Multi-agent-based Order Book Model of financial markets
Tobias Preis, Sebastian Golke, Wolfgang Paul, and Johannes J. Schneider Europhysics Letters 75, 510-516 (2006) — We introduce a simple model for simulating financial markets, based on an order book, in which several agents trade one asset at a virtual exchange continuously. We show that a market trend, i.e. an asymmetric order flow of any type, leads to a non-trivial Hurst exponent for the price development, but not to "fat-tailed" return distributions. When one additionally couples the order entry depth to the prevailing trend, also the stylized empirical fact of "fat tails" can be reproduced by our Order Book Model.
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Selected Publications in Econophysics and Interdisciplinary Physics in 2004
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Mattedi A.P., Ramos F.M., Rosa R.R. & Mantegna R.N., Value-at-risk and Tsallis statistics: Risk analysis of the aerospace sector, Physica A 344, 554-561 (2004)
Duarte Queiros S.M., On the connection between ARCH time series and non-extensive statistical mechanics, Physica A 344, 619-625 (2004)
Kisiel J., Kowalski S., Popiel E., Ratuszna A., Kozusznik B. & Mielimaka S., Licentiate studies in econophysics at the University of Silesia, Physica A 344, 340-343 (2004)
Kaizoji T. & Kaizoji M., Power law for ensembles of stock prices, Physica A 344, 240-243 (2004)
Kaizoji T. & Kaizoji M., A mechanism leading from bubbles to crashes: The case of Japan's land market, Physica A 344, 138-141 (2004)
Ausloos M., Clippe P., Miskiewicz J. & Pekalski A., A (reactive) lattice-gas approach to economic cycles, Physica A 344, 1-7 (2004)
Mizuno T., Nakano T., Takayasu M. & Takayasu H., Traders' strategy with price feedbacks in financial market, Physica A 344, 330-334 (2004)
Aiba Y. & Hatano N., Triangular arbitrage in the foreign exchange market, Physica A 344, 174-177 (2004)
Mart T. & Surya Y., Statistical properties of the Indonesian Stock Exchange Index, Physica A 344, 198-202 (2004)
Sabatelli L. & Richmond P., A consensus-based dynamics for market volumes, Physica A 344, 62-66 (2004)
Gatti D.D., Di Guilmi C., Gaffeo E. & Gallegati M., Bankruptcy as an exit mechanism for systems with a variable number of components, Physica A 344, 8-13 (2004)
Wichard J.D., Merkwirth C. & Ogorzalek M., Detecting correlation in stock market, Physica A 344, 308-311 (2004)
Petroni F. & Serva M., Real prices from spot foreign exchange market, Physica A 344, 194-197 (2004)
Fujiwara Y., Aoyama H., Di Guilmi C., Souma W. & Gallegati M., Gibrat and pareto-zipf revisited with european firms, Physica A 344, 112-116 (2004)
Gnacinski P. & Makowiec D., Another type of log-periodic oscillations on Polish stock market, Physica A 344, 322-325 (2004)
Remer R. & Mahnke R., Application of Heston model and its solution to German DAX data, Physica A 344, 236-239 (2004)
Silva A.C., Prange R.E. & Yakovenko V.M., Exponential distribution of financial returns at mesoscopic time lags: A new stylized fact, Physica A 344, 227-235 (2004)
Queiros S.M.D., On anomalous distributions in intra-day financial time series and non-extensive statistical mechanics, Physica A 344, 279-283 (2004)
Repetowicz P. & Richmond P., Modeling share price evolution as a continuous time random walk (CTRW) with non-independent price changes and waiting times, Physica A 344, 108-111 (2004)
Remer R. & Mahnke R., Stochastic volatility models and their application to german dax data, Fluctuation and Noise Letters 4, - (2004)
Budaev V.P., Turbulence in magnetized plasmas and financial markets: Comparative study of multifractal statistics, Physica A 344, 299-307 (2004)
