标题： 用于分析民主重新划分的副作用的细胞投票系统的模拟 显示英文标题

标题： Simulations to Analyze Cellular Voting Systems for Side Effects of Democratic Redistricting

摘要： 受党派划分选区问题的启发，我们引入了一种代表制民主的选举制度，称为民主细胞投票，该制度通过选举直接让选民影响选区，从而使现代的集中和分裂策略变得无关紧要。 我们介绍了一种称为CV0的民主细胞投票系统的例子，该系统适用于动态建模。 我们利用半环$[0,\infty]$的代数结构对离散马尔可夫链理论进行了修改，该半环被用作相关系数的空间。 我们使用这种方法来衡量选民偏好，并在计算上可行的模型中对代表、选民和选区进行建模，同时保证长期稳定性。 显示英文摘要

摘要： Motivated by the problem of partisan gerrymandering, we introduce an electoral system for a representative democracy called democratic cellular voting, designed to make modern packing and cracking strategies irrelevant by allowing districts to be influenced directly by voters through elections. We introduce an example of a democratic cellular voting system, called CV0, that is suitable for dynamic modelling. We develop a modification of the theory of discrete Markov chains using the algebraic structure of the semiring $[0,\infty]$, which is used as a space of correlation coefficients. We use this to measure voter preferences and model representatives, voters, and districts in computationally feasible models with a guarantee of long-term stability.