公平分配问题的初等解法
Elementary solution to the fair division problem
AI总结：
提出一种新的初等方法解决连续资源的公平分配问题，首次考虑以电荷（符号测度）为选择标准，通过分析特殊构造的动力学系统轨迹性质，证明了向极限解的指数快速收敛性。
摘要：
提出了一种新的且相对初等的方法，用于解决多个参与者之间连续资源（可测空间、派等）的公平分配问题，其选择标准由电荷（符号测度）描述。首次考虑了带有电荷的问题设定。该问题归结为分析一个在有限可测分拆空间中作用的、特殊构造的动力学系统的轨迹性质。对于真实测度和电荷这两种情况，都证明了向极限解的指数快速收敛性。
英文摘要：
A new and relatively elementary approach is proposed for solving the problem of fair division of a continuous resource (measurable space, pie, etc.) between several participants, the selection criteria of which are described by charges (signed measures). The setting of the problem with charges is considered for the first time. The problem comes down to analyzing the properties of the trajectories of a specially constructed dynamical system acting in the space of finite measurable partitions. Exponentially fast convergence to a limit solution is proved for both the case of true measures and the case of charges.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
