The criminal jury system is characterized by two often conflicting fea
tures: (i) A very diverse population, like that in the United States,
is likely to result in even rational, open-minded jurors disagreeing a
bout issues fundamental to the resolution of any case; and (ii) Almost
all jurisdictions require unanimity in order to either acquit or conv
ict a defendant on any charge. Using a simple spatial model, we demons
trate how the existing allowance for numerous peremptory challenges fa
cilitates the production or verdicts by eliminating potential jurors w
ith ''extreme'' preferences; however, it does so by sacrificing any se
mblance of a democratically representative jury. We show that changing
the decision rule governing the jury to simple majority rule also fac
ilitates the production of verdicts without discriminating against pot
ential jurors because of their anticipated preferences or beliefs. In
addition, such a change would eliminate the inefficiencies associated
with protracted jury selection and mistrials resulting from hung jurie
s.