Optimality among restricted majority decision rules
โ Scribed by Drora Karotkin
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 430 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0176-1714
No coin nor oath required. For personal study only.
โฆ 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.
๐ SIMILAR VOLUMES
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
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