The article proves that in economies with many consumers and a few agents owning most of the wealth, there can still be a fair and efficient balance. They show this using preferences that are not always straightforward. Having a limited number of agents with a significant share of resources is crucial for achieving this efficient balance. The researchers also create a model to apply these findings to asset pricing, focusing on properness at certain allocations. They demonstrate this using a specific type of utility function in a long-term financial model.