Independence, Additivity, Uncertainty:
The work on this book started many years ago as an attempt to simplify and unify some results usually taught in courses in mathematical economics. The economic interpretation of the re sults were representations of preferences as sums or integrals and the decomposition of preferences into utilities...
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| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2003
|
| Ausgabe: | 1st ed. 2003 |
| Schriftenreihe: | Studies in Economic Theory
14 |
| Schlagworte: | |
| Online-Zugang: | BTU01 URL des Erstveröffentlichers |
| Zusammenfassung: | The work on this book started many years ago as an attempt to simplify and unify some results usually taught in courses in mathematical economics. The economic interpretation of the re sults were representations of preferences as sums or integrals and the decomposition of preferences into utilities and probabilities. It later turned out that t.he approach taken in the earlier versions were also the proper approach in generalizing from preferences which were total preorders to preferences which were not total or tran sitive. The same mathematics would even in that situation give representations which were additive. It would also give decomposi tions where concepts of uncertainty appeared. Early versions of some of the results appeared as Working Pa pers No. 135, 140, 150, and 176 from The Center for Research in Management Science, Berkeley. A first version of chapters 2, 4, 6, 7, and 8 appeared 1969 with the title" Mean Groupoids" [177]. They are essentially unchanged -except for some notes especially in chapter 6. Another version appeared 1990 as [178]. Chapter 10 contains results from the same versions and from [181]. Chapter 11 by Birgit Grodal is based on [91] by Grodal and Jp,an-Francois Mertens. Chapters 11 and 12 - also by Birgit Gro dal -contains the results from the earlier versions, but have been extended (by Karl Vind) to take into account the new corollaries of the results in the other chapters |
| Beschreibung: | 1 Online-Ressource (XIII, 277 p) |
| ISBN: | 9783540247579 |
| DOI: | 10.1007/978-3-540-24757-9 |
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Datensatz im Suchindex
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| dewey-search | 330.1 |
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| discipline | Wirtschaftswissenschaften |
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| edition | 1st ed. 2003 |
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| indexdate | 2024-07-10T08:56:11Z |
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| isbn | 9783540247579 |
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| spelling | Vind, Karl Verfasser aut Independence, Additivity, Uncertainty by Karl Vind With contributions by B. Grodal 1st ed. 2003 Berlin, Heidelberg Springer Berlin Heidelberg 2003 1 Online-Ressource (XIII, 277 p) txt rdacontent c rdamedia cr rdacarrier Studies in Economic Theory 14 The work on this book started many years ago as an attempt to simplify and unify some results usually taught in courses in mathematical economics. The economic interpretation of the re sults were representations of preferences as sums or integrals and the decomposition of preferences into utilities and probabilities. It later turned out that t.he approach taken in the earlier versions were also the proper approach in generalizing from preferences which were total preorders to preferences which were not total or tran sitive. The same mathematics would even in that situation give representations which were additive. It would also give decomposi tions where concepts of uncertainty appeared. Early versions of some of the results appeared as Working Pa pers No. 135, 140, 150, and 176 from The Center for Research in Management Science, Berkeley. A first version of chapters 2, 4, 6, 7, and 8 appeared 1969 with the title" Mean Groupoids" [177]. They are essentially unchanged -except for some notes especially in chapter 6. Another version appeared 1990 as [178]. Chapter 10 contains results from the same versions and from [181]. Chapter 11 by Birgit Grodal is based on [91] by Grodal and Jp,an-Francois Mertens. Chapters 11 and 12 - also by Birgit Gro dal -contains the results from the earlier versions, but have been extended (by Karl Vind) to take into account the new corollaries of the results in the other chapters Economic Theory/Quantitative Economics/Mathematical Methods Computational Mathematics and Numerical Analysis Statistics for Business, Management, Economics, Finance, Insurance Economic theory Computer mathematics Statistics Erwarteter Nutzen (DE-588)4152928-5 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Präferenzrelation (DE-588)4197168-1 gnd rswk-swf Entscheidung bei Unsicherheit (DE-588)4070864-0 gnd rswk-swf Entscheidung bei Unsicherheit (DE-588)4070864-0 s Erwarteter Nutzen (DE-588)4152928-5 s Präferenzrelation (DE-588)4197168-1 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Erscheint auch als Druck-Ausgabe 9783642421204 Erscheint auch als Druck-Ausgabe 9783540416838 Erscheint auch als Druck-Ausgabe 9783642534508 https://doi.org/10.1007/978-3-540-24757-9 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Vind, Karl Independence, Additivity, Uncertainty Economic Theory/Quantitative Economics/Mathematical Methods Computational Mathematics and Numerical Analysis Statistics for Business, Management, Economics, Finance, Insurance Economic theory Computer mathematics Statistics Erwarteter Nutzen (DE-588)4152928-5 gnd Mathematisches Modell (DE-588)4114528-8 gnd Präferenzrelation (DE-588)4197168-1 gnd Entscheidung bei Unsicherheit (DE-588)4070864-0 gnd |
| subject_GND | (DE-588)4152928-5 (DE-588)4114528-8 (DE-588)4197168-1 (DE-588)4070864-0 |
| title | Independence, Additivity, Uncertainty |
| title_alt | With contributions by B. Grodal |
| title_auth | Independence, Additivity, Uncertainty |
| title_exact_search | Independence, Additivity, Uncertainty |
| title_exact_search_txtP | Independence, Additivity, Uncertainty |
| title_full | Independence, Additivity, Uncertainty by Karl Vind |
| title_fullStr | Independence, Additivity, Uncertainty by Karl Vind |
| title_full_unstemmed | Independence, Additivity, Uncertainty by Karl Vind |
| title_short | Independence, Additivity, Uncertainty |
| title_sort | independence additivity uncertainty |
| topic | Economic Theory/Quantitative Economics/Mathematical Methods Computational Mathematics and Numerical Analysis Statistics for Business, Management, Economics, Finance, Insurance Economic theory Computer mathematics Statistics Erwarteter Nutzen (DE-588)4152928-5 gnd Mathematisches Modell (DE-588)4114528-8 gnd Präferenzrelation (DE-588)4197168-1 gnd Entscheidung bei Unsicherheit (DE-588)4070864-0 gnd |
| topic_facet | Economic Theory/Quantitative Economics/Mathematical Methods Computational Mathematics and Numerical Analysis Statistics for Business, Management, Economics, Finance, Insurance Economic theory Computer mathematics Statistics Erwarteter Nutzen Mathematisches Modell Präferenzrelation Entscheidung bei Unsicherheit |
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