utopiapayoffsvector

This function computes the utopia payoffs vector of a game.

Cooperative game theory models decision-making situations in
which a group of agents, called players, may achieve certain benefits
by cooperating to reach an optimal outcome. It has great potential in
different fields, since it offers a scenario to analyze and solve
problems in which cooperation is essential to achieve a common goal.
The 'TUGLab' (Transferable Utility Games Laboratory) R package
contains a set of scripts that could serve as a helpful complement to
the books and other materials used in courses on cooperative game
theory, and also as a practical tool for researchers working in this
field. The 'TUGLab' project was born in 2006 trying to highlight the
geometrical aspects of the theory of cooperative games for 3 and 4
players. 'TUGlabWeb' is an online platform on which the basic
functions of 'TUGLab' are implemented, and it is being used all over
the world as a resource in degree, master's and doctoral programs.
This package is an extension of the first versions and enables users
to work with games in general (computational restrictions aside). The
user can check properties of games, compute well-known games and
calculate several set-valued and single-valued solutions such as the
core, the Shapley value, the nucleolus or the core-center. The package
also illustrates how the Shapley value flexibly adapts to various
cooperative game settings, including weighted players and coalitions,
a priori unions, and restricted communication structures. In keeping
with the original philosophy of the first versions, special emphasis
is placed on the graphical representation of the solution concepts for
3 and 4 players.

Álvaro de Prado Saborido

TUGLab

A Laboratory for TU Games

Alejandro Bernárdez Ferradás

Miguel Ángel Mirás Calvo

Iago Núñez Lugilde

Carmen Quinteiro Sandomingo

Estela Sánchez Rodríguez

MCIN/AEI/10.13039/501100011033 

utopiapayoffsvector function

<dl><dt>v</dt>
<dd>A characteristic function, as a vector.</dd>
<dt>binary</dt>
<dd>A logical value. By default, <code>binary=FALSE</code>. Should be set to <code>TRUE</code> if <code>v</code> is introduced in binary order instead of lexicographic order.</dd></dl>

Arguments

Utopia payoffs vector — utopiapayoffsvector

<dl>

<dt>v</dt>
<dd>A characteristic function, as a vector.</dd>


<dt>binary</dt>
<dd>A logical value. By default, <code>binary=FALSE</code>. Should be set to <code>TRUE</code> if <code>v</code> is introduced in binary order instead of lexicographic order.</dd>

</dl>

utopiapayoffsvector: Utopia payoffs vector

Description

Usage

Value

Arguments

Details

See Also

Examples