The core-partition of a hedonic game

Vincent Iehlé

    Research output: Contribution to journalArticleResearchpeer-review

    15 Citations (Scopus)

    Abstract

    In a hedonic game the preference relation of each player is defined on the set of coalitions that contain the player. The paper provides a necessary and sufficient condition for core-partition existence in a hedonic game. The condition is based on a new concept of balancedness, called pivotal balancedness, involving subsets of players in any given family of coalitions. Pivotal balancedness highlights the existence of key players in each coalition that are relevant for the existence of a core-partition. © 2007 Elsevier B.V. All rights reserved.
    Original languageEnglish
    Pages (from-to)176-185
    JournalMathematical Social Sciences
    Volume54
    Issue number2
    DOIs
    Publication statusPublished - 1 Sep 2007

    Keywords

    • Balancedness
    • Core-partition
    • Group formation
    • Hedonic game

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