The idea is that what "correctly" means is decided by normal voting; the markets merely determine how to get there. That's what they meant by "vote value, bet o

The idea is that what "correctly" means is decided by normal voting; the markets merely determine how to get there. That's what they meant by "vote value, bet on beliefs": we use a normal democratic approach to specify what we want (things like "lower level of violent crime", "higher GDP in ten years") but then use a market-based system to decide how to get there. The trick is that, once we've settled on the metric to target, trying to sabotage it using the markets would cause you to lose large amounts of money. Moreover, if rational actors realize you're trying to sabotage the system, they can bet against you and make large amounts of money. It provides an in-built incentive to execute whatever was democratically decided in the first step. Not a perfect system, but it does address that particular issue.