Kim K. & Yoon S.-M., Multifractal features of financial markets, Physica A 344, 272-278 (2004)
Challet D., Minority mechanisms in models of agents learning collectively a resource level, Physica A 344, 24-29 (2004)
Ohnishi T., Mizuno T., Aihara K., Takayasu M. & Takayasu H., Statistical properties of the moving average price in dollar-yen exchange rates, Physica A 344, 207-210 (2004)
Richards G.R., A fractal forecasting model for financial time series, Journal of Forecasting 23, 587-602 (2004)
McCauley J.L. & Kuffner C.M., Economic system dynamics, Discrete Dynamics in Nature and Society 2004, 213-220 (2004)
Orlowski A., Struzik Z.R., Syczewska E. & Zaluska-Kotur M.A., Fluctuation dynamics of exchange rates on polish financial market, Physica A 344, 184-189 (2004)
Rawal S. & Rodgers G.J., Growth and coagulation in a herding model, Physica A 344, 50-55 (2004)
Urbanowicz K. & Holyst J.A., Investment strategy due to the minimization of portfolio noise level by observations of coarse-grained entropy, Physica A 344, 284-288 (2004)
Helbing D., Lammer S., Seidel T., Seba P. & Platkowski T., Physics, stability & dynamics of supply networks, Physical Review E - Statistical, Nonlinear & Soft Matter Physics 70, 066116 (2004)
Cleuren B. & Van Den Broeck C., Optimizing strategies in the primary Parrondo paradox, Physical Review E - Statistical, Nonlinear & Soft Matter Physics 70, 067104 (2004)
Podobnik B., Ivanov P.Ch., Grosse I., Matia K. & Stanley H.E., ARCH-GARCH approaches to modeling high-frequency financial data, Physica A 344, 216-220 (2004)
Makowiec D., On modeling of inefficient market, Physica A 344, 36-40 (2004)
Carbone A., Castelli G. & Stanley H.E., Time-dependent Hurst exponent in financial time series, Physica A 344, 267-271 (2004)
Burda Z. & Jurkiewicz J., Signal and noise in financial correlation matrices, Physica A 344, 67-72 (2004)
Skornik-Pokarowska U. & Orlowski A., Application of the ultrametric distance to portfolio taxonomy. Critical approach and comparison with other methods, Physica A 344, 81-86 (2004)
Westerhoff F.H., Greed, fear and stock market dynamics, Physica A 343, 635-642 (2004)
Gontis V. & Kaulakys B., Multiplicative point process as a model of trading activity, Physica A 343, 505-514 (2004)
Ishikawa A. & Suzuki T., Relations between a typical scale and averages in the breaking of fractal distribution, Physica A 343, 376-392 (2004)
Kaizoji T., Inflation and deflation in financial markets, Physica A 343, 662-668 (2004)
Repetowicz P. & Richmond P., Modeling of waiting times and price changes in currency exchange data, Physica A 343, 677-693 (2004)
Miekisz J., Stochastic stability in spatial three-player games, Physica A 343, 175-184 (2004)
Eisler Z. & Kertesz J., Multifractal model of asset returns with leverage effect, Physica A 343, 603-622 (2004)
Burda Z., Jurkiewicz J., Nowak M.A., Papp G. & Zahed T., Free Levy matrices and financial correlations, Physica A 343, 694-700 (2004)
Burda Z., Gorlich A., Jarosz A. & Jurkiewicz J., Signal and noise in correlation matrix, Physica A 343, 295-310 (2004)
Zheng B., Ren F., Trimper S. & Zheng D.F., A generalized dynamic herding model with feed-back interactions, Physica A 343, 653-661 (2004)
Matos J.A.O., Gama S.M.A., Ruskin H.J. & Duarte J.A.M.S., An econophysics approach to the Portuguese Stock Index - PSI-20, Physica A 342, 665-676 (2004)
Klonowski W., Olejarczyk E. & Stepien R., 'Epileptic seizures' in economic organism, Physica A 342, 701-707 (2004)
Leonidov A., Long memory in stock trading, International Journal of Theoretical and Applied Finance 7, 879-885 (2004)
Darooneh A.H., Non-life insurance pricing: Multi-agent model, European Physical Journal B 42, 119-122 (2004)
