The average economic agent is often used to model the dynamics of simple
markets, based on the assumption that the dynamics of many agents can be
averaged over in time and space. A popular idea that is based on this seemingly
intuitive notion is to dampen electric power fluctuations from fluctuating
sources (as e.g. wind or solar) via a market mechanism, namely by variable
power prices that adapt demand to supply. The standard model of an average
economic agent predicts that fluctuations are reduced by such an adaptive
pricing mechanism.
<br />However, the underlying assumption that the actions of all agents average out
on the time axis is not always true in a market of many agents. We numerically
study an econophysics agent model of an adaptive power market that does not
assume averaging a priori. We find that when agents are exposed to source noise
via correlated price fluctuations (as adaptive pricing schemes suggest), the
market may amplify those fluctuations. In particular, small price changes may
translate to large load fluctuations through catastrophic consumer
synchronization. As a result, an adaptive power market may cause the opposite
effect than intended: Power fluctuations are not dampened but amplified
instead.
Using open source data, we observe the fascinating dynamics of nighttime
light. Following a global economic regime shift, the planetary center of light
can be seen moving eastwards at a pace of about 60 km per year. Introducing
spatial light Gini coefficients, we find a universal pattern of human
settlements across different countries and see a global centralization of
light. Observing 160 different countries we document the expansion of
developing countries, the growth of new agglomerations, the regression in
countries suffering from demographic decline and the success of light pollution
abatement programs in western countries.
The cusp catastrophe theory has been primarily developed as a deterministic
theory for systems that may respond to continuous changes in a control
variables by a discontinuous change. While most of the systems in behavioral
sciences are subject to noise, and in behavioral finance moreover to
time-varying volatility, it may be difficult to apply the theory in these
fields. This paper addresses the issue and proposes a two-step estimation
methodology, which will allow us to apply the catastrophe theory to model stock
market crashes. Utilizing high frequency data, we estimate the daily realized
volatility from the returns in the first step and use the stochastic cusp
catastrophe on the data normalized by the estimated volatility in the second
step to study possible discontinuities in markets. We support our methodology
by simulations where we also discuss the importance of stochastic noise and
volatility in the deterministic cusp model. The methodology is empirically
tested on almost 27 years of U.S. stock market evolution covering several
important recessions and crisis periods. Results suggest that the proposed
methodology provides an important shift in application of catastrophe theory to
stock markets. We show that stock markets subject to noise and time-varying
volatility shows strong bifurcation marks. Due to the very long sample period
we also develop a rolling estimation approach, where we study the dynamics of
the parameters and we find that while in the first half of the period stock
markets showed strong marks of bifurcations, in the second half catastrophe
theory was not able to confirm this behavior. Results may have an important
implications for understanding the recent deep financial crisis of 2008.
We introduce a tractable multi-currency model with stochastic volatility and
correlated stochastic interest rates that takes into account the smile in the
FX market and the evolution of yield curves. The pricing of vanilla options on
FX rates can be performed effciently through the FFT methodology thanks to the
affinity of the model Our framework is also able to describe many non trivial
links between FX rates and interest rates: a second calibration exercise
highlights the ability of the model to fit simultaneously FX implied
volatilities while being coherent with interest rate products.
Social organization and division of labor crucially influence the performance
of collaborative software engineering efforts. In this paper, we provide a
quantitative analysis of the relation between social organization and
performance in Gentoo, an Open Source community developing a Linux
distribution. We study the structure and dynamics of collaborations as recorded
in the project's bug tracking system over a period of ten years. We identify a
period of increasing centralization after which most interactions in the
community were mediated by a single central contributor. In this period of
maximum centralization, the central contributor unexpectedly left the project,
thus posing a significant challenge for the community. We quantify how the
rise, the activity as well as the subsequent sudden dropout of this central
contributor affected both the social organization and the bug handling
performance of the Gentoo community. We analyze social organization from the
perspective of network theory and augment our quantitative findings by
interviews with prominent members of the Gentoo community which shared their
personal insights.
