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E14-302_AlvarezMozos.pdf (621.19 KB)

Tipus de document

Document de treball

Data de publicació

2014

Llicència de publicació

cc-by-nc-nd, (c) Álvarez-Mozos et al., 2014
Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/52838

The Banzhaf Value in the Presence of Externalities [WP]

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Resum

[eng] 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 amalgamation of players. Second, as this collusion transformation fails to be meaningful 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 closed.

Matèries

Teoria de jocs, Teoria de l'estimació, Jocs cooperatius (Matemàtica), Presa de decisions (Estadística), Ciències socials

Matèries (anglès)

Game theory, Estimation theory, Cooperative games (Mathematics), Statistical decision, Social sciences

Citació

Col·leccions

UB Economics – Working Papers [ERE]
Documents de treball (Matemàtica Econòmica, Financera i Actuarial)

Citació

ÁLVAREZ-MOZOS, Mikel and TEJADA, Oriol. The Banzhaf Value in the Presence of Externalities [WP]. UB Economics – Working Papers. 2014. Vol.  E14/302. ISSN 1136-8365. [consulted: 3 of August of 2026]. Available at: https://hdl.handle.net/2445/52838

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