The non-emptiness of the core of a partition function form game

Takaaki Abe*, Yukihiko Funaki

*この研究の対応する著者

研究成果: Article査読

9 被引用数 (Scopus)

抄録

The purpose of this paper is to provide a necessary and sufficient condition for the non-emptiness of the core for partition function form games. We generalize the Bondareva–Shapley condition to partition function form games and present the condition for the non-emptiness of “the pessimistic core”, and “the optimistic core”. The pessimistic (optimistic) core describes the stability in assuming that players in a deviating coalition anticipate the worst (best) reaction from the other players. In addition, we define two other notions of the core based on exogenous partitions. The balanced collections in partition function form games and some economic applications are also provided.

本文言語English
ページ(範囲)715-736
ページ数22
ジャーナルInternational Journal of Game Theory
46
3
DOI
出版ステータスPublished - 2017 8 1

ASJC Scopus subject areas

  • 統計学および確率
  • 数学(その他)
  • 社会科学(その他)
  • 経済学、計量経済学
  • 統計学、確率および不確実性

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