Air transport is a key infrastructure of modern societies. In this paper we
review some recent approaches to air transport, which make extensive use of
theory of complex networks. We discuss possible networks that can be defined
for the air transport and we focus our attention to networks of airports
connected by flights. We review several papers investigating the topology of
these networks and their dynamics for time scales ranging from years to
intraday intervals, and consider also the resilience properties of air networks
to extreme events. Finally we discuss the results of some recent papers
investigating the dynamics on air transport network, with emphasis on
passengers traveling in the network and epidemic spreading mediated by air
transport.
We propose a modelling framework for growing multiplexes where a node can
belong to different networks. We define new measures for multiplexes and we
identify a number of relevant ingredients for modeling their evolution such as
the coupling between the different layers and the arrival time distribution of
nodes. The topology of the multiplex changes significantly in the different
cases under consideration, with effects of the arrival time of nodes on the
degree distribution, average shortest paths and interdependence.
The importance of graph mining has been widely recognized thanks to a large
variety of applications in many areas, while real datasets always play
important roles to examine the solution quality and efficiency of a graph
mining algorithm. Nevertheless, the size of a real dataset is usually fixed and
constrained according to the available resources, such as the efforts to crawl
an on-line social network. In this case, employing a synthetic graph generator
is a possible way to generate a massive graph (e.g., billions nodes) for
evaluating the scalability of an algorithm, and current popular statistical
graph generators are properly designed to maintain statistical metrics such as
total node degree, degree distribution, diameter, and clustering coefficient of
the original social graphs. Nevertheless, in addition to the above metrics,
recent studies on graph mining point out that graph frequent patterns are also
important to provide useful implications for the corresponding social
networking applications, but this crucial criterion has not been noticed in the
existing graph generators. This paper first manifests that numerous graph
patterns, especially large patterns that are crucial with important
domain-specific semantic, unfortunately disappear in the graphs created by
popular statistic graph generators, even though those graphs enjoy the same
statistical metrics with the original real dataset. To address this important
need, we make the first attempt to propose a pattern based graph generator
(PBGG) to generate a graph including all patterns and satisfy the
user-specified parameters on supports, network size, degree distribution, and
clustering coefficient. Experimental results show that PBGG is efficient and
able to generate a billion-node graph with about 10 minutes, and PBGG is
released for free download.
High frequency trading has led to widespread efforts to reduce information
propagation delays between physically distant exchanges. Using relativistically
correct millisecond-resolution tick data, we document a 3-millisecond decrease
in one-way communication time between the Chicago and New York areas that has
occurred from April 27th, 2010 to August 17th, 2012. We attribute the first
segment of this decline to the introduction of a latency-optimized fiber optic
connection in late 2010. A second phase of latency decrease can be attributed
to line-of-sight microwave networks, operating primarily in the 6-11 GHz region
of the spectrum, licensed during 2011 and 2012. Using publicly available
information, we estimate these networks' latencies and bandwidths. We estimate
the total infrastructure and 5-year operations costs associated with these
latency improvements to exceed $500 million.
A growing part of the behavioral finance literature has addressed some of the
stylized facts of financial time series as macroscopic patterns emerging from
herding interactions among groups of agents with heterogeneous trading
strategies and a limited rationality. We extend a stochastic herding formalism
introduced for the modeling of decision making among financial agents, in order
to take also into account an external influence. In particular, we study the
amplification of an external signal imposed upon the agents by a mechanism of
resonance. This signal can be interpreted as an advertising or a public
perception in favor or against one of the two possible trading behaviors, thus
periodically breaking the symmetry of the system and acting as a continuously
varying exogenous shock. The conditions for the ensemble of agents to more
accurately follow the periodicity of the signal are studied, finding a maximum
in the response of the system for a given range of values of both the noise and
the frequency of the input signal.