Abstract
For 2-convex n-person cooperative TU games, the nucleolus is determined as some type of constrained equal award rule. Its proof is based on Maschler, Peleg, and Shapley’s geometrical characterization for the intersection of the prekernel with the core. Pairwise bargaining ranges within the core are required to be in equilibrium. This system of non-linear equations is solved and its unique solution agrees with the nucleolus.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Driessen, T.S.H., Hou, D. A note on the nucleolus for 2-convex TU games. Int J Game Theory 39, 185–189 (2010). https://doi.org/10.1007/s00182-009-0216-z
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DOI: https://doi.org/10.1007/s00182-009-0216-z