Bribing a majority of miners does not guarantee success.
If you bribe 51% of hash power, then there is only a 51% chance that they will mine the next block.
If someone that you did NOT bribe ends up getting lucky and solving the next block, then the attackers need to continue their attack for extra blocks in hopes of catching up with the longer chain. They also have to hope that the amount of hash power on the longer chain doesn't increase enough during their attack to overcome their 1% advantage.
At any moment, any number of bribed miners could panic and fear that they are wasting time and money mining on a fork that will never catch up. Realizing that other miners may be feeling the same fear, there will be a large incentive to defect early rather than waiting to be the last fool on the losing fork.
You'll need to find an equitable way to split up that bribe across all the pools that you bribe, and you'll need to hope that the pool participants don't figure it out and abandon the pool.