Summary
The paper provides an alternative, but direct proof of the known fact that the Shapley value of every average-convex transferable utility game is included in the core. The study about the membership to the core is extended to the class of efficient, linear and symmetric values for TU-games. For such a value, a recursive formula is presented and used as a basic tool to establish the membership of the value to the core whenever the game satisfies an extended version of average-convexity.
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References
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© 1999 Springer-Verlag Berlin Heidelberg
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Driessen, T.S.H. (1999). Membership of Values to the Core for Average-Convex TU-Games. In: Kall, P., Lüthi, HJ. (eds) Operations Research Proceedings 1998. Operations Research Proceedings 1998, vol 1998. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58409-1_30
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DOI: https://doi.org/10.1007/978-3-642-58409-1_30
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-65381-3
Online ISBN: 978-3-642-58409-1
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