On the existence of population-monotonic solutions on the domain of quasi-convex games

Toru Hokari, Seigo Uchida

研究成果: Article

抜粋

On the domain of convex games, the Shapley value and the Dutta–Ray solutions are two well-known solutions that satisfy population-monotonicity. The existence of a population-monotonic solution on the domain of quasi-convex games has been an open question. In this note, we show that in general, no convex combination of the above two solutions can be extended to the domain of quasi-convex games in such a way that preserves population-monotonicity and efficiency.

元の言語English
ページ(範囲)90-92
ページ数3
ジャーナルOperations Research Letters
45
発行部数1
DOI
出版物ステータスPublished - 2017 1 1

ASJC Scopus subject areas

  • Software
  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering
  • Applied Mathematics

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