Karpinska J., Malarz K. & Kulakowski K., How pairs of partners emerge in an initially fully connected society, International Journal of Modern Physics C 15, 1227-1233 (2004)
Montero M., Partial derivative approach for option pricing in a simple stochastic volatility model, European Physical Journal B 42, 141-153 (2004)
Sinha S. & Raghavendra S., Hollywood blockbusters and long-tailed distributions: An empirical study of the popularity of movies, European Physical Journal B 42, 293-296 (2004)
Lo T.S., Chan H.Y., Hui P.M. & Johnson N.F., Theory of networked minority games based on strategy pattern dynamics, Physical Review E - Statistical, Nonlinear & Soft Matter Physics 70, 056102 (2004)
Goldenberg J., Libai B., Louzoun Y., Mazursky D. & Solomon S., Inevitably reborn: The reawakening of extinct innovations, Technological Forecasting and Social Change 71, 881-896 (2004)
Field T., Harder U. & Harrison P., Network traffic behaviour in switched Ethernet systems, Performance Evaluation 58, 243-260 (2004)
Boitout N. & Ureche-Rangau L., Towards a multifractal paradigm of stochastic volatility?, International Journal of Theoretical and Applied Finance 7, 823-851 (2004)
Kimura M., Saito K. & Ueda N., Modeling share dynamics by extracting competition structure, Physica D 198, 51-73 (2004)
Miekisz J., Statistical mechanics of spatial evolutionary games, Journal of Physics A 37, 9891-9906 (2004)
Gleria I., Figueiredo A., Matsushita R., Rathie P. & Da Silva S., Exponentially damped Levy flights, multiscaling and slow convergence in stockmarkets, Physica A 342, 200-206 (2004)
Iglesias J.R., Goncalves S., Abramson G. & Vega J.L., Correlation between risk aversion and wealth distribution, Physica A 342, 186-192 (2004)
Pianegonda S. & Iglesias J.R., Inequalities of wealth distribution in a conservative economy, Physica A 342, 193-199 (2004)
Bertram W.K., An empirical investigation of Australian Stock Exchange data, Physica A 341, 533-546 (2004)
Miekisz J., Stochastic stability in spatial games, Journal of Statistical Physics 117, 99-110 (2004)
Kim K., Yoon S.-M. & Kim Y., Herd behaviors in the stock and foreign exchange markets, Physica A 341, 526-532 (2004)
Hatamian S.T., Diagrammatic computation of the random flight motion, Physica A 341, 401-432 (2004)
Jensen M.H., Johansen A., Petroni F. & Simonsen I., Inverse statistics in the foreign exchange market, Physica A 340, 678-684 (2004)
Ruttor A., Reents G. & Kinzel W., Synchronization of random walks with reflecting boundaries, Journal of Physics A 37, 8609-8618 (2004)
Gligor M., An empirical study on the statistical properties of Romanian emerging stock market RASDAQ, International Journal of Theoretical and Applied Finance 7, 723-739 (2004)
Westerhoff F.H., Market depth and price dynamics: A note, International Journal of Modern Physics C 15, 1005-1012 (2004)
Han D.-D., Liu J.-G., Ma Y.-G., Cai X.-Z. & Shen W.-Q., Scale-free download network for publications, Chinese Physics Letters 21, 1855-1857 (2004)
Patriarca M., Chakraborti A. & Kaski K., Gibbs versus non-Gibbs distributions in money dynamics, Physica A 340, 334-339 (2004)
Amaya M., Sosa E., Romero J.M., Alvarez-Ramirez J., Meraz M. & Puebla H., Multifractality in an electrochemical noise signal by a biocorrosion system, Fractals 12, 347-354 (2004)
Pan C.P., Zheng B., Wu Y.Z., Wang Y. & Tang X.W., Detrended fluctuation analysis of human brain electroencephalogram, Physics Letters, Section A 329, 130-135 (2004)
Ausloos M., Miskiewicz J. & Sanglier M., The durations of recession and prosperity: Does their distribution follow a power or an exponential law?, Physica A 339, 548-558 (2004)
Caridi I. & Ceva H., The minority game with interactions, Physica A 339, 574-582 (2004)
