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Coalition Value Evaluation in Cross-partition Function Games: A Bilateral Bargaining Approach

Guangjing Yang

International Game Theory Review2025https://doi.org/10.1142/s0219198925500148article
AJG 1ABDC B
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0.50

Abstract

This paper aims to investigate cooperative games with internalities and externalities across coalitions, where the value of a coalition depends on both its own partition and the coalition structure of non-members. We introduce a class of games known as cross-partition function games (CPFGs) and propose a bilateral bargaining approach to determine the rational cross-partition bargaining payoff (rational CPB payoff) as the value for any given coalition. We provide sufficient conditions for the existence of rational threat partition pairs (RTPPs) and show that the rational CPB payoff is unique when RTPPs exist. Additionally, we define the core of the corresponding characteristic function game based on the rational CPB payoff and provide a proof of its non-emptiness for a category of CPFGs.

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https://doi.org/https://doi.org/10.1142/s0219198925500148

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@article{guangjing2025,
  title        = {{Coalition Value Evaluation in Cross-partition Function Games: A Bilateral Bargaining Approach}},
  author       = {Guangjing Yang},
  journal      = {International Game Theory Review},
  year         = {2025},
  doi          = {https://doi.org/https://doi.org/10.1142/s0219198925500148},
}

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F · citation impact0.50 × 0.4 = 0.20
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