000 02509nam a22004098i 4500
001 CR9780511614316
003 UkCbUP
005 20200124160224.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090914s2005||||enk o ||1 0|eng|d
020 _a9780511614316 (ebook)
020 _z9780521810524 (hardback)
020 _z9780521008839 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aJF1001
_b.T39 2005
082 0 0 _a324.6/01/5193
_222
100 1 _aTaylor, Alan D.,
_d1947-
_eauthor.
245 1 0 _aSocial choice and the mathematics of manipulation /
_cAlan D. Taylor.
246 3 _aSocial Choice & the Mathematics of Manipulation
264 1 _aCambridge :
_bCambridge University Press,
_c2005.
300 _a1 online resource (xi, 176 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aOutlooks
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aHonesty 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 2005 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.
650 0 _aVoting
_xMathematical models.
650 0 _aSocial choice
_xMathematical models.
650 0 _aPolitical science
_xMathematical models.
650 0 _aGame theory.
710 2 _aMathematical Association of America,
_eissuing body.
776 0 8 _iPrint version:
_z9780521810524
830 0 _aOutlooks.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511614316
999 _c516990
_d516988