Inaoka H., Takayasu H., Shimizu T., Ninomiya T. & Taniguchi K., Self-similarity of banking network, Physica A 339, 621-634 (2004)
Dubovikov M.M., Starchenko N.V. & Dubovikov M.S., Dimension of the minimal cover and fractal analysis of time series, Physica A 339, 591-608 (2004)
Argollo De Menezes M. & Barabasi A.-L., Separating internal and external dynamics of complex systems, Physical Review Letters 93, 068701 (2004)
Metzler R. & Klafter J., The restaurant at the end of the random walk: Recent developments in the description of anomalous transport by fractional dynamics, Journal of Physics A 37, - (2004)
Maslov V.P., Integral equations and phase transitions in stochastic games. An analogy with statistical physics, Theory of Probability and its Applications 48, 359-367 (2004)
Di Matteo T., Aste T. & Mantegna R.N., An interest rates cluster analysis, Physica A 339, 181-188 (2004)
Di Matteo T., Airoldi M. & Scalas E., On pricing of interest rate derivatives, Physica A 339, 189-196 (2004)
Boguna M. & Masoliver J., Conditional dynamics driving financial markets, European Physical Journal B 40, 347-352 (2004)
Farmer J.D., Gillemot L., Lillo F., Mike S. & Sen A., What really causes large price changes?, Quantitative Finance 4, 383-397 (2004)
De Martino A., Giardina I., Tedeschi A. & Marsili M., Generalized minority games with adaptive trend-followers and contrarians, Physical Review E - Statistical, Nonlinear & Soft Matter Physics 70, 025104 (2004)
Ma W.-J., Hu C.-K. & Amritkar R.E., Stochastic dynamical model for stock-stock correlations, Physical Review E - Statistical, Nonlinear & Soft Matter Physics 70, 026101 (2004)
Singh R. & Raj B., Classification in likelihood spaces, Technometrics 46, 318-329 (2004)
Field A.J., Harder U. & Harrison P.G., Measurement and modelling of self-similar traffic in computer networks, IEE Proceedings 151, 355-363 (2004)
Utsugi A., Ino K. & Oshikawa M., Random matrix theory analysis of cross correlations in financial markets, Physical Review E - Statistical, Nonlinear & Soft Matter Physics 70, 026110 (2004)
Mills T.C., Statistical analysis of daily gold price data, Physica A 338, 559-566 (2004)
Clark A., Evidence of log-periodicity in corporate bond spreads, Physica A 338, 585-595 (2004)
Bernabe A., Martina E., Alvarez-Ramirez J. & Ibarra-Valdez C., A multi-model approach for describing crude oil price dynamics, Physica A 338, 567-584 (2004)
Morelli M.J., Montagna G., Nicrosini O., Treccani M., Farina M. & Amato P., Pricing financial derivatives with neural networks, Physica A 338, 160-165 (2004)
Garlaschelli D. & Loffredo M.I., Wealth dynamics on complex networks, Physica A 338, 113-118 (2004)
Lillo F. & Mantegna R.N., Dynamics of a financial market index after a crash, Physica A 338, 125-134 (2004)
Quan H.-J., Hui P.M., Xu C. & Yip K.F., Evolutionary minority game wtih multiple options, Physical Review E - Statistical, Nonlinear & Soft Matter Physics 70, 016119 (2004)
Hod S. & Keshet U., Phase transition in random walks with long-range correlations, Physical Review E - Statistical, Nonlinear & Soft Matter Physics 70, 015104 (2004)
Palma W. & Zevallos M., Analysis of the correlation structure of square time series, Journal of Time Series Analysis 25, 529-550 (2004)
Chen Q., Wang Y., Liu J.-T. & Wang K.-L., N-player quantum minority game, Physics Letters, Section A 327, 98-102 (2004)
Gzyl H. & Villasana M., A perturbative approach for reconstructing diffusion coefficients, Applied Mathematics and Computation 154, 1-15 (2004)
Scafetta N., Picozzi S. & West B.J., A trade-investment model for distribution of wealth, Physica D 193, 338-352 (2004)
