Published April 17, 2017
| Version v1
Publication
Cooperative games under augmenting systems
Creators
Contributors
Description
The goal of this paper is to develop a theoretical framework inorder to analyze cooperative
games inwhic h only certaincoalition s are allowed to form. We will axiomatize the structure
of such allowable coalitions using the theory of antimatroids, a notion developed for combinatorially
abstract sets. There have been previous models developed to confront the problem of unallowable
coalitions. Games restricted by a communication graph were introduced by Myerson and Owen.
We introduce a new combinatorial structure called augmenting system, which is a generalization of
the antimatroid structure and the system of connected subgraphs of a graph. The main result of
the paper is a direct formula of Shapley and Banzhaf values for games under augmenting systems
restrictions.
Additional details
Identifiers
- URL
- https://idus.us.es/handle/11441/57577
- URN
- urn:oai:idus.us.es:11441/57577