Vitality Indices are Equivalent to Induced Game-Theoretic Centralities
Authors: Oskar Skibski
IJCAI 2021 | Conference PDF | Archive PDF | Plain Text | LLM Run Details
| Reproducibility Variable | Result | LLM Response |
|---|---|---|
| Research Type | Theoretical | In this paper, we show that vitality indices can be characterized using the axiom of Balanced Contributions proposed by Myerson in the coalitional game theory literature. We explore the link between both fields and show an equivalence between vitality indices and induced game theoretic centralities based on the Shapley value. Our characterization allows us to easily determine which known centrality measures are vitality indices. |
| Researcher Affiliation | Academia | Oskar Skibski University of Warsaw oskar.skibski@mimuw.edu.pl |
| Pseudocode | No | The paper does not contain any pseudocode or clearly labeled algorithm blocks. |
| Open Source Code | No | The paper does not provide any statements about open-source code availability or links to code repositories. |
| Open Datasets | No | The paper is theoretical and does not use datasets, therefore no public dataset information is provided. |
| Dataset Splits | No | The paper is theoretical and does not describe experiments with dataset splits. |
| Hardware Specification | No | The paper is theoretical and does not mention any hardware specifications for running experiments. |
| Software Dependencies | No | The paper is theoretical and does not mention any software dependencies with specific version numbers. |
| Experiment Setup | No | The paper is theoretical and does not describe an experimental setup with hyperparameters or system-level training settings. |