Unanimity from Various Evaluating Principles :

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  • KOBAYASHI Jun
    Graduate School of Humanities and Sociology<BR>The University of Tokyo

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Other Title
  • 多様な評価原理からの全員一致
  • 多様な評価原理からの全員一致--繰り返し評価形成モデル
  • タヨウ ナ ヒョウカ ゲンリ カラ ノ ゼンイン イッチ クリカエシ ヒョウカ ケイセイ モデル
  • ─繰り返し評価形成モデル─
  • Repeated Evaluation Formation Model

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Abstract

     The article shows that various types of mutual concerns yield a unanimous evaluation function after infinitely repeated evaluation formations. Harsanyi stated that the unanimous utilitarian principle yields a unanimous evaluation function. The question arises: Do various types of concerns yield unanimity? The model assumes that each individual's evaluation functiion is formed repeatedly through convex linear combinatioin of all individuals' utility values in the previous time period. (1) It is concluded that mutual concerns yield a unanimous limiting evaluatiion function for any alternative whatever initial utility functions are and whatever evaluating principles are. (2) It is also obtained that some individuals' concerns for the same one combined with the rest individuals' concerns for all yield unanimity. It is derived from these conclusions that the maximin principle and the selfish principle have the same characteristic, and that the utilitarian principle and the maximin principle coexist.

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