Abstract
Between simple games and matroids there are certain connections. Edmonds showed that the core of a supermodular game (it is a simple game) is a polymatroid. The combinatorial structure of a simple game is not known in general. However for a matroidal simple game we can use cetain combinatorial results.
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References
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© 1993 Springer-Verlag Berlin Heidelberg
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Stumpe, D. (1993). Some Remarks on Simple Games and Matroids. In: Karmann, A., Mosler, K., Schader, M., Uebe, G. (eds) Operations Research ’92. Physica, Heidelberg. https://doi.org/10.1007/978-3-662-12629-5_121
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DOI: https://doi.org/10.1007/978-3-662-12629-5_121
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-0679-3
Online ISBN: 978-3-662-12629-5
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