IMPOSSIBILITY THEOREMS ON MUTUAL EVALUATION

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  • 相互評価の下での不可能性定理
  • ソウゴ ヒョウカ ノ シタ デ ノ フカノウセイ テイリ

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Abstract

Arrow's impossibility theorem, which is a classical result in social choice theory, shows that it is impossible to design a democratic rule for social decision making that obeys some reasonable criteria. In the Arrow's model, each individual of a society has a preference order among given alternatives and the society needs to agree on a preference order that aggregates individuals' preference orders. In this paper, we consider a model where each individual has a preference order on all the individuals but herself/himself. We introduce some reasonable criteria of an aggregation rule for this mutual evaluation model, investigate several combinations of these criteria, and show that each of these combinations leads to a negative consequence.

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