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  • Articles: DFG German National Licenses  (3)
  • 2000-2004  (3)
  • 1980-1984
  • 2001  (3)
  • PACS. 64.60.-i General studies of phase transitions – 64.60.Fr Equilibrium properties near critical points, critical exponents – 75.40.-s Critical-point effects, specific heats, short-range order  (2)
  • PACS. 01.30.Cc Conference proceedings – 05.45.Tp Time series analysis – 05.65.+b Self-organized systems  (1)
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  • Articles: DFG German National Licenses  (3)
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  • 2000-2004  (3)
  • 1980-1984
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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 20 (2001), S. 493-501 
    ISSN: 1434-6036
    Keywords: PACS. 01.30.Cc Conference proceedings – 05.45.Tp Time series analysis – 05.65.+b Self-organized systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: This paper uses the development of multi-agent market models to present a unified approach to the joint questions of how financial market movements may be simulated, predicted, and hedged against. We first present the results of agent-based market simulations in which traders equipped with simple buy/sell strategies and limited information compete in speculatory trading. We examine the effect of different market clearing mechanisms and show that implementation of a simple Walrasian auction leads to unstable market dynamics. We then show that a more realistic out-of-equilibrium clearing process leads to dynamics that closely resemble real financial movements, with fat-tailed price increments, clustered volatility and high volume autocorrelation. We then show that replacing the `synthetic' price history used by these simulations with data taken from real financial time-series leads to the remarkable result that the agents can collectively learn to identify moments in the market where profit is attainable. Hence on real financial data, the system as a whole can perform better than random. We then employ the formalism of Bouchaud in conjunction with agent based models to show that in general risk cannot be eliminated from trading with these models. We also show that, in the presence of transaction costs, the risk of option writing is greatly increased. This risk, and the costs, can however be reduced through the use of a delta-hedging strategy with modified, time-dependent volatility structure.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 21 (2001), S. 251-268 
    ISSN: 1434-6036
    Keywords: PACS. 64.60.-i General studies of phase transitions – 64.60.Fr Equilibrium properties near critical points, critical exponents – 75.40.-s Critical-point effects, specific heats, short-range order
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We study the behavior of systems in which the interaction contains a long-range component that does not dominate the critical behavior. Such a component is exemplified by the van der Waals force between molecules in a simple liquid-vapor system. In the context of the mean spherical model with periodic boundary conditions we are able to identify, for temperatures close above T c, finite-size contributions due to the subleading term in the interaction that are dominant in this region decaying algebraically as a function of L. This mechanism goes beyond the standard formulation of the finite-size scaling but is to be expected in real physical systems. We also discuss other ways in which critical point behavior is modified that are of relevance for analysis of Monte Carlo simulations of such systems.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 23 (2001), S. 211-219 
    ISSN: 1434-6036
    Keywords: PACS. 64.60.-i General studies of phase transitions – 64.60.Fr Equilibrium properties near critical points, critical exponents – 75.40.-s Critical-point effects, specific heats, short-range order
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: The behavior of the bulk two-point correlation function G( ;T| d ) in d-dimensional system with van der Waals type interactions is investigated and its consequences on the finite-size scaling properties of the susceptibility in such finite systems with periodic boundary conditions is discussed within mean-spherical model which is an example of Ornstein and Zernike type theory. The interaction is supposed to decay at large distances r as r - (d + σ), with 2 〈 d 〈 4, 2 〈 σ 〈 4 and d + σ≤6. It is shown that G( ;T| d ) decays as r - (d - 2) for 1 ≪r≪ξ, exponentially for ξ≪r≪r *, where r * = (σ - 2)ξlnξ, and again in a power law as r - (d + σ) for r≫r *. The analytical form of the leading-order scaling function of G( ;T| d ) in any of these regimes is derived.
    Type of Medium: Electronic Resource
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