Study On The Aggregation Evolution Dymamics Of The Economic And Social Aggregate Systems

There widely are non-equilibrium aggregation evolution processes of many kinds of aggregates in nature and human society. The wideness of the backgrounds and the diversity of the microscopic mechanism of the aggregations cause rich aggregation evolution phenomena, which become the research hotspots in the non-equilibrium physics.Early researches on the aggregation growth phenomena were focused on the coalescences and coagulations of simple natural aggregates, and in1990s the researches were extended to some generalized aggregation processes of natural aggregates driven by several mechanisms together, including aggregation-fragmentation process, aggregation-annihilation processes, and aggregation with injections, et al.From the late1990s, the researches on the aggregation evolutions weie extended rapidly to the generalized aggregation phenomena in the complex economic and social systems. Some economic or social agents can be considered as generalized aggregates. For example, cities can be considered as aggregates of their populations, persons or families can be considered as aggregates of their assets, and business firms can be considered as aggregates with their sizes measured by their annual sales. Methods developed in the researches on the dynamic aggregation evolutions of natural aggregates were borrowed to explore the complex dynamic aggregation evolution behaviors of the economic and social aggregate systems, and some new microscopic aggregation mechanisms were proposed to explain the aggregation dynamics. Stanley et al. constructed some aggregation growth models with complex evolving internal structure to investigate the growth dynamics of US business firms and explain reproduce many of the empirical findings. Redner and Krapivsky et al. introduced monomer-exchange (migration)-driven aggregation growth models to study the evolutional kinetic scaling behaviors of the individual’s wealth distribution in an interacting individual’s wealth aggregates and the city’s population distribution in an interacting population, and the results were able to explain the empirical findings. Recently, Redner et al. introduced a model to study the dynamics of social diversities in a competitive population of human and animal worlds based on two driving mechanisms of individual fitness:advancement by competition and decline by inactivity. The aggregation dynamics is now becoming the new focus of researches of the aggregation growth phenomena. The complex aggregation dynamic mechanisms and the complex aggregation kinetic evolutional behaviors they bring are the two central topics of the aggregation evolution of the economic and social systems.In this thesis, we investigate the aggregation evolutional microscopic mechanisms of several economic and social aggregate systems, study their kinetic evolutional behaviors, and further analyze the effects of those dynamic evolution mechanisms and the competitions among the mechanisms to reveal the dominating evolution mechanisms.In Chapter1we introduce an overview of the research progress on the aggregation growth phenomena, including the main aggregation models of the natural, and economic and social aggregate systems, the most used approaches and achievements.In Chapter2we propose a dynamic evolution model of population aggregates of cities driven by the exchange of persons between two cities and the competition between the self birth and the self death of population. The research shows that the competition between the self birth and the self death of population dominates the kinetic evolution behavior of the city population aggregates.In Chapter3we propose a dynamic evolution model of aggregates of two different types, population aggregates of cities and individual asset aggregates, driven by several microscopic mechanisms, including the exchange of persons between two cities and the exchange of assets between two individuals, and the mutual catalyzed growths between a population aggregate and an asset aggregate. The research shows that the mutual catalyzed growths between a population aggregate and an asset aggregate dominate the kinetic evolution behavior of the two type aggregates, and the kinetic evolution behavior of the total number of either type aggregates is wholly dominated by their own exchanges.In Chapter4we propose a dynamic evolution model of cooperative agent and non-cooperative agent aggregates to investigate the dynamic evolution behaviors of the system. Each cooperative and non-cooperative agent is endowed with an integer value of its fitness, which is the size of the agent as an aggregate. The fitness of cooperative and non-cooperative agents evolve by the microscopic mechanisms as the win-win reaction between two cooperative agents, the lose-lose reaction between two non-cooperative agents, the migration of unit fitness from a cooperative agent to a non-cooperative agent (win-lose reaction), and the catalyzed decline of a non-cooperative agent’s fitness by a cooperative agent. The research shows that the kinetic evolution behaviors of the two type agents are primarily dominated by the competition between the lose-lose reaction of non-cooperative agents and the migration from a cooperative agent to a non-cooperative agent.