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On the number of blocks required to access the core

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Publication:423887
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DOI10.1016/j.dam.2011.12.022zbMath1238.91018OpenAlexW2080609333MaRDI QIDQ423887

Philippe Solal, Sylvain Béal, Eric Rémila

Publication date: 30 May 2012

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2011.12.022


zbMATH Keywords

coreexcess functionDavis-Maschler reduced-gamedominance path


Mathematics Subject Classification ID

Cooperative games (91A12) Utility theory for games (91A30)


Related Items

On the characterizations of viable proposals ⋮ Accessibility and stability of the coalition structure core ⋮ Stability properties of the core in a generalized assignment problem ⋮ An optimal bound to access the core in TU-games ⋮ The equivalence of the minimal dominant set and the myopic stable set for coalition function form games



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Accessible outcomes versus absorbing outcomes
  • The core can be accessed with a bounded number of blocks
  • On the accessibility of the core
  • On the reduced game property and its converse
  • A characterization of the Shapley value in queueing problems
  • A property of the core
  • Core tâtonnement
  • An Equilibrium-Point Interpretation of Stable Sets and a Proposed Alternative Definition
  • The kernel of a cooperative game
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