Characterizations of the u-prenucleolus by dually-u-essential coalitions

Dornai, Zsófia and Pintér, Miklós ORCID: https://orcid.org/0000-0001-6373-7550 (2025) Characterizations of the u-prenucleolus by dually-u-essential coalitions. Annals of Operations Research . DOI 10.1007/s10479-025-06549-0

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Official URL: https://doi.org/10.1007/s10479-025-06549-0

Abstract

We extend the theory of TU-games with utility functions, which is a generalization of TU-games with restricted cooperation, to include dual games. By using the theory of dual games, we define dually-u-essential coalitions and show that they characterize the u-prenucleolus of u-balanced games. Additionally, we demonstrate that the intersection of u-essential and dually-u-essential coalitions also forms a characterization set for the u-prenucleolus, provided that the u-least-core is a proper subset of the u-core.

Item Type:

Article

Uncontrolled Keywords:

TU-games ; Restricted cooperation ; Prenucleolus ; Least-core ; Characterization set ; Dual game ; Anti-prenucleolus ; TU-games with utility functions

Divisions:

Institute of Operations and Decision Sciences

Subjects:

Decision making

Funders:

Hungarian Scientific Research Fund, HUN-REN Hungarian Research Network, HUN-REN-BME-BCE Quantum Technology Research Group

Projects:

K 146649, TKCS-2024/34

DOI:

10.1007/s10479-025-06549-0

ID Code:

11214