Reduced two-bound core games

Doudou Gong, Bas Dietzenbacher*, Hans Peters

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review


This paper studies Davis–Maschler reduced games of two-bound core games and shows that all these reduced games with respect to core elements are two-bound core games with the same pair of bounds. Based on associated reduced game properties, we axiomatically characterize the core, the nucleolus, and the egalitarian core for two-bound core games. Moreover, we show that the egalitarian core for two-bound core games is single-valued and we provide an explicit expression.
Original languageEnglish
Pages (from-to)447-457
Number of pages11
JournalMathematical Methods of Operations Research
Issue number3
Publication statusPublished - Dec 2022

JEL classifications

  • c71 - Cooperative Games


  • two-bound core games
  • reduced games
  • axiomatic analysis

Cite this