Social choice and the mathematics of manipulation /:
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; vo...
Gespeichert in:
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
2005.
|
| Schriftenreihe: | Outlooks.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | "Mathematical Association of America." |
| Beschreibung: | 1 online resource (xi, 176 pages) |
| Bibliographie: | Includes bibliographical references (pages 167-171) and index. |
| ISBN: | 0511115385 9780511115387 9780511114830 0511114834 9780511614316 0511614314 1280449470 9781280449475 1107132363 9781107132368 0511197217 9780511197215 0511298587 9780511298585 9780521810524 0521810523 9780521008839 0521008832 |
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| 520 | |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. | ||
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| 650 | 6 | |a Choix collectif |x Modèles mathématiques. | |
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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. 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| indexdate | 2024-10-25T16:16:25Z |
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| language | English |
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| owner | MAIN |
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| physical | 1 online resource (xi, 176 pages) |
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| spelling | Taylor, Alan D., 1947- https://id.oclc.org/worldcat/entity/E39PBJhmFWhv6hPR9kH3kWkdQq http://id.loc.gov/authorities/names/n94079765 Social choice and the mathematics of manipulation / Alan D. Taylor. Cambridge ; New York : Cambridge University Press, 2005. 1 online resource (xi, 176 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Outlooks "Mathematical Association of America." Includes bibliographical references (pages 167-171) and index. Print version record. 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. Cover; Half-Title; Series-Title; Title; Copyright; Contents; Preface; Part One; Part Two; Part Three; References; Index. English. Voting Mathematical models. Social choice Mathematical models. Political science Mathematical models. Game theory. http://id.loc.gov/authorities/subjects/sh85052941 Game Theory https://id.nlm.nih.gov/mesh/D005716 Vote Modèles mathématiques. Choix collectif Modèles mathématiques. Science politique Modèles mathématiques. Théorie des jeux. POLITICAL SCIENCE Political Process Elections. bisacsh Game theory fast Political science Mathematical models fast Social choice Mathematical models fast Voting Mathematical models fast Verkiezingen. gtt Kiesgedrag. gtt Strategische aspecten. gtt Social choice. gtt Wiskundige modellen. gtt Speltheorie. gtt Mathematical Association of America. http://id.loc.gov/authorities/names/n79105844 has work: Social choice and the mathematics of manipulation (Text) https://id.oclc.org/worldcat/entity/E39PCGPYJBFcYqjCHCtDFVhwkC https://id.oclc.org/worldcat/ontology/hasWork 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 Outlooks. http://id.loc.gov/authorities/names/n00002246 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=132322 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=132322 Volltext |
| spellingShingle | Taylor, Alan D., 1947- Social choice and the mathematics of manipulation / Outlooks. Cover; Half-Title; Series-Title; Title; Copyright; Contents; Preface; Part One; Part Two; Part Three; References; Index. Voting Mathematical models. Social choice Mathematical models. Political science Mathematical models. Game theory. http://id.loc.gov/authorities/subjects/sh85052941 Game Theory https://id.nlm.nih.gov/mesh/D005716 Vote Modèles mathématiques. Choix collectif Modèles mathématiques. Science politique Modèles mathématiques. Théorie des jeux. POLITICAL SCIENCE Political Process Elections. bisacsh Game theory fast Political science Mathematical models fast Social choice Mathematical models fast Voting Mathematical models fast Verkiezingen. gtt Kiesgedrag. gtt Strategische aspecten. gtt Social choice. gtt Wiskundige modellen. gtt Speltheorie. gtt |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85052941 https://id.nlm.nih.gov/mesh/D005716 |
| title | Social choice and the mathematics of manipulation / |
| title_auth | Social choice and the mathematics of manipulation / |
| title_exact_search | Social choice and the mathematics of manipulation / |
| title_full | Social choice and the mathematics of manipulation / Alan D. Taylor. |
| title_fullStr | Social choice and the mathematics of manipulation / Alan D. Taylor. |
| title_full_unstemmed | Social choice and the mathematics of manipulation / Alan D. Taylor. |
| title_short | Social choice and the mathematics of manipulation / |
| title_sort | social choice and the mathematics of manipulation |
| topic | Voting Mathematical models. Social choice Mathematical models. Political science Mathematical models. Game theory. http://id.loc.gov/authorities/subjects/sh85052941 Game Theory https://id.nlm.nih.gov/mesh/D005716 Vote Modèles mathématiques. Choix collectif Modèles mathématiques. Science politique Modèles mathématiques. Théorie des jeux. POLITICAL SCIENCE Political Process Elections. bisacsh Game theory fast Political science Mathematical models fast Social choice Mathematical models fast Voting Mathematical models fast Verkiezingen. gtt Kiesgedrag. gtt Strategische aspecten. gtt Social choice. gtt Wiskundige modellen. gtt Speltheorie. gtt |
| topic_facet | Voting Mathematical models. Social choice Mathematical models. Political science Mathematical models. Game theory. Game Theory Vote Modèles mathématiques. Choix collectif Modèles mathématiques. Science politique Modèles mathématiques. Théorie des jeux. POLITICAL SCIENCE Political Process Elections. Game theory Political science Mathematical models Social choice Mathematical models Voting Mathematical models Verkiezingen. Kiesgedrag. Strategische aspecten. Social choice. Wiskundige modellen. Speltheorie. |
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