The Banzhaf value for generalized probabilistic communication situations

Jilei Shi () and Erfang Shan ()
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Jilei Shi: Shanghai University
Erfang Shan: Shanghai University

Annals of Operations Research, 2021, vol. 301, issue 1, No 14, 225-244

Abstract: Abstract 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.

Keywords: TU-game; Banzhaf value; Probabilistic communication situations; Graph Banzhaf value; 91A12; 91A43; 05C57 (search for similar items in EconPapers)
JEL-codes: C71 D60 (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10479-020-03914-z

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