共查询到20条相似文献,搜索用时 15 毫秒
1.
Trading by Quantum Rules: Quantum Anthropic Principle 总被引:1,自引:0,他引:1
This is a short review of the background and recent development in quantum game theory and its possible application in economics and finance. The intersection of science and society is discussed and Quantum Anthropic Principle is put forward. The review is addressed to nonspecialists. 相似文献
2.
A. Iqbal A.H. Toor 《理论物理通讯》2004,42(9)
In bimatrix games the Bishop-Cannings theorem of the classical evolutionary game theory does not permitpure evolutionarily stable strategies (ESSs) when a mixed ESS exists. We find the necessary form of two-qubit initialquantum states when a switch-over to a quantum version of the game also changes the evolutionary stability of a mixedsymmetric Nash equilibrium. 相似文献
3.
Using the measure of interference defined in this paper, we investigate the quantum phase transition of one-dimensional Ising chains. We find that thermal fluctuations affect the interference more strongly at the critical point. We also show that the derivative of the interference with respect to the coupling parameter, A, can be depressed by the thermal fluctuation. Finally, we find that this suppression is due to multi-particle excitations. 相似文献
4.
In this paper, making use of recent statistical physics techniques and models, we address the specific role of randomness in financial markets, both at the micro and the macro level. In particular, we review some recent results obtained about the effectiveness of random strategies of investment, compared with some of the most used trading strategies for forecasting the behaviour of real financial indexes. We also push forward our analysis by means of a self-organised criticality model, able to simulate financial avalanches in trading communities with different network topologies, where a Pareto-like power law behaviour of wealth spontaneously emerges. In this context, we present new findings and suggestions for policies based on the effects that random strategies can have in terms of reduction of dangerous financial extreme events, i.e. bubbles and crashes. 相似文献
5.
Quantum state targeting is a quantum game which results from combining traditional quantum state estimation with additional
classical information. We consider a particular version of the game and show how it can be played with maximally entangled
states. The optimal solution of the game is used to derive a Bell inequality for two entangled qutrits. We argue that the
nice properties of the inequality are direct consequences of the method of construction. 相似文献
6.
LIU Xiao-Shu LIU Yang 《理论物理通讯》2005,44(3):459-462
In this paper, we have detailedly studied the dynamical suppression of the phase damping for the two-qubit quantum memory of Ising model by the quantum “bang-bang” technique. We find the sequence of periodic radio-frequency pulses repetitively to flip the state of the two-qubit system and quantitatively find that these pulses can be used to effectively suppress the phase damping decoherence of the quantum memory and freeze the system state into its initial state. The general sequence of periodic radio-frequency pulses to suppress the phase damping of multi-qubit of Ising model is also given. 相似文献
7.
LIU Xiao-Shu LIU Yang 《理论物理通讯》2005,44(9)
In this paper, we have detailedly studied the dynamical suppression of the phase damping for the two-qubit quantum memory of Ising model by the quantum “bang-bang“ technique. We find the sequence of periodic radiofrequency pulses repetitively to flip the state of the two-qubit system and quantitatively find that these pulses can be used to effectively suppress the phase damping decoherence of the quantum memory and freeze the system state into its initial state. The general sequence of periodic radio-frequency pulses to suppress the phase damping of multi-qubit of Ising model is also given. 相似文献
8.
Along the way initiated by Carleo and Troyer [G. Carleo and M. Troyer, Science 355 (2017) 602], we construct the neural-network quantum state of transverse-field Ising model (TFIM) by an unsupervised machine learning method. Such a wave function is a map from the spin-configuration space to the complex number field determined by an array of network parameters. To get the ground state of the system, values of the network parameters are calculated by a Stochastic Reconfiguration (SR) method. We provide for this SR method an understanding from action principle and information geometry aspects. With this quantum state, we calculate key observables of the system, the energy, correlation function, correlation length, magnetic moment, and susceptibility. As innovations, we provide a high efficiency method and use it to calculate entanglement entropy (EE) of the system and get results consistent with previous work very well. 相似文献
9.
Conventional approaches to quantum mechanics are essentially dualistic. This is reflected in the fact that their mathematical formulation is based on two distinct mathematical structures: the algebra of dynamical variables (observables) and the vector space of state vectors. In contrast, coherent interpretations of quantum mechanics highlight the fact that quantum phenomena must be considered as undivided wholes. Here, we discuss a purely algebraic formulation of quantum mechanics. This formulation does not require the specification of a space of state vectors; rather, the required vector spaces can be identified as substructures in the algebra of dynamical variables (suitably extended for bosonic systems). This formulation of quantum mechanics captures the undivided wholeness characteristic of quantum phenomena, and provides insight into their characteristic nonseparability and nonlocality. The interpretation of the algebraic formulation in terms of quantum process is discussed. 相似文献
10.
