Geodesic
Cooperative solutions in multi-star network games
Contributions to game theory and management, Tome 16 (2023), pp. 132-144

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A model also known as multi-agent systems, namely the multi-star model is considered. In a multi-agent system, a two-level game is played, the first-level is the external game, and the second-level is the internal game. An approach is proposed how to distribute the benefits to players in the first-level game and the second-level game. The characteristic functions are constructed for the multi-star model. Based on the proposed characteristic functions, the combination of the Shapley value and the proportional solution as natural optimal principle to distribute the benefits in the first-level game and in the second-level game is proposed.
Keywords: multi-agent system, the Shapley value, the proportional solution. 
@article{CGTM_2023_16_a9,
     author = {Tian Lu and Jianpeng Zhang},
     title = {Cooperative solutions in multi-star network games},
     journal = {Contributions to game theory and management},
     pages = {132--144},
     publisher = {mathdoc},
     volume = {16},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2023_16_a9/}
}
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Tian Lu; Jianpeng Zhang. Cooperative solutions in multi-star network games. Contributions to game theory and management, Tome 16 (2023), pp. 132-144. http://geodesic.mathdoc.fr/item/CGTM_2023_16_a9/