Notice: The reproducibility variables underlying each score are classified using an automated LLM-based pipeline, validated against a manually labeled dataset. LLM-based classification introduces uncertainty and potential bias; scores should be interpreted as estimates. Full accuracy metrics and methodology are described in [1].
Axiomatic Characterization of Game-Theoretic Centrality
Authors: Oskar Skibski, Tomasz P. Michalak, Talal Rahwan
JAIR 2018 | Venue PDF | LLM Run Details
| Reproducibility Variable | Result | LLM Response |
|---|---|---|
| Research Type | Theoretical | In this article, we attempt to answer this question by providing the first axiomatic characterization of game-theoretic centralities. Specifically, we show that every possible centrality measure can be obtained following the game-theoretic approach. Furthermore, we study three natural classes of game-theoretic centrality, and prove that they can be characterized by certain intuitive properties pertaining to the well-known notion of Fairness due to Myerson. |
| Researcher Affiliation | Academia | Oskar Skibski EMAIL Institute of Informatics, University of Warsaw 02-097 Warsaw, Poland Tomasz P. Michalak EMAIL Institute of Informatics, University of Warsaw 02-097 Warsaw, Poland Talal Rahwan EMAIL Department of Computer Science Masdar Institute, Khalifa University Abu Dhabi, United Arab Emirates |
| Pseudocode | No | The paper focuses on theoretical analysis, definitions, theorems, and proofs. It does not include any pseudocode or clearly labeled algorithm blocks. |
| Open Source Code | No | The paper does not provide any explicit statement about making source code available, nor does it include links to repositories or mention code in supplementary materials for the methodology described in this work. It references "www.game-theoretic-centrality.com" in Section 2.1.2, but this refers to related literature and not the code for the current paper. |
| Open Datasets | No | This paper presents a theoretical axiomatic characterization of game-theoretic centralities and does not conduct empirical experiments using datasets. Therefore, no information about open or publicly available datasets is provided. |
| Dataset Splits | No | This paper is theoretical and does not involve experiments with datasets, thus no information regarding training/test/validation splits is provided. |
| Hardware Specification | No | The paper focuses on theoretical contributions and does not describe any experimental setup or hardware used for running experiments. |
| Software Dependencies | No | The paper is theoretical and focuses on mathematical proofs and axiomatic characterization. It does not describe any specific software implementations or dependencies with version numbers for experimental reproducibility. |
| Experiment Setup | No | This paper is purely theoretical, providing an axiomatic characterization of game-theoretic centralities. It does not describe any experimental setup, hyperparameters, or training configurations. |