English

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

Optimization and Control 2024-07-23 v1

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.

Keywords

Cite

@article{arxiv.2407.15372,
  title  = {TU-games with utilities: the prenucleolus and its characterization set},
  author = {Zsófia Dornai and Miklós Pintér},
  journal= {arXiv preprint arXiv:2407.15372},
  year   = {2024}
}