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TuGames Version 2.4
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| Organization: | University of Karlsruhe |
| Department: | Institute for Statistics and Economic Theory |
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2016-07-04
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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
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Cooperative Games, Transferable Utility Games, (Pre-)Kernel, (Pre-)Nucleolus, Shapley Value, Tau-Value, Convexity, Supermodular, Average-Convexity, Excess, Vertices of the Core, Balanced Collection.
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http://library.wolfram.com/infocenter/Books/3375/
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| TuGamesView3D.pdf (462.8 KB) - PDF Document | | README.20131211 (13.8 KB) - Unknown MIME type | | tugames-unix.tar.bz2 (1.4 MB) - Unknown MIME type | | tugames-v2.4.7z (1.5 MB) - Unknown MIME type | | tugames-win.zip (602.1 KB) - ZIP archive | | tugames.gif (14.6 KB) - GIF image |
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