Additive Representations of Preferences: A New Foundation of by P.P. Wakker

By P.P. Wakker

`This e-book represents a truly actual and critical contribution to the math of choice thought.
The distinguishing function of Wakker's strategy is that he has no use of a reference experiment.
There are extra effects aplenty and masses for the choice theorist to give some thought to. those effects also will aid psychologists, economists and others formulate and try types of decision-making behaviour.
via any criteria its book is a landmark ... first-class survey and precis of the literature on additive choice types. every one web page represents the distillation of a lot inspiration. to that end, it's a publication that rewards interpreting and rereading. Wakker's effects and techniques of evidence will enlighten learn into determination thought for plenty of years.'
British magazine of Mathematical and Statistical Psychology, forty three, 1990

Show description

Read Online or Download Additive Representations of Preferences: A New Foundation of Decision Analysis PDF

Best operations research books

Factory Physics Second Edition

Finished advent to production administration textual content protecting the habit legislation at paintings in factories. Examines working guidelines and strategic goals. Hopp provides the ideas of producing methods and controls inside a "physics" or "laws of nature" analogy--a novel technique. there's sufficient quantitative fabric for an engineer's path, in addition to narrative administration significant can comprehend and follow.

Expert Systems for Scanner Data Environments: The Marketing Workbench Laboratory Experience

This ebook is ready the function of professional structures in advertising, fairly within the shopper items undefined. part I describes the altering nature of patron advertising and marketing and provides the explanation and want for professional structures. the rest of the ebook combines an academic on specialist platforms with a chain of specialist process prototypes.

Statistik und Ökonometrie für Wirtschaftswissenschaftler: Eine anwendungsorientierte Einführung

Das vorliegende Werk umfasst das gesamte statistische und ökonometrische Grundwissen, das für ein wirtschaftswissenschaftliches Studium benötigt wird. Verständlich und präzise werden an zahlreichen Beispielen die verschiedenen statistischen und ökonometrischen Herangehensweisen erklärt. Anhand verschiedenster Praxisfälle mit Musterlösungen und unter Einsatz der software program EViews und Excel werden die Inhalte greifbar, mittels zahlreicher Aufgaben wird die Anwendung des erlernten Wissens trainiert.

Additional info for Additive Representations of Preferences: A New Foundation of Decision Analysis

Sample text

It is now assumed that the decision maker has to deal with all three of these choice situations, and for instance he must choose between two 'possibilities'. The first is that he obtains b from D l , p from D2, p from D3. The second is that he obtains n from D l , p from D2, n from D3. Then the first possibility can be denoted as b :; p :; p, or b :; (2xp), the second as n :; p :; n, or (2xn) :; p. Here:; and x are formal operations. One sees that here not in each one of the choice situations D l , D2, Da, the decision maker is free to choose.

Also for m=1, xO E C{(Dlu ... uDm) u DO). uDmuDO), by IIA: xO E C{DO). 12rf16 . If 11 contains all two-and three-point subsets of X. or if 11 is union-closed. then the following four statements are equivalent: (i) There exists a representing weak order for C. (ii) C is congruent. (iii) C satisfies WARP. (iv) C satisfies IIA. If C{D) contains exactly one element for every D E 11. then the following three statements are equivalent: (v) (vi) (vii) There exists a representing weak order for C. C is congruent.

In this monograph we will follow a different approach. We shall. Suppes&Tversky(l97 I ) (hereafter abbreviated KLST). obtain an additive representation 'in one stroke'. As it turns out the structure and conditions. needed anyhow in the second stage above. are also of use in the first stage. In particular we will. like KLST. find with our one-stroke approach that the condition of topological separability. assumed by Debreu(l960. Theorem 3) and used by him in the first stage. 1). Hence the derivation of general representations without additivity-restriction will not receive much attention in this monograph.

Download PDF sample

Rated 4.71 of 5 – based on 25 votes

Categories: Operations Research