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|a Taylor, Alan D.,
|d 1947-
|
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1 |
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|a Social choice and the mathematics of manipulation /
|c Alan D. Taylor.
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260 |
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|a Cambridge ;
|a New York :
|b Cambridge University Press,
|c 2005.
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300 |
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|a 1 online resource (xi, 176 pages)
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336 |
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|a online resource
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490 |
1 |
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|a Outlooks
|
500 |
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|a "Mathematical Association of America."
|
504 |
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|a Includes bibliographical references (pages 167-171) and index.
|
588 |
0 |
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|a Print version record.
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520 |
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|a Honesty in voting, it turns out, is not always the best policy. Indeed, in the early 1970s, Allan Gibbard and Mark Satterthwaite, building on the seminal work of Nobel laureate Kenneth Arrow, proved that with three or more alternatives there is no reasonable voting system that is non-manipulable; voters will always have an opportunity to benefit by submitting a disingenuous ballot. The ensuing decades produced a number of theorems of striking mathematical naturality that dealt with the manipulability of voting systems. This book presents many of these results from the last quarter of the twentieth century, especially the contributions of economists and philosophers, from a mathematical point of view, with many new proofs. The presentation is almost completely self-contained, and requires no prerequisites except a willingness to follow rigorous mathematical arguments. Mathematics students, as well as mathematicians, political scientists, economists and philosophers will learn why it is impossible to devise a completely unmanipulable voting system.
|
505 |
0 |
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|a Cover; Half-Title; Series-Title; Title; Copyright; Contents; Preface; Part One; Part Two; Part Three; References; Index.
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546 |
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|a English.
|
590 |
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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
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650 |
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0 |
|a Voting
|x Mathematical models.
|
650 |
|
0 |
|a Social choice
|x Mathematical models.
|
650 |
|
0 |
|a Political science
|x Mathematical models.
|
650 |
|
0 |
|a Game theory.
|
650 |
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2 |
|a Game Theory
|
650 |
|
6 |
|a Vote
|x Modèles mathématiques.
|
650 |
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6 |
|a Choix collectif
|x Modèles mathématiques.
|
650 |
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6 |
|a Science politique
|x Modèles mathématiques.
|
650 |
|
6 |
|a Théorie des jeux.
|
650 |
|
7 |
|a POLITICAL SCIENCE
|x Political Process
|x Elections.
|2 bisacsh
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650 |
|
7 |
|a Game theory
|2 fast
|
650 |
|
7 |
|a Political science
|x Mathematical models
|2 fast
|
650 |
|
7 |
|a Social choice
|x Mathematical models
|2 fast
|
650 |
|
7 |
|a Voting
|x Mathematical models
|2 fast
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650 |
1 |
7 |
|a Verkiezingen.
|2 gtt
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1 |
7 |
|a Kiesgedrag.
|2 gtt
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650 |
1 |
7 |
|a Strategische aspecten.
|2 gtt
|
650 |
1 |
7 |
|a Social choice.
|2 gtt
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650 |
1 |
7 |
|a Wiskundige modellen.
|2 gtt
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1 |
7 |
|a Speltheorie.
|2 gtt
|
710 |
2 |
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|a Mathematical Association of America.
|
776 |
0 |
8 |
|i Print version:
|a Taylor, Alan D., 1947-
|t Social choice and the mathematics of manipulation.
|d Cambridge ; New York : Cambridge University Press, 2005
|z 0521810523
|z 0521008832
|w (DLC) 2004054521
|w (OCoLC)55878011
|
830 |
|
0 |
|a Outlooks.
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856 |
4 |
0 |
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