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Optimality among restricted majority decision rules

โœ Scribed by Drora Karotkin


Publisher
Springer
Year
1992
Tongue
English
Weight
430 KB
Volume
9
Category
Article
ISSN
0176-1714

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โœฆ Synopsis


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. * I am indebted to Shmuel Nitzan for helpful comments and suggestions. All shortcomings are, of course, entirely my responsibility.


๐Ÿ“œ SIMILAR VOLUMES


Majority rule and general decision rules
โœ Philip D. Straffin ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› Springer US ๐ŸŒ English โš– 454 KB

For an n-member body making dichotomous decisions, decision rules can be formulated as simple games. Of all possible decision rules, majority rule maximizes the average reponsiveness of the body to individual preferences. It is the unique decision rule which does this when n is odd, but not when n i

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โœ Drora Karotkin; Shmuel Nitzan ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Springer ๐ŸŒ English โš– 344 KB

Recently, Karotkin (1993) has shown that in the symmetric uncertain dichotomous choice model the set of restricted majority rules (RMRs) is special in the sense that a member of this family of rules is always the worst rule among the potentially optimal weighted majority rules (WMRs). In the curren