| Description |
1 online resource (xi, 176 pages). |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Outlooks
|
|
Outlooks.
|
| Note |
"Mathematical Association of America." |
| Bibliography |
Includes bibliographical references (pages 167-171) and index. |
| Summary |
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. |
| Contents |
Cover; Half-Title; Series-Title; Title; Copyright; Contents; Preface; Part One; Part Two; Part Three; References; Index. |
| Access |
Access restricted to York University faculty, staff and students. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Voting -- Mathematical models.
|
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Voting -- Mathematical models. |
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Voting. |
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Social choice -- Mathematical models.
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Social choice -- Mathematical models. |
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Political science -- Mathematical models.
|
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Political science -- Mathematical models. |
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Game theory.
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Game theory. |
| Genre/Form |
Electronic books.
|
| Added Author |
Mathematical Association of America.
|
| Other Form: |
Print version: Taylor, Alan D., 1947- Social choice and the mathematics of manipulation. Cambridge ; New York : Cambridge University Press, 2005 0521810523 0521008832 (DLC) 2004054521 (OCoLC)55878011 |
| ISBN |
0511115385 (electronic book) |
|
9780511115387 (electronic book) |
|
9780511114830 |
|
0511114834 |
|
9780511614316 (electronic book) |
|
0511614314 (electronic book) |
|
1280449470 |
|
9781280449475 |
|
0521008832 (Paper) |
|
0521810523 (Cloth) |
| Report No. |
MYILIB_CUp |
|
