Tools for Calculating Allocations in Game Theory using Exact and
Approximated Methods
Description
The main objective of cooperative Transferable-Utility games (TU-games)
is to allocate a good among the agents involved. The package implements major
solution concepts including the Shapley value, Banzhaf value, and egalitarian
rules, alongside their extensions for structured games:
the Owen value and Banzhaf-Owen value for games with a priori unions, and the
Myerson value for communication games on networks. To address the inherent exponential
computational complexity of exact evaluation, the package offers both exact
algorithms and linear approximation methods based on sampling, enabling the
analysis of large-scale games. Additionally, it supports core set-based
solutions, allowing computation of the vertices and the centroid of the core.