2018/01/08 by Lucius T. Schoenbaum, Schoenbaum, Lucius T.
Computer Science · Physics and Astronomy · Social Sciences · #15A18 #15A80 #17A99 #91-04 #91D10 #Adaptation and Self-Organizing Systems (nlin.AO) #Electoral Systems and Political Participation #FOS: Computer and information sciences #FOS: Physical sciences #I.6.5 #J.2 #J.4 #Multiagent Systems (cs.MA) #Physics and Society (physics.soc-ph) #acm:15A18 #acm:15A80 #acm:17A99 #acm:91-04 #acm:91D10 #cs.MA #msc:15A18 #msc:15A80 #msc:17A99 #msc:91-04 #msc:91D10 #nlin.AO #physics.soc-ph
paper · pdf · doi:10.48550/arxiv.1801.02592
17 pages, 4 figures. First report
arxiv created 2018/01/08 · openalex publication_date 2018/01/08 · arxiv updated 2018/01/09 · openalex created_date 2018/01/26 · openalex updated_date 2026/07/28
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,∞], 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.