core_appro

Calculate the vertices of the core of the game following
Camacho et al. (2025)

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.

Maria D. Guillen

TUvalues

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

Juan Carlos Gonçalves

core_appro function

<dl><dt>characteristic_func</dt>
<dd>The valued function defined on the subsets of the number
of players.</dd>
<dt>n_players</dt>
<dd>Only used if <code>characteristic_func</code> is a <code>function</code>.
The number of players in the game.</dd>
<dt>n_rep</dt>
<dd>The number of iterations to perform in the algorithm.</dd>
<dt>echo</dt>
<dd>Only used if <code>method</code> is <code>appro</code>. Show progress of the
approximated calculation.</dd></dl>

Arguments

Approximated core of the game — core_appro

<dl>

<dt>characteristic_func</dt>
<dd>The valued function defined on the subsets of the number
of players.</dd>


<dt>n_players</dt>
<dd>Only used if <code>characteristic_func</code> is a <code>function</code>.
The number of players in the game.</dd>


<dt>n_rep</dt>
<dd>The number of iterations to perform in the algorithm.</dd>


<dt>echo</dt>
<dd>Only used if <code>method</code> is <code>appro</code>. Show progress of the
approximated calculation.</dd>

</dl>

core_appro: Approximated core of the game

Description

Usage

Value

Arguments

References