F. Petroni M. Serva 《The European Physical Journal B - Condensed Matter and Complex Systems》2006,51(4):601-608
The present study shows how the information on `hidden' market variables effects optimal investment strategies. We take the
point of view of two investors, one who has access to the hidden variables and one who only knows the quotes of a given asset.
Following Kelly's theory on investment strategies, the Shannon information and the doubling investment rate are quantified
for both investors. Thanks to his privileged knowledge, the first investor can follow a better investment strategy. Nevertheless,
the second investor can extract some of the hidden information looking at the past history of the asset variable. Unfortunately,
due to the complexity of his strategy, this investor will have computational difficulties when he tries to apply it. He will
than follow a simplified strategy, based only on the average sign of the last l quotes of the asset. This results have been
tested with some Monte Carlo simulations. 相似文献
11.
I. Simonsen P. T.H. Ahlgren M. H. Jensen R. Donangelo K. Sneppen 《The European Physical Journal B - Condensed Matter and Complex Systems》2007,57(2):153-158
The value of stocks, indices and other assets, are examples of stochastic processes with unpredictable dynamics. In this paper,
we
discuss asymmetries in short term price movements that can not be
associated with a long term positive trend. These empirical
asymmetries predict that stock index drops are more common on a
relatively short time scale than the corresponding raises. We
present several empirical examples of such asymmetries. Furthermore,
a simple model featuring occasional short periods of synchronized
dropping prices for all stocks constituting the index is introduced
with the aim of explaining these facts. The collective negative
price movements are imagined triggered by external factors in our
society, as well as internal to the economy, that create fear of the
future among investors. This is parameterized by a “fear factor”
defining the frequency of synchronized events. It is demonstrated
that such a simple fear factor model can reproduce several empirical
facts concerning index asymmetries. It is also pointed out that in
its simplest form, the model has certain shortcomings. 相似文献
12.
S. Alfarano T. Lux F. Wagner 《The European Physical Journal B - Condensed Matter and Complex Systems》2007,55(2):183-187
The present paper expands on recent attempts at
estimating the parameters of simple interacting-agent models of
financial markets [S. Alfarano, T. Lux, F. Wagner, Computational Economics 26, 19 (2005); S. Alfarano, T. Lux, F. Wagner, in Funktionsf?higkeit und
Stabilit?t von Finanzm?rkten, edited by W. Franz, H. Ramser,
M. Stadler (Mohr Siebeck, Tübingen, 2005), pp. 241–254]. Here we
provide additional evidence by (i) investigating a large sample of
individual stocks from the Tokyo Stock Exchange, and (ii)
comparing results from the baseline noise trader/fundamentalist
model of [S. Alfarano, T. Lux, F. Wagner, Computational Economics 26, 19 (2005)] with those obtained from an even
simpler version with a preponderance of noise trader behaviour. As
it turns out, this somewhat more parsimonious “maximally skewed”
variant is often not rejected in favor of the more complex
version. We also find that all stocks are dominated by noise
trader behaviour irrespective of whether the data prefer the
skewed or the baseline version of our model. 相似文献
13.
S. Ciliberti M. Mézard 《The European Physical Journal B - Condensed Matter and Complex Systems》2007,57(2):175-180
We use a replica approach to deal with portfolio optimization problems. A
given risk measure is minimized using empirical estimates of asset values
correlations. We study the phase transition which happens when the time
series is too short with respect to the size of the portfolio. We also study
the noise sensitivity of portfolio allocation when this transition is
approached. We consider explicitely the cases where the absolute deviation
and the conditional value-at-risk are chosen as a risk measure. We show how
the replica method can study a wide range of risk measures, and deal with
various types of time series correlations, including realistic ones with
volatility clustering. 相似文献
14.
N. Sazuka 《The European Physical Journal B - Condensed Matter and Complex Systems》2006,50(1-2):129-131
A non-trivial probability structure is evident in the binary data extracted from the up/down price movements of very high
frequency data such as tick-by-tick data for USD/JPY. In this paper, we analyze the Sony bank USD/JPY rates, ignoring the
small deviations from the market price. We then show there is a similar non-trivial probability structure in the Sony bank
rate, in spite of the Sony bank rate's having less frequent and larger deviations than tick-by-tick data. However, this probability
structure is not found in the data which has been sampled from tick-by-tick data at the same rate as the Sony bank rate. Therefore,
the method of generating the Sony bank rate from the market rate has the potential for practical use since the method retains
the probability structure as the sampling frequency decreases. 相似文献
15.
