The publication offers a radical remedy of set features, video games and capacities in addition to integrals with admire to capacities and video games, in a mathematical rigorous presentation and in view of software to determination making. After a quick bankruptcy introducing a few required uncomplicated wisdom (linear programming, polyhedra, ordered units) and notation, the 1st a part of the publication involves 3 lengthy chapters constructing the mathematical features. This half isn't on the topic of a selected software box and, by means of its impartial mathematical type, turns out to be useful to the widest audience. It gathers many effects and notions that are scattered within the literature of varied domain names (game concept, choice, combinatorial optimization and operations research). the second one half includes 3 chapters, using the former notions in choice making and modelling: selection less than uncertainty, determination with a number of standards, risk conception and Dempster-Shafer idea.
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