Stability and allocation in a three-player game

Leqin Wu, Xin Chen, Ye Lu, Ya Xiang Yuan

Research output: Contribution to journalArticlepeer-review

Abstract

We study a three-player cooperative game with transferable utility where the players may form different coalition structures. A new concept of stability of a coalition is introduced, and the existence of a stable coalition is proven. Based on this stability concept, a novel approach is given to determine sensible allocations in a grand coalition of three players. We also compare our result with classical core solution and implement our theory on a specific price model.

Original languageEnglish (US)
Article number1340014
JournalAsia-Pacific Journal of Operational Research
Volume30
Issue number3
DOIs
StatePublished - Jun 2013

Keywords

  • Stability
  • cooperative game
  • three-player game

ASJC Scopus subject areas

  • Management Science and Operations Research

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