We develop a framework based on microeconomic theory from which the ideal gas like market models can be addressed. A kinetic exchange model based on that framework is proposed and its distributional features have been studied by considering its moments. Next, we derive the moments of the CC...

It has been recently noticed that time series of returns in stock markets are of multifractal (multiscaling) character. In that context, multifractality has been always evidenced by its statistical signature (i.e., the scaling exponents associated to a related variable). However, a direct...

In this paper we define a new class of weighted complex networks sharing several properties with fractal sets, and whose topology can be completely analytically characterized in terms of the involved parameters and of the fractal dimension. General networks with fractal or hierarchical...

A simple model of opinion formation dynamics in which binary-state agents make up their opinions due to the influence of agents in a local neighborhood is studied using different network topologies. Each agent uses two different strategies, the Sznajd rule with a probability q and the Galam...

Using the Sznajd-Weron model as a starting point, we analyzed the effect on the statistical properties of this model under changes in the connectivity of the network and under the introduction of memory to the units, as well as by introducing a communication error that influences the way a unit...

We use q-exponential distributions, which maximize the nonextensive entropy Sq (defined as Sq≡(1−∑ipiq)/(q−1)), to study the size distributions of non-coding DNA (including introns and intergenic regions) in all human chromosomes. We show that the value of the exponent q describing the...

Most papers about the evolutionary game on graph assume the statistic network structure. However, in the real world, social interaction could change the relationship among people. And the change of social structure will also affect people’s strategies. We build a coevolution model of...

We study the efficacy of allelomimesis as an escape strategy of mobile agents (pedestrians) that aim to leave a two-exit room within the shortest possible time. Allelomimesis is the act of copying one’s kindred neighbors. To escape, an agent employs one of the following strategies: (1) It...

It has been repeatedly reported that time series of returns in stock markets are of multifractal (multiscaling) character. Recently, a direct geometrical framework, much more revealing about the underlying dynamics than usual statistical approaches, has been introduced. In this paper we use this...