shapley

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

shapley function

<dl><dt>characteristic_func</dt>
<dd>The valued function defined on the subsets of the number
of players.</dd>
<dt>method</dt>
<dd>Method used to calculate the Shapley value. Valid methods are:
<code>exact</code> for the exact calculation or <code>appro</code> for approximated polynomial
calculation based on sampling.</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>n_players</dt>
<dd>Only used if <code>characteristic_func</code> is a <code>function</code>.
The number of players in the game.</dd></dl>

Arguments

Shapley value — shapley

<dl>

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


<dt>method</dt>
<dd>Method used to calculate the Shapley value. Valid methods are:
<code>exact</code> for the exact calculation or <code>appro</code> for approximated polynomial
calculation based on sampling.</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>n_players</dt>
<dd>Only used if <code>characteristic_func</code> is a <code>function</code>.
The number of players in the game.</dd>

</dl>

shapley: Shapley value

Description

Usage

Value

Arguments

Examples