40,014 research outputs found
Cascades of Dynamical Transitions in an Adaptive Population
In an adaptive population which models financial markets and distributed
control, we consider how the dynamics depends on the diversity of the agents'
initial preferences of strategies. When the diversity decreases, more agents
tend to adapt their strategies together. This change in the environment results
in dynamical transitions from vanishing to non-vanishing step sizes. When the
diversity decreases further, we find a cascade of dynamical transitions for the
different signal dimensions, supported by good agreement between simulations
and theory. Besides, the signal of the largest step size at the steady state is
likely to be the initial signal.Comment: 4 pages, 8 figure
Models of Financial Markets with Extensive Participation Incentives
We consider models of financial markets in which all parties involved find
incentives to participate. Strategies are evaluated directly by their virtual
wealths. By tuning the price sensitivity and market impact, a phase diagram
with several attractor behaviors resembling those of real markets emerge,
reflecting the roles played by the arbitrageurs and trendsetters, and including
a phase with irregular price trends and positive sums. The positive-sumness of
the players' wealths provides participation incentives for them. Evolution and
the bid-ask spread provide mechanisms for the gain in wealth of both the
players and market-makers. New players survive in the market if the
evolutionary rate is sufficiently slow. We test the applicability of the model
on real Hang Seng Index data over 20 years. Comparisons with other models show
that our model has a superior average performance when applied to real
financial data.Comment: 17 pages, 16 figure
Non-wetting drops at liquid interfaces: From liquid marbles to Leidenfrost drops
We consider the flotation of deformable, non-wetting drops on a liquid
interface. We consider the deflection of both the liquid interface and the
droplet itself in response to the buoyancy forces, density difference and the
various surface tensions within the system. Our results suggest new insight
into a range of phenomena in which such drops occur, including Leidenfrost
droplets and floating liquid marbles. In particular, we show that the floating
state of liquid marbles is very sensitive to the tension of the
particle-covered interface and suggest that this sensitivity may make such
experiments a useful assay of the properties of these complex interfaces.Comment: 21 pages, 9 figures. Minor typos correcte
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