Researchers explored a way to design fair mechanisms where people can achieve their best outcome by telling the truth. They wanted to combine strategies for fairness with methods for solving complex problems. They found that a method called Bayesian incentive compatibility makes it possible to create fair mechanisms even when dealing with tricky computational issues. By using this approach, they showed that it's feasible to maximize overall well-being when working with a simplified type of problem involving single-factor choices, even if these choices are only approximate and not exact.