TUvalues - Tools for Calculating Allocations in Game Theory using Exact and
Approximated Methods
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.
