Decomposing a balanced game: A necessary and sufficient condition for the nonemptiness of the core

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The Bondareva–Shapley condition is the most eminent necessary and sufficient condition for the core of a transferable utility game to be nonempty. In this paper, we provide a new necessary and sufficient condition. We show that a game has a nonempty core if and only if the game can be decomposed into some simple games.

Original languageEnglish
Pages (from-to)9-13
Number of pages5
JournalEconomics Letters
Publication statusPublished - 2019 Mar 1



  • Cooperative game
  • Core
  • Decomposition

ASJC Scopus subject areas

  • Finance
  • Economics and Econometrics

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