Intertemporal choice has been drawing attention in econophysics and neuroeconomics. In this paper, we experimentally estimate the parameters and AICc (Akaike Information Criterion with small sample correction) of intertemporal choice models (exponential, simple hyperbolic, quasi hyperbolic, and...

We present a fourth-order spatial accurate and practically stable compact difference scheme for the Cahn–Hilliard equation. The compact scheme is derived by combining a compact nine-point formula and linearly stabilized splitting scheme. The resulting system of discrete equations is solved by...

Although many successful algorithms have been designed to discover community structures in network, most of them are dedicated to disjoint and non-overlapping communities. Very few of them are intended to discover overlapping communities, particularly the detection of such communities have...

The HIV infection dynamics is discussed in detail with a 3-dimensional cellular automata model in this paper. The model can reproduce the three-phase development, i.e., the acute period, the asymptotic period and the AIDS period, observed in the HIV-infected patients in a clinic. We show that...

Sentiment contagion such as the spread of panic in emergencies is a common phenomenon in human society. Considering the difference between sentiment contagion and epidemic contagion, we define the transition probabilities of the binary emotional state (optimism, pessimism) and establish a...

In this paper we propose a statistical physics approach to experimental results on bacterial mutations (Escherichia coli). We get scaling laws that describe some generic traits and suggest some features of the underlying dynamical structure for the considered evolution process. Our main...

Despite many efforts crises on financial markets are in large part still scientific black-boxes. In this paper, we use a winner-take-all approach to construct a longitudinal network of S&P 500 companies and their correlations between 2000 and 2012. A comparison to complex ecosystems is drawn,...

This paper deals with the problem of discrete time option pricing by a mixed Brownian-fractional subdiffusive Black–Scholes model. Under the assumption that the price of the underlying stock follows a time-changed mixed Brownian-fractional Brownian motion, we derive a pricing formula for the...

Critical social ensembles are generated using a decision making model (DMM) consisting of a master equation, with two-state elements at the nodes of a two-dimensional lattice. The dynamics of the DMM undergo phase transitions to either a consensus state or another state composed of apparently...

The nucleation in Ising ferromagnet has been studied by Monte Carlo simulation. Here, unlike the earlier studies, the magnetic field is spreading over the space in time. The nucleation time is observed to increase as compared to that in the case of static field. The clusters of negative spins...