[EM] Confirmed!: Condorcet efficiency of IRV > 2-stage runoff
Rob LeGrand
honky1998 at yahoo.com
Fri Sep 20 12:45:05 PDT 2002
Oh hell . . . I mistyped the sizes of some of the voting blocs. Sorry
about that.
Sincere preferences:
45:Reagan>Anderson>Carter
35:Carter>Anderson>Reagan
20:Anderson>Carter>Reagan
Plurality equilibrium:
45:Reagan
35:Carter
20:Carter <--- insincere
IRV equilibrium:
45:Anderson>Reagan>Carter <--- insincere
35:Carter>Anderson>Reagan
20:Anderson>Carter>Reagan
Note that there are two other plurality equilibria. In fact, there's a
plurality equilibrium for each sincere pairwise majority in an
election, so there's always at least one that elects the Condorcet
winner. I believe the IRV equilibrium above is unique, so all of the
plurality and IRV equilibria for this electorate entail insincerity.
=====
Rob LeGrand
robl at aggies.org
http://www.aggies.org/robl/
for Texas State Representative, District 50
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