Klicka på en bild för att gå till Google Book Search.
Laddar... Chaotic Elections! A Mathematician Looks at Voting (utgåvan 2001)av Donald G. Saari
VerksinformationChaotic Elections! A Mathematician Looks at Voting av Donald G. Saari
Ingen/inga Laddar...
Gå med i LibraryThing för att få reda på om du skulle tycka om den här boken. Det finns inga diskussioner på LibraryThing om den här boken. Of the two expository books by Saari on the mathematics of voting systems, this is clearly the more mathematically oriented , although it is not exactly a mathematical text, containing no proofs of the stated theorems but only ilustrative exemples and very clear explanations. Saari also refers the reader to the most relevant contributions in the technical literature, including his very many papers and his excelent mathematical monograph Basic Geometry of Voting. Being a kind of middle of the road text between the Social Sciences and the Mathematical communities, this book can leave some people unsatisfied, not exploring in depth neither of the fields. For me, I found it very interesting and a useful stepping stone between Saari's book Decisions and Elections and his mathematical papers and monograph that every serious student of the field must sooner or later plunge into. inga recensioner | lägg till en recension
What does the 2000 U.S. presidential election have in common with selecting a textbook for a calculus course in your department? Was Ralph Nader's influence on the election of George W. Bush greater than the now-famous chads? This expository book shows how mathematics can help to identify and characterize a disturbingly large number of paradoxical situations that result from the choice of a voting procedure. Saari's book should be required reading for anyone who wants to understand not only what happened in the presidential election of 2000, but also how we can avoid similar problems from appearing anytime any group is making a choice using a voting procedure. Inga biblioteksbeskrivningar kunde hittas. |
Pågående diskussionerIngen/inga
Google Books — Laddar... GenrerMelvil Decimal System (DDC)324.9Social sciences Political Science The political process Biography And HistoryKlassifikation enligt LCBetygMedelbetyg:
Är det här du? |
This book is easily read by the general reader, but also contains a fair amount of math. Although probably not as rigorous as a textbook might be, there are 13 theorems (all citing a more rigorous book or journal article for more detail). Due to either lack of educational background or lack of sufficient motivation, I was unable to follow some of the denser mathematical sections. However, the book is well written, so it is usually possible to understand the general idea, even when the math is somewhat glossed over. The only section where this was a problem for me was when the author claimed that the Borda Count may be an exception to Arrow's Theorem, if certain conditions are slightly relaxed. This is interesting and significant feature of the Borda Count. I trust that it is true, but would need to spend a lot more time carefully not glossing over the mathematics in order to understand the effect of the modified conditions.
My only criticism of this book is the organization is sometimes hard to follow, and chapter titles don't help very much. Topics are mentioned early, a question may be posed, and then the reader is told that it will be considered in detail later. However, I still recommended the book to anyone interested in this subject. ( )