Competitive Equilibrium in a Radial Network
证明在有限容量网络上的竞争市场中，可以无损失地关注简单分配（即链路上净交易等于总交易）。简单分配若被均衡支撑则有效；若均衡分配等价于简单分配但后者不再被均衡支撑，则原均衡分配无效。任何有效分配都存在等价的简单分配可被竞争均衡支撑。
In a competitive market over a network with finite capacity, we can focus without loss of generality on simple allocations, where the net transaction over a link is equal to the gross transaction over the same link. If a simple allocation can be sustained by an equilibrium, then the allocation is efficient. If an equilibrium allocation is equivalent to a simple allocation and if the simple allocation is no longer sustained by an equilibrium, then the original equilibrium allocation is not efficient. For any efficient allocation, an equivalent simple allocation exists that can be sustained by a competitive equilibrium. Copyright 2003 by the RAND Corporation.