The core of games on ordered structures and graphs

Journal article: In cooperative games, the core is the most popular solution concept, and its properties are well known. In the classical setting of cooperative games, it is generally assumed that all coalitions can form, i.e., they are all feasible. In many situations, this assumption is too strong and one has to deal with some unfeasible coalitions. Defining a game on a subcollection of the power set of the set of players has many implications on the mathematical structure of the core, depending on the precise structure of the subcollection of feasible coalitions. Many authors have contributed to this topic, and we give a unified view of these different results.

Author(s)

Michel Grabisch

Journal
  • Annals of Operations Research
Date of publication
  • 2013
Keywords JEL
C71
Keywords
  • TU-game
  • Solution concept
  • Core
  • Feasible coalition
  • Communication graph
  • Partially ordered set
Pages
  • 33-64
Version
  • 1
Volume
  • 204