Volume 57, Number 5, September-October 2023
|Page(s)||2873 - 2887|
|Published online||13 November 2023|
The probabilistic Harsanyi power solutions for probabilistic graph games
School of Management and Economics, North China University of Water Resources and Electric Power, Zhengzhou 450000, P.R. China
2 School of Management Science and Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, P.R. China
* Corresponding author: email@example.com
Accepted: 12 August 2023
This paper analyzes the probabilistic Harsanyi power solutions (PHPSs) for probabilistic graph games (PGGs), which distribute the Harsanyi dividends proportional to weights determined by a probabilistic power measure for probabilistic graph structure. The probabilistic power measure considers the role of players in all possible deterministic graphs, which can reflect the powers of players more effectively. Three axiomatic systems of the PHPSs on PGGs and cycle-free probabilistic graph games (CFPGGs) are provided to show the rationality of the PHPSs, and their independence is analyzed.
Mathematics Subject Classification: PHPSs / 91A12 / 91A43 / 05C57
Key words: Cooperative game / probabilistic graph / probabilistic power measure
© The authors. Published by EDP Sciences, ROADEF, SMAI 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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