Mathematica Package: TuGames Version 3.1.4

TuGames is a Mathematica package to determine and to check some game properties of transferable utility games. It provides more than 200 different functions to calculate, for instance, (pre-)kernel elements, the (pre-)nucleolus, the modiclus, the modified and proper modified pre-kernel, the Shapley value, Lorenz solution, Dutta-Ray solution, excess payoffs, the tau-value, chi-value, Gately point, the vertices of a core, and much more. Moreover, it verifies if the game is convex, average-convex or superadditive 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 exclusively dedicated to Mathematica version 12.x and higher, because TUG-3.0.0 is the first version that is transcribed to the new collection of algorithms for solving convex problems introduced in version 12. For Mathematica versions smaller than 12.0 one should use TUG-2.6.2. This version remains compatible with the most recent Mathematica version as long as ConstrainedMax/ConstrainedMin and LinearProgramming/DualLinearProgramming are supported by Wolfram Research, otherwise one has to switch to TUG-3.0.0 or later. ... mehrIn this respect, the graphical features should run on all platforms. As a highlight, a fast algorithm to seek for a pre-kernel element is implemented in the updated package.