Titlebook: Set Functions, Games and Capacities in Decision Making; Michel Grabisch Book 2016 Springer International Publishing Switzerland 2016 Capac

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知识

低三下四之人

Introduction, make the book self-contained. Section 1.2 gives useful results from combinatorics, some of them being quite standard while some others are specific, and most often proofs are provided. The rest of the chapter (Sect. 1.3) gives condensed summaries about binary relations, partially ordered sets, ineq

Legion

Set Functions, Capacities and Games,onsidered throughout the book, namely games (set functions vanishing on the empty set) and capacities (monotone games). In the main part of this chapter (Sects. 2.1– 2.18), we consider set functions defined on a nonempty finite set ., where the domain of set functions is the power set 2.. In Sect. 2

轻信

The Core and the Selectope of Games,subset, under the constraint that both coincide on the universal set? For normalized capacities, the problem amounts to finding probability measures dominating a given capacity, while in cooperative game theory, it amounts to the problem of sharing a cake so that no coalition of players is dissatisf

Glossy

阶层

Decision Under Risk and Uncertainty, von Neumann and Oskar Morgenstern, although the concepts of utility function and expected utility go back to Daniel Bernoulli and Blaise Pascal. The area of decision making which is addressed in this chapter is decision under risk and uncertainty. It deals with situations where the decision maker i

ANTE

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