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The negative result is valid for standard scoring

The property is natural expression for the problems of general principle of consistency having been studied extensively in resource allocation problems. Suppes indifference axiom, and weak independence condition called positionalist independence.
We define the class of transformed positional broad Borda rules TPBB and introduce considerations of equity, inequity, and third concept which is somewhat intermediate in character. We show that no scoring rule which ensures that an alternative considered as worst by strict majority remains outside of the choice set. Purchase PDF 1313 KScoring rules cannot respect majority in choice and elimination simultaneouslyMathematical Social Sciences,Volume 43, Issue 2,March Pages 151155M. We also investigate the minimal extension of rule needed to recover reductionconsistency, and identify the minimal extensions of several rules including the Borda and plurality rules.
Purchase PDF 228 KEquityand inequitytype Borda rulesMathematical Social Sciences,Volume 4, Issue 2,April Pages 137154Wulf GaertnerAbstractWe propose that transformations of the wellknown broad Borda method are employed as aggregation mechanisms for profiles of socalled individual extended orderings. Purchase PDF 45 More Related ArticlesReductionconsistency in collective choice problemsJournal of Mathematical Economics,Volume 42, Issue 6,September Pages 637652ChunHsien YehAbstractWe consider the problem of choosing subset of feasible set over which each agent has strict preference.
It is shown that all elements of class TPBB satisfy the strong Pareto principle, strong monotonicity. Purchase PDF 45 More Related ArticlesReductionconsistency in collective choice problemsJournal of Mathematical Economics,Volume 42, Issue 6,September Pages 637652ChunHsien YehAbstractWe consider the problem of choosing subset of feasible set over which each agent has strict preference. Suppes indifference axiom, and weak independence condition called positionalist independence.
The negative result is valid for standard scoring rules where scores depend on the number of alternatives and agents. Purchase PDF 45 It is shown that all elements of class TPBB satisfy the strong Pareto principle, strong monotonicity.
Remzi SanverAbstractI show that there exists no scoring rule which ensures that an alternative considered as worst by strict majority remains outside of the choice set. In an appendix, several examples are presented that demonstrate the performance of some of the aggregation rules proposed in the paper.
Remzi SanverAbstractI show that there exists no scoring rule satisfies reductionconsistency, and base characterization of the top rule on the property. We also investigate the minimal extension of rule needed to recover reductionconsistency, and identify the minimal extensions of several rules including the Borda and plurality rules. Purchase PDF 228 KEquityand inequitytype Borda rulesMathematical Social Sciences,Volume 4, Issue 2,April Pages 137154Wulf GaertnerAbstractWe propose that transformations of the wellknown broad Borda method are employed as aggregation mechanisms for profiles of socalled individual extended orderings.
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