We propose a model describing the colonization process of empty ecological niches. The members of the population are characterized by a single trait (phenotype). The fitness of an individual is measured as the difference between the value of its trait and the optimal phenotype characterizing the...

In this paper, we investigate the Sznajd model of opinion dynamics with anticonformity on a complete graph. We show that below some threshold value of anticonformal behavior spontaneous reorientations occur between two stable states. Dealing with a complete graph allows us also for an analytical...

We propose a model to simulate the process of opinion formation in a society where the traditional division into leftists and rightists is not enough any longer. The model is based on the Ashkin–Teller idea to assign two Ising spins to each site (agent). The two states (up and down) of the...

A model of a system of populations (metapopulation) is presented in which a population is characterized by a mean phenotype (or equivalently a continuous character) averaged over all individuals belonging to the population. The populations interact by exchanging genetic information (gene flow)...

We introduce a model of a large, sexual, population in which partners for reproduction are chosen randomly, without any bias. This large population is composed of two groups of local populations living in different environments and being in contact. We propose a dynamic equation describing, like...

In this paper, we modify a two-dimensional variant of a two-state nonlinear voter model and apply it to understand how new ideas, products or behaviors spread throughout the society in time. In particular, we want to find answers to two important questions in the field of diffusion of...

We propose a simple microscopic model of consumer behavior in which decisions are made solely on the basis of person to person communication. Within our model we determine which factors are important in word of mouth marketing. We provide both Monte Carlo simulations, as well as mean-field...

Using an agent-based modeling approach we study the temporal dynamics of consumer opinions regarding switching to dynamic electricity tariffs and the actual decisions to switch. We assume that the decision to switch is based on the unanimity of τ past opinions. The resulting model offers a...

The book is divided into four chapters. The first one introduces the structure of deregulated, competitive electricity markets with the power pools and power exchanges as the basic marketplaces for price discovery. Chapter 2 reviews the so-called stylized facts of selected power markets. In...