The Banzhaf value for generalized probabilistic communication situations
| Autor: | Erfang Shan, Jilei Shi |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
021103 operations research
Computer science 0211 other engineering and technologies Probabilistic logic General Decision Sciences 02 engineering and technology Function (mathematics) Management Science and Operations Research Characterization (mathematics) Graph Component (UML) Theory of computation Graph (abstract data type) Value (mathematics) Mathematical economics Axiom |
| Zdroj: | Annals of Operations Research. 301:225-244 |
| ISSN: | 1572-9338 0254-5330 |
| DOI: | 10.1007/s10479-020-03914-z |
| Popis: | In this paper we generalize the graph Banzhaf value, proposed by Alonso-Meijide and Fiestras-Janeiro (Naval Res Logist 53(3):198–203, 2006) in the deterministic communication situations, to the generalized probabilistic communication situations. This new value is called the probabilistic Banzhaf value. We provide two axiomatic characterizations of the value by the probabilistic versions of component total power, fairness and balanced contributions. Furthermore, we give an alternative characterization of the value by using the probabilistic player potential function. |
| Databáze: | OpenAIRE |
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