilemma
Drora Karotkin,Jacob Paroush +1 more
TL;DR: This study provides criteria, as well as an algorithm, for deciding on the optimum size of boards and committees, and examines the validity of Condorcet's claim under the condition of reduced team competence with size.
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Justification of the simple majority and chairman rules
TL;DR: In this article, the authors prove the optimality of the simple majority and the chairman rules under complete ignorance of the decision competencies of decision makers, by employing the uncertain dichotomous model.
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Inferiority of restricted majority decision rules
TL;DR: In this article, it was shown that for any group of decision makers one of the restricted majority decision rules is always the worst of all weighted majority decision rule rules, both in terms of efficiency and effectiveness.
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References
Optimizing group judgmental accuracy in the presence of interdependencies
Lloyd S. Shapley,Bernard Grofman +1 more
TL;DR: In this paper, a group of people confronted with a dichotomous choice (for example, a yes or no decision) is considered, and the group decision procedure that maximizes the likelihood that the group will make the better of the two choices open to it is a weighted voting rule that assigns weights, wi, such that the better choice is defined in terms of some linear ordering of the alternatives.
Performance evaluation of some special classes of weighted majority rules
Mark Gradstein,Shmuel Nitzan +1 more
TL;DR: In this article, the authors evaluate the optimality of four classes of decision rules: the expert rule, the balanced expert rules, the simple majority rule, and the restricted simple majority rules.
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The essential ranking of decision rules in small panels of experts
TL;DR: The essential ordering significantly reduces the number of possible rankings of the rules, and thus, simplifies the development of the ranking algorithm and has important applications when the available information on the experts' decisional skills is incomplete.
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Robustness of optimal majority rules over teams with changing size
Jacob Paroush,Drora Karotkin +1 more
TL;DR: This work investigates the robustness of optimal restricted majority rules under a changing size of a decision group and finds that optimal restrictions are robust over reductions of the decision team.