Zhou W.-X. & Sornette D., Causal slaving of the US treasury bond yield antibubble by the stock market antibubble of August 2000, Physica A 337, 586-608 (2004)
Niwa H.-S., Space-irrelevant scaling law for fish school sizes, Journal of Theoretical Biology 228, 347-357 (2004)
Ramirez-Rojas A., Pavia-Miller C.G. & Angulo-Brown F., Statistical behavior of the spectral exponent and the correlation time of electric self-potential time series associated to the Ms=7.4 September 14, 1995 earthquake in Mexico, Physics and Chemistry of the Earth 29, 305-312 (2004)
Maslov V.P., Nonlinear financial averaging, the evolution process & laws of econophysics, Theory of Probability and its Applications 49, 221-244 (2004)
Fujiwara Y., Zipf law in firms bankruptcy, Physica A 337, 219-230 (2004)
Ausloos M., Clippe P. & Pekalski A., Model of macroeconomic evolution in stable regionally dependent economic fields, Physica A 337, 269-287 (2004)
Suzuki T., Ikeguchi T. & Suzuki M., A model of complex behavior of interbank exchange markets, Physica A 337, 196-218 (2004)
Zhou W.-X. & Sornette D., Antibubble and prediction of China's stock market and real-estate, Physica A 337, 243-268 (2004)
Hod S. & Nakar E., Evolutionary minority game: The roles of response time and mutation threshold, Physical Review E - Statistical, Nonlinear & Soft Matter Physics 69, 066122 (2004)
Toyli J., Sysi-Aho M. & Kaski K., Models of asset returns: Changes of pattern from high to low event frequency, Quantitative Finance 4, 373-382 (2004)
Delli Gatti D., Di Guilmi C., Gaffeo E., Giulioni G., Gallegati M. & Palestrini A., Business cycle fluctuations and firms' size distribution dynamics, Advances in Complex Systems 7, 223-240 (2004)
Bartiromo R., Dynamics of stock prices, Physical Review E - Statistical, Nonlinear & Soft Matter Physics 69, 067108 (2004)
Figueiredo A., Gleria I., Matsushita R. & Da Silva S., Autocorrelation and the sum of stochastic variables, Physics Letters, Section A 326, 166-170 (2004)
Kaizoji T. & Kaizoji M., Power law for the calm-time interval of price changes, Physica A 336, 563-570 (2004)
Ausloos M., Ivanova K. & Siwy Z., Searching for self-similarity in switching time and turbulent cascades in ion transport through a biochannel. A time delay asymmetry, Physica A 336, 319-333 (2004)
Cajueiro D.O. & Tabak B.M., The Hurst exponent over time: Testing the assertion that emerging markets are becoming more efficient, Physica A 336, 521-537 (2004)
Pushkin D.O. & Aref H., Bank mergers as scale-free coagulation, Physica A 336, 571-584 (2004)
Sokolov I.M., Chechkin A.V. & Klafter J., Fractional diffusion equation for a power-law-truncated Levy process, Physica A 336, 245-251 (2004)
Parish L.M., Worrell G.A., Cranstoun S.D., Stead S.M., Pennell P. & Litt B., Long-range temporal correlations in epileptogenic and non-epileptogenic human hippocampus, Neuroscience 125, 1069-1076 (2004)
Stauffer D., Introduction to statistical physics outside physics, Physica A 336, 1-5 (2004)
Grech D. & Mazur Z., Can one make any crash prediction in finance using the local Hurst exponent idea?, Physica A 336, 133-145 (2004)
Miskiewicz J. & Ausloos M., A logistic map approach to economic cycles. (I). The best adapted companies, Physica A 336, 206-214 (2004)
Weron R., Bierbrauer M. & Truck S., Modeling electricity prices: Jump diffusion and regime switching, Physica A 336, 39-48 (2004)
Broszkiewicz-Suwaj E., Makagon A., Weron R. & Wylomanska A., On detecting and modeling periodic correlation in financial data, Physica A 336, 196-205 (2004)
Ohtsuki T., Fujihara A. & Yamamoto H., Effects of randomness on power law tails in multiplicatively interacting stochastic processes, Physics Letters, Section A 324, 378-382 (2004)
