Reconciling marginalism with egalitarianism: Consistency, monotonicity, and implementation of egalitarian Shapley values

René van den Brink, Yukihiko Funaki, Yuan Ju

研究成果: Article

40 引用 (Scopus)

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One of the main issues in economic allocation problems is the trade-off between marginalism and egalitarianism. In the context of cooperative games this trade-off can be framed as one of choosing to allocate according to the Shapley value or the equal division solution. In this paper we provide three different characterizations of egalitarian Shapley values being convex combinations of the Shapley value and the equal division solution. First, from the perspective of a variable player set, we show that all these solutions satisfy the same reduced game consistency. Second, on a fixed player set, we characterize this class of solutions using monotonicity properties. Finally, towards a strategic foundation, we provide a non-cooperative implementation for these solutions which only differ in the probability of breakdown at a certain stage of the game. These characterizations discover fundamental differences as well as intriguing connections between marginalism and egalitarianism.

元の言語English
ページ(範囲)693-714
ページ数22
ジャーナルSocial Choice and Welfare
40
発行部数3
DOI
出版物ステータスPublished - 2013 1 1

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ASJC Scopus subject areas

  • Social Sciences (miscellaneous)
  • Economics and Econometrics

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