By P.P. Wakker
`This publication represents a truly actual and critical contribution to the math of determination idea.
The distinguishing characteristic of Wakker's method is that he has little need of a reference experiment.
There are additional effects aplenty and lots more and plenty for the choice theorist to think about. those effects also will support psychologists, economists and others formulate and attempt versions of decision-making behaviour.
by way of any criteria its book is a landmark ... first-class survey and precis of the literature on additive choice versions. each one web page represents the distillation of a lot inspiration. accordingly, it's a ebook that rewards studying and rereading. Wakker's effects and techniques of evidence will enlighten learn into choice conception for lots of years.'
British magazine of Mathematical and Statistical Psychology, forty three, 1990
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Extra resources for Additive Representations of Preferences: A New Foundation of Decision Analysis
Indeed, what the car looks like may be described in nonquantitative terms. In applications, one of the central matters is to find an appropriate list of properties, to be indexed by Irfl, The list should be large enough to contain all relevant aspects of the alternatives, and small enough to be tractable. Also, in our set-up, each property should have meaning on its own. If in the above example it were impossible to give a meaningful description of xs, what the car looks like, independent of maximum speed, price, and fuel consumption, then the list of indexed properties used above would not be well-suited for our purposes.
8). Hence a motivation for the derivation in this book is in order. Some derivations, such as in Keeney&Raiffa(I976), or French(I986, Chapter 4), are easily accessible and appealing, but do not elaborate details (mainly topological details). Or derivations require a study of results from advanced mathematical theories, such as web theory in Debreu(1960), functional equations in Katzner(I970) and Blackorby,Primont& Russell(1978, elaborating Gorman,1968), group theory in KLST and Fuhrken&Richter (1988), or the theory of mean groupoids as in Vind(1986a).
Additive Representations of Preferences: A New Foundation of Decision Analysis by P.P. Wakker