Anazawa M., Ishikawa A., Suzuki T. & Tomoyose M., Fractal structure with a typical scale, Physica A 335, 616-628 (2004)
Sharifi S., Crane M., Shamaie A. & Ruskin H., Random matrix theory for portfolio optimization: A stability approach, Physica A 335, 629-643 (2004)
Fujiwara Y., Di Guilmi C., Aoyama H., Gallegati M. & Souma W., Do Pareto-Zipf and Gibrat laws hold true? An analysis with European firms, Physica A 335, 197-216 (2004)
Chatterjee A., Chakrabarti B.K. & Manna S.S., Pareto law in a kinetic model of market with random saving propensity, Physica A 335, 155-163 (2004)
Li Y. & Savit R., Toward a theory of local resource competition: The minority game with private information, Physica A 335, 217-239 (2004)
Kaizoji T., Intermittent chaos in a model of financial markets with heterogeneous agents, Chaos, Solitons and Fractals 20, 323-327 (2004)
Bouchaud J.-P., Gefen Y., Potters M. & Wyart M., Fluctuations and response in financial markets: The subtle nature of 'random' price changes, Quantitative Finance 4, 176-190 (2004)
Chen H., Sun X., Wu Z. & Wang B., Enlightenment from various conditional probabilities about Hang Seng index in Hong Kong stock market, Physica A 335, 183-196 (2004)
Volman V., Baruchi I., Persi E. & Ben-Jacob E., Generative modelling of regulated dynamical behavior in cultured neuronal networks, Physica A 335, 249-278 (2004)
Lehnert T. & Wolff C.C.P., Scale-consistent Value-at-Risk, Finance Research Letters 1, 127-134 (2004)
Wang H. & Pandey R.B., Momentum analysis of DJI stocks near sharp rise, crash & consolidation, Physica A 334, 524-530 (2004)
Borges E.P., Empirical nonextensive laws for the county distribution of total personal income and gross domestic product, Physica A 334, 255-266 (2004)
Bonanno G., Caldarelli G., Lillo F., Micciche S., Vandewalle N. & Mantegna R.N., Networks of equities in financial markets, European Physical Journal B 38, 363-371 (2004)
Di Guilmi C., Gallegati M. & Ormerod P., Scaling invariant distributions of firms' exit in OECD countries, Physica A 334, 267-273 (2004)
Battiston S. & Catanzaro M., Statistical properties of corporate board and director networks, European Physical Journal B 38, 345-352 (2004)
Banavar J.R., De Los Rios P., Flammini A., Holter N.S. & Maritan A., Scale-free behavior and universality in random fragmentation and aggregation, Physical Review E - Statistical, Nonlinear & Soft Matter Physics 69, 036123 (2004)
Barabasi A.-L., De Menezes M.A., Balensiefer S. & Brockman J., Hot spots and universality in network dynamics, European Physical Journal B 38, 169-175 (2004)
Tadic B., Thurner S. & Rodgers G.J., Traffic on complex networks: Towards understanding global statistical properties from microscopic density fluctuations, Physical Review E - Statistical, Nonlinear & Soft Matter Physics 69, 036102 (2004)
Parrondo J.M.R. & Dinis L., Brownian motion and gambling: From ratchets to paradoxical games, Contemporary Physics 45, 147-157 (2004)
Krause A., Predicting crashes in a model of evolving networks, Complexity 9, 24-30 (2004)
Perello J., Masoliver J. & Bouchaud J.-P., Multiple time scales in volatility and leverage correlations: A stochastic volatility model, Applied Mathematical Finance 11, 27-50 (2004)
Balankin A.S., Matamoros O.M., Ernesto G.M. & Alfonso P.A., Crossover from antipersistent to persistent behavior in time series possessing the generalyzed dynamic scaling law, Physical Review E - Statistical, Nonlinear & Soft Matter Physics 69, 036121 (2004)
Hawkins R.J. & Frieden B.R., Fisher information and equilibrium distributions in econophysics, Physics Letters, Section A 322, 126-130 (2004)
Liu X., Liang X. & Tang B., Minority game and anomalies in financial markets, Physica A 333, 343-352 (2004)