Grammar Theory Based on Quantum Logic 总被引:4,自引:0,他引:4
Motivated by Ying' work on automata theory based on quantum logic (Ying, M. S. (2000). International Journal of Therotical Physics, 39(4): 985–996; 39(11): 2545–2557) and inspired by the close relationship between the automata theory and the theory of formal grammars, we have established a basic framework of grammar theory on quantum logic and shown that the set of l-valued quantum regular languages generated by l-valued quantum regular grammars coincides with the set of l-valued quantum languages recognized by l-valued quantum automata. 相似文献
16.
T. Kaizoji 《The European Physical Journal B - Condensed Matter and Complex Systems》2006,50(1-2):123-127
In this paper, we quantitatively investigate the properties of a statistical ensemble of stock prices. We focus attention
on the relative price defined as X(t) = S(t)/S(0), where S(0), is the stock price for an onset time of the bubble. We selected
approximately 3200 stocks traded on the Japanese Stock Exchange, and formed a statistical ensemble of daily relative prices
for each trading day in the 3-year period from January 4, 1999 to December 28, 2001, corresponding to the period in which
internet Bubble formed and crashed in the Japanese stock market.
We found that the upper tail of the complementary cumulative distribution function of the ensemble of the relative prices
in the high value of the price is well described by a power-law distribution, P(S>x) ∼x-α , with an exponent that moves over time. Furthermore we found that as the power-law exponents α approached two, the bubble burst. It is reasonable to suppose that it indicates that internet bubble is about to burst. 相似文献
17.
A. P. Nawroth J. Peinke 《The European Physical Journal B - Condensed Matter and Complex Systems》2006,50(1-2):147-151
A new approach is presented to describe the change in the statistics of the log return distribution of financial data as a
function of the timescale. To this purpose a measure is introduced, which quantifies the distance of a considered distribution
to a reference distribution. The existence of a small timescale regime is demonstrated, which exhibits different properties
compared to the normal timescale regime for timescales larger than one minute. This regime seems to be universal for individual
stocks. It is shown that the existence of this small timescale regime is not dependent on the special choice of the distance
measure or the reference distribution. These findings have important implications for risk analysis, in particular for the
probability of extreme events. 相似文献
18.
M. Bartolozzi 《The European Physical Journal B - Condensed Matter and Complex Systems》2007,57(3):337-345
Avalanches, or Avalanche-like, events are often
observed in the dynamical behaviour of many complex systems which
span from solar flaring to the Earth's crust dynamics and from
traffic flows to financial markets. Self-organized criticality
(SOC) is one of the most popular theories able to explain this
intermittent charge/discharge behaviour. Despite a large amount of
theoretical work, empirical tests for SOC are still in their
infancy. In the present paper we address the common problem of
revealing SOC from a simple time series without having much
information about the underlying system. As a working example we
use a modified version of the multifractal random walk originally
proposed as a model for the stock market dynamics. The study
reveals, despite the lack of the typical ingredients of SOC, an
avalanche-like dynamics similar to that of many physical systems.
While, on one hand, the results confirm the relevance of cascade
models in representing turbulent-like phenomena, on the other,
they also raise the question about the current state of
reliability of SOC inference from time series analysis. 相似文献
19.
We study a quantum game played by two players with restricted multiple strategies. It is found that in this restricted quantum game Nash equilibrium does not always exist when the initial state is entangled. At the same time,we find that when Nash equilibrium exists the payoff function is usually different from that in the classical counterpart except in some special cases. This presents an explicit example showing quantum game and classical game may differ.When designing a quantum game with limited strategies, the allowed strategy should be carefully chosen according to the type of initial state. 相似文献
20.
CHENBo MAYing-Jun LONGGui-Lu 《理论物理通讯》2003,40(6):655-658
We study a quantum game played by two players with restricted multiple strategies. It is found that in this restricted quantum game Nash equilibrium does not always exist when the initial state is entangled. At the same time,we find that when Nasli equilibrium exists the payoff function is usually different from that in the classical counterpart except in some special cases. This presents an explicit example showing quantum game and classical game may differ.When designing a quantum game with limited strategies, the allowed strategy should be carefully chosen according to the type of initial state. 相似文献