Synergetic Application, Equations on Rule of Law and Two-Party Mechanism

TL;DR

This paper introduces mathematical equations modeling the rule of law and corruption, and visualizes a two-party democratic mechanism using synergetics, aiming to understand societal stability and development.

Contribution

It develops new equations on the rule of law and corruption, and applies synergetics to model two-party democratic systems.

Findings

Mathematically proves the necessity of legislation, administration, and judicature for the rule of law.

Proposes an equation to quantify corruption thresholds.

Models a two-party mechanism as a stable structure in democracy.

Abstract

Based on the synergetic equations and its application, we propose the equations on the rule of law. From these equations we may prove mathematically that a society of the rule of law cannot lack any aspect for three types of the legislation, the administration and the judicature. Otherwise, we propose an equation of corruption, and discuss quantitatively some threshold values for a system into corruption. Moreover, from synergetics we obtain the Lorenz model, which may be a visualized two-party mechanism as a type of stable structure in democracy. A developed direction of society should be the combination from macroscopic to microscopic order, from an actual capable handling to an ideal pursuance.