Abstract
In this chapter, partition systems and their corresponding restricted games are introduced. We obtain the relationship between the core of a cooperative game and the core of the restricted game. The convexity is not transmitted, in a general way, to the corresponding restricted game. Partition convex geometries are defined as a special class of partition systems, in which the convexity is hereditary.
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© 2000 Springer Science+Business Media New York
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Bilbao, J.M. (2000). Restricted games by partition systems. In: Cooperative Games on Combinatorial Structures. Theory and Decision Library, vol 26. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4393-0_5
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DOI: https://doi.org/10.1007/978-1-4615-4393-0_5
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-6976-9
Online ISBN: 978-1-4615-4393-0
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