Network visualization of cooperative games

Citation

Pérez-Sechi, C.I.; Castro, J.; Gómez, D.; Martín, D.; Espínola, R.; Gutiérrez, I. Network Visualization of Cooperative Games. Appl. Sci. 2025, 15, 3825. https://doi.org/10.3390/ app15073825

Abstract

Over the last five decades, the modeling of characteristic functions has been the key focus of cooperative game theory research. Solutions for distributing goods among players have been extensively explored, while less emphasis has been placed on examining player interactions. This paper emphasizes the importance of player relationships, with the help of the ‘player interaction index’ to capture coalition formation needs. By representing interactions through a graph, this study deepens the understanding of player relationships and synergies. It elaborates a graphical representation using network analysis to visualize player interactions, enhancing the understanding of the dynamics within the game.

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Data Availability Statement: The Python v3.10.16 implementation of the code which was used to generate the network visualizations, and to calculate the Shapley value Shi(N, v) and the interaction index Iij(v) is available as the CGT library version 0.0.12 at https://github.com/perez-sechi/cgt/releases/tag/0.0.12 (accessed on 27 February 2025).

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