banzhaf_owen_appro

Calculate the approximated Banzhaf-Owen value

The main objective of cooperative games is to allocate a good among
the agents involved. This package includes the most well-known   allocation
rules, i.e., the Shapley value, the Banzhaf value, the egalitarian rule, and
the equal surplus division value. In addition, it considers the point of view
of a priori unions (situations in which agents can form coalitions). For this
purpose, the package includes the Owen value, the Banzhaf-Owen value, and the
corresponding extensions of the egalitarian rules. All these values can be
calculated exactly or estimated by sampling.

Maria D. Guillen

TUvalues

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

Juan Carlos Gonçalves

banzhaf_owen_appro function

<dl><dt>characteristic_func</dt>
<dd>The valued function defined on the subsets of the number
of players</dd>
<dt>union</dt>
<dd>List of vectors indicating the a priori unions between the
players</dd>
<dt>n_players</dt>
<dd>The number of players</dd>
<dt>n_rep</dt>
<dd>Only used if <code>method</code> is <code>appro</code>. The number of
iterations to perform in the approximated calculation.</dd>
<dt>replace</dt>
<dd>should sampling be with replacement?</dd></dl>

Arguments

Banzhaf-Owen Value — banzhaf_owen_appro

<dl>

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


<dt>union</dt>
<dd>List of vectors indicating the a priori unions between the
players</dd>


<dt>n_players</dt>
<dd>The number of players</dd>


<dt>n_rep</dt>
<dd>Only used if <code>method</code> is <code>appro</code>. The number of
iterations to perform in the approximated calculation.</dd>


<dt>replace</dt>
<dd>should sampling be with replacement?</dd>

</dl>

banzhaf_owen_appro: Banzhaf-Owen Value

Description

Usage

Value

Arguments