模拟分析细胞投票系统对民主选区重划的副作用
Simulations to Analyze Cellular Voting Systems for Side Effects of Democratic Redistricting
摘要：
出于党派不公正划分选区的问题，我们引入了一个代议制民主的选举制度，称为民主细胞投票，旨在使现代包装和破解策略无关紧要，允许地区直接影响选民通过选举。我们介绍一个民主的细胞投票系统，称为CV0，这是适合动态建模的例子。我们开发了一个修改的离散马尔可夫链的理论，使用的代数结构的半环$[0,\infty]$，这是用来作为一个空间的相关系数。我们用它来衡量选民的偏好和模型的代表，选民和地区在计算上可行的模型，保证长期稳定。
英文摘要：
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.
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