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

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