Equilibrium prices in economies now infinitely differentiable, changing financial landscapes forever.
The article explores how prices and allocations in a linear exchange economy change based on initial endowments and utility vectors. The researchers found that equilibrium prices are smooth and continuously differentiable over a large portion of the initial endowment and utility vector space. They also developed a formula to calculate equilibrium prices and allocations near a known point. Additionally, they discovered that equilibrium prices change smoothly across the entire space.