7(-&&*********$:*^*^$*x** ++*+D* .c5.Example 3. A Cycle and Squeeze; Example 3. A Cycle and Squeeze a) sincere ballots Interest GroupsBallotIIIIIIIVranks7 voters2 voters3 voters4 voters1st choiceABBC2ndBACB3rdCCAA Pairwise comparisons .ABCA7 : 99 : 7B9 : 712 : 4C7 : 94 : 12 B beats both A and C, so CSTV would elect B is a Condorcet winner. b) with strategic voting by As party Interest GroupsBallotIiIiiIiiiIIIIIIVranks2 voters4 voters4 voters3 voters3 voters5 voters1st choiceCAABBC2ndACBACB3rdBBCCAA Pairwise comparisons .ABCA10 : 1111 : 10B11:1010 : 11C10:1111:10 B beats A who beats C who now beats B. The 6 voters who moved C above B have created a voting cycle. No one wins by Condorcets criterion so CSTV requires an elimination. Now that 2 of As supporters have given their first preferences to C, C has more first-place votes than B. So we eliminate B. c) after one elimination Interest GroupsBallotIiIiiIiiiIIIIIIVranks2 voters4 voters4 voters3 voters3 voters5 voters1st choiceCAAACC2ndACCCAA Pairwise comparisons .ACA11 : 10C10:11 A wins. Some political scientists argue that polarized societies benefit from decisive action more than from compromise. I tend to disagree. That is the worst of majority tyranny. In any case, The opportunities for this rarely occur and contain great risks. If too many of As supporters, one more in this example, change their first preferences, they elect C, their least favorite candidate. nRYRYuQX   +A  DW+CB  B!P2(L"C QXq    " q0,?7?,002347?,"Bq0?#?#420 ?#"  ;G (D8  +((13   %( 10  5 G)11  I+W+16  ;9G?(D:5oRYRYwQX   +A  DW+BB  B!P2(L"C QXq    " q8(BB(>&;$8B"&;q0?$?$420 ?$"  : F (C10  + ((11   $( 10  6 C)!11  H+V+10  ::FH(C;11ny ?H41H4!G3   + A  8!F2+8C G3q&4$4$*(& 4$"  / ; (810  ! (1116 voters; but A must mis-calculate by 2 votes not just 1 to elect C.142247 : 99 : 79:77 : 97:99:712249 : 77 : 9two  +A  DW+BB  B!P2(L"C QXq    " q8(BB(>&;$8B"&;q0?$?$420 ?$"  : F (C10#$%E!"#$(./1@ABGJPRTdefhsty{GIPQ]_abnprs)+9:T @ p @@VTV\^   /0CDHI%*./013:<>GHIKR_bGPQVY@ @ @V%EYZjklmnuwz~j(P@p 0!p@@@@@@@@(P@p 0!p@@@(P@p!p!p!p!p@@@@@@@@@@@@@@@$#$%&'(Υtoe\e\9\"P40000@@@@@@@@@$ $(P@p 0!p@@@@@@@@$(P@p 0!p@@@$(P@p 0!p@@@@@@@@(*,./139?@BHJQRTZacdfӄ|oh```````$  x "P4P 0@@@"P4P 0@@@@@@@"P4P 0@@@@@@@ $ !*3<EFQSUWY[]ÎY4PX r4%W@@@@@@@@@@4PX r4%W@@@@@@@@@$4PX%W%W%W%W%W%W@@@@@@@@@@@@@@@]^bdfhjlnosuwy{}ÎYTJJA$ $4PX r4%W@@@@@@@@@@4PX r4%W@@@$4PX r4%W@@@@@@@@@@ aX$"P4P 0@@@"P4P 0@@@@@@@"P4P 0@@@@@@$"P40000@@@@@@@@@ $HIcdtuvwxyz¸xC4PX T&!n@@@4PX!n!n!n!n!n!n@@@@@@@@@@@@@@@@@@@@@ $ $ $"P4P 0@@@@@@@&'()*|rriLB $P(@@@@@@@$ $ $4PX T&!n@@@@@@@@@@4PX T&!n@@@@@@@@@@ $*,./13;<>DFGIٶP(P @@@@@@P(P @@@@@@ $*xxhidden@ X`! !d@! !d@! !d@h    h h   @T (]* "*\brHP(HPP  '=/J(KVCEBEFImrvxyz{GPQVY$%"+= :CP<s<