Del 0 - Studies in Economic Theory

Independence, Additivity, Uncertainty

Inbunden, Engelska, 2002

1 439 kr

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This book deals with the important economic problem of uncertainty. The first attempt was to simplify and unify some results usually taught in courses in mathematical economics. The economic interpretation of the results was representations of preferences as sums or integrals and the decomposition of preferences into utilities and probabilities. The book contains all the classical results, but the main justification of the book is that the approach taken in the earlier versions was also the proper approach in generalizing from preferences, which were total preorders to preferences, which were not total or transitive. The same mathematics gives representations which are additive. It also gives decompositions where concepts of utility, probability, and uncertainty appeared. These results are new and give a solution to how uncertainty can be formalized.

Produktinformation

Utgivningsdatum2002-11-13
Mått155 x 235 x 22 mm
Vikt610 g
FormatInbunden
SpråkEngelska
SerieStudies in Economic Theory
Antal sidor277
Upplaga2003
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783540416838

Tillhör följande kategorier

Nationalekonomi inom Ekonomi och Ledarskap

1 Introduction.- 1.1 Economics.- 1.2 Statistics.- 1.3 Mathematic.- 1.4 Summary of results.- 1.5 Applications.- I Basic Mathematics.- 2 Totally preordered sets.- 3 Preferences and preference functions.- 4 Totally preordered product sets.- 5 A subset of a product set.- 6 Mean groupoids.- 7 Products of two sets as a mean groupoid.- II Relations on Function Spaces.- 8 Totally preordered function spaces.- 9 Relations on function spaces.- III Relations on Measures.- 10 Relations on sets of probability measures.- IV Integral Representations.- 11 A general integral representation by Birgit Grodal.- 12 Special integral representations by Birgit Grodal.- V Decompositions and Uncertainty.- 13 Decompositions. Uncertainty.- 14 Uncertainty on products.- 15 Conditional uncertainty.- VI Applications.- 16 Production, utility, preference.- 17 Preferences over time.- 18 A foundation for statistics.- References.

From the reviews of the first edition: "The most important contribution of this book is to formalize, simplify and unify concepts of uncertainity that occur in mathematical economics. ... This well-written book provides an elegant and serious introduction to the basic concepts and results of representations of preferences as sums and integrals. It discusses in detail the decomposition of preferences into utilities and probabilities. This lively presentation ... is impressive. The book will serve as an inspiration for further research and can be recommended ... ." (P.R. Parthasarathy, Zentralblatt MATH, Vol. 1080, 2006)