Team-building is the key to creating a strong accountability. It is not a competition, it is not survival, it is teamwork. A great project manager is someone who is able to motivate, keep the direction of the team in a cohesive way and provide each team-member with enough independence to do the work in a creative and focused way.
Accountability comes when the team wins as a team, not at the level of each individual. Success stories are to be celebrated, mistakes are to be analysed. It is not about money, it is about culture and drive.
A motivated team will take accountability for its work by default. It will seek perfection, strive for keeping its deadlines in check and most important, will do the work required for the project to be successful because the team loves the work they do.