Razdan A., Wavelet correlation coefficient of 'strongly correlated' time series, Physica A 333, 335-342 (2004)
Zhuang X.-T., Huang X.-Y. & Sha Y.-L., Research on the fractal structure in the Chinese stock market, Physica A 333, 293-305 (2004)
Di Guilmi C., Gaffeo E. & Gallegati M., Empirical results on the size distribution of business cycle phases, Physica A 333, 325-334 (2004)
Selcuk F., Financial earthquakes, aftershocks and scaling in emerging stock markets, Physica A 333, 306-316 (2004)
Matsushita R., Gleria I., Figueiredo A., Rathie P. & Da Silva S., Exponentially damped Levy flights, multiscaling & exchange rates, Physica A 333, 353-369 (2004)
Takahashi H., Ehrenfest model with large jumps in finance, Physica D 189, 61-69 (2004)
Trimper S. & Zabrocki K., Delay-controlled reactions, Physics Letters, Section A 321, 205-215 (2004)
Mizuno T., Takayasu M. & Takayasu H., The mean-field approximation model of company's income growth, Physica A 332, 403-411 (2004)
Ausloos M., Clippe P. & Pekalski A., Evolution of economic entities under heterogeneous political/environmental conditions within a Bak-Sneppen-like dynamics, Physica A 332, 394-402 (2004)
Kamimura A., Guerra S.M.G. & Sauer I.L., Looking for non-linear relation evidences between Brazilian gross domestic product (GDP) and fixed capital stock (K), Physica A 332, 461-468 (2004)
Chau H.F., Chow F.K. & Ho K.H., Minority game with peer pressure, Physica A 332, 483-495 (2004)
Challet D., Marsili M. & Ottino G., Shedding light on El Farol, Physica A 332, 469-482 (2004)
Ho D.-S., Lee C.-K., Wang C.-C. & Chuang M., Scaling characteristics in the Taiwan stock market, Physica A 332, 448-460 (2004)
Malevergne Y. & Sornette D., Collective origin of the coexistence of apparent random matrix theory noise and of factors in large sample correlation matrices, Physica A 331, 660-668 (2004)
Wang H. & Pandey R.B., A momentum trading approach to technical analysis of Dow Jones industrials, Physica A 331, 639-650 (2004)
Antoniou I., Ivanov Vi.V., Ivanov Va.V. & Zrelov P.V., On the log-normal distribution of stock market data, Physica A 331, 617-638 (2004)
Eliazar I., Doubling an investment, Physica A 331, 240-252 (2004)
Piotrowski E.W. & Sladkowski J., Arbitrage risk induced by transaction costs, Physica A 331, 233-239 (2004)
Alvarez-Ramirez J. & Ibarra-Valdez C., Finite-time singularities in the dynamics of Mexican financial crises, Physica A 331, 253-268 (2004)
Takahashi H. & Itoh Y., Majority orienting model for the oscillation of market price, European Physical Journal B 37, 271-274 (2004)
De Martino A., Marsili M. & Mulet R., Adaptive drivers in a model of urban traffic, Europhysics Letters 65, 283-289 (2004)
Kim K. & Yoon S.-M., Multifractal measures for bond futures prices in futures exchange market, Journal of the Physical Society of Japan 73, 49-52 (2004)
Yang C.-B., Stability of the Distribution in a Money Exchange Model, Chinese Physics Letters 21, 215-218 (2004)
Arvanitis S. & Demos A., Time dependence and moments of a family of time-varying parameter garch in mean models, Journal of Time Series Analysis 25, 1-25 (2004)
Aruka Y., How to measure social interactions via group selection? Cultural group selection, coevolutionary processes & large-scale cooperation: A comment, Journal of Economic Behavior and Organization 53, 41-47 (2004)
Cherny A.S. & Maslov V.P., On minimization and maximization of entropy in various disciplines, Theory of Probability and its Applications 48, 447-464 (2004)
Jimenez S., Pascual P., Aguirre C. & Vazquez L., A panoramic view of some perturbed nonlinear wave equations, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 14, 1-40 (2004)