2000 Mathematics Subject Classification. Primar y 91-01 Secondar y 91B12. For additiona l informatio n an d update s o n thi s book , visi t www.ams.org/bookpages/mawrld-22 Library o f Congres s Cataloging-in-Publicatio n Dat a Hodge, Jonatha n K. , 1980- The mathematic s o f votin g an d election s : a hands-o n approac h / Jonatha n K . Hodge , Richard E . Klima . p. cm . (Mathematica l world , ISS N 1055-9426 v. 22 ) Includes bibliographica l reference s an d index . ISBN 0-8218-3T98-2 (alk . paper ) 1. Voting—Mathematica l models . 2 . Elections—Mathematica l models . 3 . Socia l choice . 4. Gam e theory . 5 . Socia l sciences—Mathematica l models . I . Klima , Richar d E . II . Title . III. Series . JF1001.H63 200 5 324.9/001/5195—dc22 2005041034 Copying an d reprinting . Individua l reader s o f thi s publication , an d nonprofi t librarie s acting fo r them , ar e permitte d t o mak e fai r us e o f th e material , suc h a s t o cop y a chapte r fo r us e in teachin g o r research . Permissio n i s grante d t o quot e brie f passage s fro m thi s publicatio n i n reviews, provide d th e customar y acknowledgmen t o f th e sourc e i s given . Republication, systemati c copying , o r multipl e reproductio n o f any materia l i n this publicatio n is permitte d onl y unde r licens e fro m th e America n Mathematica l Society . Request s fo r suc h permission shoul d b e addresse d t o th e Acquisition s Department , America n Mathematica l Society , 201 Charle s Street , Providence , Rhod e Islan d 02904-2294 , USA . Request s ca n als o b e mad e b y e-mail t o reprint-permissionOams , org. © 200 5 b y th e America n Mathematica l Society . Al l right s reserved . The America n Mathematica l Societ y retain s al l right s except thos e grante d t o th e Unite d State s Government . Printed i n th e Unite d State s o f America . @ Th e pape r use d i n thi s boo k i s acid-fre e an d fall s withi n th e guideline s established t o ensur e permanenc e an d durability . Visit th e AM S hom e pag e a t http://www.ams.org / 10 9 8 7 6 5 4 3 2 10 0 9
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