Reduced two-bound core games

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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
PublisherMaastricht University, Graduate School of Business and Economics
Number of pages13
Publication statusPublished - 20 Jan 2022

Publication series

SeriesGSBE Research Memoranda

JEL classifications

  • c71 - Cooperative Games


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


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