Second-order productivity, second-order payoffs, and the Banzhaf value

André Casajus and Rodrigue Tido Takeng
Additional contact information
André Casajus: HHL - Handelshochschule Leipzig - Graduate School of Management
Rodrigue Tido Takeng: UNICAEN - Université de Caen Normandie - NU - Normandie Université, CREM - Centre de recherche en économie et management - UNICAEN - Université de Caen Normandie - NU - Normandie Université - UR - Université de Rennes - CNRS - Centre National de la Recherche Scientifique

Post-Print from HAL

Abstract: First, we suggest and discuss second-order versions of properties for solutions for TU games used to characterize the Banzhaf value, in particular, of standardness for two-player games, of the dummy player property, and of 2-efficiency. Then, we provide a number of characterizations of the Banzhaf value invoking the following properties: (i) [second-order standardness for two-player games or the second-order dummy player property] and 2-efficiency, (ii) standardness for one-player games, standardness for two-player games, and second-order 2-efficiency, (iii) standardness for one-player games, [second-order standardness for two-player games or the second-order dummy player property], and second-order 2-efficiency. These characterizations also work within the classes of simple games, of superadditive games, and of simple superadditive games.

Date: 2024
New Economics Papers: this item is included in nep-spo
Note: View the original document on HAL open archive server: https://hal.science/hal-04574752
References: Add references at CitEc
Citations:

Published in International Journal of Game Theory, 2024, ⟨10.1007/s00182-024-00893-4⟩

Downloads: (external link)
https://hal.science/hal-04574752/document (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-04574752

DOI: 10.1007/s00182-024-00893-4

Access Statistics for this paper

More papers in Post-Print from HAL
Bibliographic data for series maintained by CCSD ().