Set Functions, Games and Capacities in Decision Making

Set Functions, Games and Capacities in Decision Making
Set Functions, Games and Capacities in Decision Making
Springer | Economic Theory | July 22 2016 | ISBN-10: 331930688X | 435 pages | pdf | 5.52 mb

Authors: Grabisch, Michel
​Presents a unique and up-to-date compilation of results for set functions, games, capacities and integrals
Puts theories of uncertainty into perspective
Offers three fundamental chapters which allow for widest dissemination in applied fields

The book provides a thorough treatment of set functions, games and capacities as well as integrals with respect to capacities and games, in a mathematical rigorous presentation and in view of application to decision making. After a short chapter introducing some required basic knowledge (linear programming, polyhedra, ordered sets) and notation, the first part of the book consists of three long chapters developing the mathematical aspects. This part is not related to a particular application field and, by its neutral mathematical style, is useful to the widest audience. It gathers many results and notions which are scattered in the literature of various domains (game theory, decision, combinatorial optimization and operations research). The second part consists of three chapters, applying the previous notions in decision making and modelling: decision under uncertainty, decision with multiple criteria, possibility theory and Dempster-Shafer theory.

Number of Illustrations and Tables
25 b/w illustrations, 25 illustrations in colour
Game Theory
Game Theory, Economics, Social and Behav. Sciences
Operation Research/Decision Theory
Operations Research, Mathematical Programming
Computer Appl. in Social and Behavioral Sciences


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