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Book Cover
Author Taylor, Alan D., 1947-

Title Social choice and the mathematics of manipulation / Alan D. Taylor.

Imprint Cambridge ; New York : Cambridge University Press, 2005.


Location Call No. Status
 University of Saint Joseph: Pope Pius XII Library - Standard Shelving Location  324.6 T238S    Check Shelf
Description xi, 176 pages ; 24 cm.
Series Outlooks
Note "Mathematical Association of America."
Bibliography Includes bibliographical references (pages 167-171) and index.
Contents 1. An introduction to social choice theory -- 2. An introduction to manipulability -- 3. Resolute voting rules -- 4. Non-resolute voting rules -- 5. Social choice functions -- 6. Ultrafilters and the infinite -- 7. More on resolute procedures -- 8. More on non-resolute procedures -- 9. Other election-theoretic contexts.
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."--Jacket.
Subject Voting -- Mathematical models.
Social choice -- Mathematical models.
Political science -- Mathematical models.
Game theory.
Vote -- Modèles mathématiques.
Choix collectif -- Modèles mathématiques.
Science politique -- Modèles mathématiques.
Jeux, Théorie des.
Game theory. (OCoLC)fst00937501
Political science -- Mathematical models. (OCoLC)fst01069815
Social choice -- Mathematical models. (OCoLC)fst01122341
Voting -- Mathematical models. (OCoLC)fst01169244
Strategische aspecten.
Social choice.
Wiskundige modellen.
Added Author Mathematical Association of America.
ISBN 0521810523 (hardback ; alk. paper)
9780521810524 (hardback ; alk. paper)
0521008832 (pbk. ; alk. paper)
9780521008839 (pbk. ; alk. paper)
Standard No. 9780521008839
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