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The Banzhaf Value in the Presence of Externalities

Mikel Álvarez-Mozos and Oriol Tejada Pinyol ()
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Oriol Tejada Pinyol: CER-ETH, ETH Zurich, https://sites.google.com/site/orioltejada/

No 2014/302, UB Economics Working Papers from Universitat de Barcelona, Facultat d'Economia i Empresa, UB School of Economics

Abstract: We propose two generalizations of the Banzhaf value for partition function form games. In both cases, our approach is based on probability distributions over the set of possible coalition structures that may arise for any given set of agents. First, we introduce a family of values, one for each collection of the latter probability distributions, defined as the Banzhaf value of an expected coalitional game. Then, we provide two characterization results for this new family of values within the framework of all partition function games. Both results rely on a property of neutrality with respect to am algamation of players. Second, as this collusion transformation fails to be meanin gful for simple games in partition function form, we propose another generalization of the Banzhaf value which also builds on probability distributions of the above type. This latter family is characterized by means of a neutrality property which uses an amalgamation transformation of players for which simple games are close

Keywords: Banzhaf value; Externalities; Games in partition function form; Simplegames. (search for similar items in EconPapers)
JEL-codes: C71 (search for similar items in EconPapers)
Pages: 20 pages
Date: 2014
New Economics Papers: this item is included in nep-gth
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Journal Article: The Banzhaf value in the presence of externalities (2015) Downloads
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