We propose a mathematical model of momentum risk-taking, which is essentially real-time risk management focused on short-term volatility. Its implementation, a fully automated momentum equity trading system, is systematically discussed in this paper. It proved to be successful in extensive...

A large market economy has a huge number of degrees of freedom with weak microlevel coordination. The 'implicit microfoundations' approach considers this property of micro-level interactions to more strongly determine macro-level outcomes compared to the precise details of individual choice...

This study examined social system failures and sought to identify a plausible mechanism behind these failures. Stretched exponential distributions were observed for failure of marriages in the US, UK, and Germany. In addition, the study provides evidence of power laws in the failure of large...

I argue that it is microeconomics that needs foundations, not macroeconomics. Preferences need to be built on biology, and, in particular, on neuroscience. In contrast, macroeconomics could benefit from rationalizations of aggregate economic phenomena by non-equilibrium statistical physics.

The authors propose a new method for estimating the power-law exponents of firm size variables. Their focus is on how to empirically identify a range in which a firm size variable follows a power-law distribution. On the one hand, as is well known a firm size variable follows a power-law...

In this paper, we draw upon the close relationship between statistical physics and mathematical finance to develop a suite of models for financial bubbles and crashes. By modifying previous approaches, we are able to derive novel analytical formulae for evaluation problems and for the expected...

In recent years economic agents and systems have become more and more interactive and juxtaposed, therefore the social sciences need to rely on the studies of physical sciences to analyze this complexity in the relationships. According to this point of view, the authors rely on the geometrical...

In this paper the author shows that signed temporal changes of firm size variables follow the power-law for large changes; while, for middle changes a log-normal distribution is found. In the analyses, the author employed three databases: highincome data, high-sales data and positive-profits...

In this paper we develop a well-established financial model to investigate whether bubbles were present in opinion polls and betting markets prior to the UK's vote on EU membership on 23 June 2016. The importance of our contribution is threefold. Firstly, our continuous-time model allows for...