Mathematica 9 is now available

Wolfram Library Archive


All Collections Articles Books Conference Proceedings
Courseware Demos MathSource Technical Notes
Title Downloads

TuGames Version 2.2
Author

Holger Ingmar Meinhardt
Organization: University of Karlsruhe
Department: Institute for Statistics and Economic Theory
Revision date

2013-11-21
Description

TuGames is a Mathematica package to determine and to check some game properties of transferable utility games. It provides more than 100 different functions to calculate, for instance, (pre-)kernel elements, the (pre-)nucleolus, the Shapley value, excess payoffs, the tau-value, the vertices of a core, and much more. Moreover, it verifies if the game is convex, average-convex or super-additive just to mention some interesting game properties. It can be used in serial as well as in parallel mode, and in conjunction with MATLink to build up a Matlab connection to invoke the toolbox MatTuGames. This package is an upgrade of the package TuGames version 1.1 from the URL

http://library.wolfram.com/infocenter/MathSource/5709/

which is now exclusively dedicated to Mathematica 8.x and higher. In this respect, the graphical features should run on all platforms. As a highlight, a new and fast algorithm to seek for a pre-kernel element is implemented in the updated package. This algorithm is described in the book

The Pre-Kernel as a Tractable Solution for Cooperative Games An Exercise in Algorithmic Game Theory Series: Theory and Decision Library C, Vol. 45 Meinhardt, Holger Ingmar 2014, XXXIII, 242 p. 8 illus., 4 illus. in color http://www.springer.com/economics/game+theory/book/978-3-642-39548-2
Subject

*Applied Mathematics > Game Theory
Keywords

Cooperative Games, Transferable Utility Games, (Pre-)Kernel, (Pre-)Nucleolus, Shapley Value, Tau-Value, Convexity, Supermodular, Average-Convexity, Excess, Vertices of the Core, Balanced Collection.
URL

http://library.wolfram.com/infocenter/Books/3375/
Downloads

Download
TuGamesView3D.pdf (462.8 KB) - PDF Document
Download
README.20131211 (13.8 KB) - Unknown MIME type
Download
tugames-unix.tar.bz2 (1.4 MB) - Unknown MIME type
Download
tugames-v2.2.7z (1 MB) - Unknown MIME type
Download
tugames-win.zip (602.1 KB) - ZIP archive
Download
tugames.gif (14.6 KB) - GIF image