标题： 经济学中的非线性伯恩斯坦-薛定谔方程 显示英文标题

标题： The nonlinear Bernstein-Schrödinger equation in Economics

摘要： 在本文中，我们将平衡分配问题（EAP），这一问题在多个经济学模型中作为基础，与一个我们称为“非线性伯恩斯坦-薛定谔系统”的非线性方程组联系起来。该系统在线性情况下是广为人知的，但其非线性扩展似乎尚未被研究。我们应用这种联系来推导EAP的存在性结果以及一种高效的计算方法。 显示英文摘要

摘要： In this paper we relate the Equilibrium Assignment Problem (EAP), which is underlying in several economics models, to a system of nonlinear equations that we call the "nonlinear Bernstein-Schr\"odinger system", which is well-known in the linear case, but whose nonlinear extension does not seem to have been studied. We apply this connection to derive an existence result for the EAP, and an efficient computational method.