Issue |
RAIRO-Oper. Res.
Volume 57, Number 5, September-October 2023
|
|
---|---|---|
Page(s) | 2873 - 2887 | |
DOI | https://doi.org/10.1051/ro/2023125 | |
Published online | 13 November 2023 |
The probabilistic Harsanyi power solutions for probabilistic graph games
1
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: mengfanyongtjie@163.com
Received:
13
September
2022
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.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.