In the context of understanding the nature of the risk transformation process of the financial system we propose an iterative risk-trading game between several agents who build their trading strategies based on a general utility setting. The game is studied numerically for different network...

We generalize the usual exponential Boltzmann factor to any reasonable and potentially observable distribution function, B(E). By defining generalized logarithms Λ as inverses of these distribution functions, we are led to a generalization of the classical Boltzmann–Gibbs entropy...

We propose a model for cell migration where epithelial cells are able to detect trajectories of other cells and try to follow them. As cells move along in 2D cell culture, they mark their paths by loosing tiny parts of cytoplasm. Any cell moving on a surface where other cells have moved before...

We study opinion formation processes in small social networks. In particular we show how a group’s ability for efficient decision-making depends on its size. We adopt a threshold voter model and show that there exists a characteristic size beyond which the probability of forming internal...

We show that within classical statistical mechanics it is possible to naturally derive power-law distributions which are of Tsallis type. The only assumption is that microcanonical distributions have to be separable from of the total system energy, which is reasonable for any sensible...

Traditionally evolution is seen as a process where from a pool of possible variations of a population (e.g. biological species or industrial goods) a few variations get selected which survive and proliferate, whereas the others vanish. Survival probabilities and proliferation rates are...

We show that within classical statistical mechanics, without taking the thermodynamic limit, the most general Boltzmann factor for the canonical ensemble is a q-exponential function. The only assumption here is that microcanonical distributions have to be separated from the total system energy,...

We propose a simple quantitative model of Schumpeterian economic dynamics. New goods and services are endogenously produced through combinations of existing goods. As soon as new goods enter the market they may compete against already existing goods, in other words new products can have...

In the context of understanding risk-regulatory behavior of financial institutions we propose a general dynamical game between several agents who pick their trading strategies depending on their individual risk-to-wealth ratio. The game is studied numerically for different network topologies....