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arXiv · 2407.15372

TU-games with utilities: the prenucleolus and its characterization set

Zsófia Dornai·Miklós Pintér
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Abstract

TU-games with utility functions are considered. Generalizations of the prenucleolus, essential coalitions and the core: the u-prenucleolus, u-essential coalitions and the u-core respectively are introduced. We show that u-essential coalitions form a characterisation set for the u-prenucleolus in case of games with nonempty u-core.

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Zsófia Dornai, Miklós Pintér. 2024-07-22. TU-games with utilities: the prenucleolus and its characterization set. https://arxiv.org/abs/2407.15372

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