Cores of Combined Games

Francis Bloch and Geoffroy de Clippel

No 2009-1, Working Papers from Brown University, Department of Economics

Abstract: This paper studies the core of combined games, obtained by summing two coalitional games. It is shown that the set of balanced transferable utility games can be partitioned into equivalence classes of component games to determine whether the core of the combined game coincides with the sum of the cores of its components. On the other hand, for non-balanced games, the binary relation associating two component games whose combination has an empty core is not transitive. However, we identify a class of non-balanced games which, combined with any other non-balanced game, has an empty core.

Keywords: Cooperative Game; Core; Additivity; Issue Linkage; Multi Issue Bargaining (search for similar items in EconPapers)
Date: 2009
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Journal Article: Cores of combined games (2010)
Working Paper: Cores of combined games (2008)
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Persistent link: https://EconPapers.repec.org/RePEc:bro:econwp:2009-1

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