Rational Voters and the Recall Election

The 2003 California recall election presented voters with a pair of choices. The first was whether or not to recall Gray Davis as Governor of the state. They were then faced with a list of 135 potential replacement candidates, one of whom would be chosen in the event Davis lost on the initial recall question. The two ballot questions were formally separate questions, but they were interrelated and conditional in nature. If I vote in favor of recalling Davis as Governor, whom should I support to replace him? Alternatively, voters who opposed recalling Davis as Governor had to decide who to vote for as replacement candidate to try to insure that, if Davis were recalled, an acceptable replacement candidate would be elected.