We show by Monte Carlo (MC) simulation that the hierarchy and villages emerge simultaneously in a challenging society when the population density exceeds a critical value. Our results indicate that among controlling processes of diffusion and fighting of individuals and relaxation of wealth, the...

Emergence of social hierarchy and clusters in a challenging equal-right society is studied on the basis of the agent-based model, where warlike individuals who have own power or wealth perform random walks in a random order on a lattice and when meeting others the individuals challenge the...

According to previous studies that applied a popular goodness-of-fit test, the wealth of the world’s billionaires does not follow a Pareto distribution. The test applied by those studies assumes that wealth is measured without error, yet, if different sources of data on the wealthiest people...

We show that there is a common mode of origin for the power laws observed in two different models: (i) the Pareto law for the distribution of money among the agents with random-saving propensities in an ideal gas-like market model and (ii) the Gutenberg–Richter law for the distribution of...

We study the effect of the social stratification on the wealth distribution on a system of interacting economic agents that are constrained to interact only within their own economic class. The economical mobility of the agents is related to its success in exchange transactions. Different wealth...

Pareto law, which states that wealth distribution in societies has a power-law tail, has been the subject of intensive investigations in the statistical physics community. Several models have been employed to explain this behavior. However, most of the agent based models assume the conservation...

This paper discusses the wealth distribution in a finite-sized closed economic system, where each agent may choose one amongst the four strategies: hawk, defect, cooperate and dove. When two agents encounter, exchange of the wealth is decided by the rules defined. The simulation results show...

We investigate how wealth transfer that happens at the end of an agent’s life affects its final distribution based on a multi-agent dynamic model. We discuss two kinds of wealth transfers: to a single agent and to charities. The first kind of bequest is common in our realistic world and is...

We study a model of wealth dynamics (Physica A 282 (2000) 536) which mimics transactions among economic agents. The outcomes of the model are shown to depend strongly on the topological properties of the underlying transaction network. The extreme cases of a fully connected and a fully...

This study uses survey data from India to examine the top percentile of the wealth distribution in India. Using nationally representative samples from two years, 1991 and 2002, a power law tail is found with a Pareto exponent ranging between 1.8 and 2.4. The tail is examined for three specific...