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This paper was published as Romanian Journal of Economic Forecasting, 2008, 9 (1), pp. 41-58. It is also available from the journal website at http://www.ipe.ro/rjef.htm. This paper appears in the LRA with the permission of the Editor, Romanian Journal of Economic Forecasting.In this paper we provide first for a brief overview of some of the work which has been performed on the interface of quantum mechanics and macroscopic systems (such as economics). We then provide for an overview of how such quantum mechanical concepts can enter financial option pricing theory. We round off the paper with some suggestions on where this area of research can be heading in the near future

Publisher: Institute for Economic Forecasting

Year: 2008

OAI identifier:
oai:lra.le.ac.uk:2381/8568

Provided by:
Leicester Research Archive

Downloaded from
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- (in press). “Quantum games and their application in biology”,
- (1963). A definition of subjective probability”,
- (2006). A path integral approach to asset-liability management”,
- (2004). A preliminary evidence of quantum-like behaviour in measurements of mental states”
- (1952). A suggested interpretation of the quantum theory in terms of ‘hidden’ variables”, Part I and II;
- (2002). A theory of non-Gaussian option pricing”,
- (1978). Advanced mathematical methods for scientists and engineers ,
- (1999). An introduction to econophysics: correlations and complexity in finance”,
- (1992). An introduction to quantum stochastic calculus”,
- (2003). An invitation to quantum game theory”,
- (2006). An operatorial approach to stock markets”;
- (2005). Analytical solutions to the backward Kolmogorov PDE via an adiabatic approximation to the Schrödinger PDE”,
- (1999). Classical and quantum mechanics on information spaces with applications to cognitive, psychological, social and anomalous phenomena”,
- (2007). Classical and quantum randomness and the financial market”, arXiv: 0704.2865v1 [math.PR].
- (1989). Comparative statistics and non-expected utility preferences”,
- (1974). Core and equilibria of a large economy,
- (2005). Derivative pricing and hedging for incomplete markets: stochastic arbitrage and adaptive procedure for stochastic volatility”,
- (2004). Differentiating Ambiguity and Ambiguity Attitude”,
- (2006). Does probability interference exist in social science?”
- (1989). Dynamic consistency and non-expected utility models of choice under uncertainty”,
- (1967). Dynamical theories of Brownian motion”,
- (1971). Essays in the theory of risk bearing,
- (1987). Hidden Variables and the Implicate Order” in Quantum Implications: Essay in Honour of D. Bohm, edited by B. Hiley and F.Peat,
- (2004). Information dynamics in cognitive, psychological and anomalous phenomena”, Ser. Fundamental Theories of Physics,
- (1989). Maxmin Expected Utility with a Non-Unique Prior”
- (2007). Model of wealth and goods in a closed market”,
- Negotiating a market, performing a theory: the historical sociology of a financial derivatives exchange”,
- (1999). Nelsonian mechanics revisited”,
- (2006). Non-classical expected utility theory”, Preprint Paris-Jourdan Sciences Economiques.
- (2006). Non-classical measurement theory: a framework for the behavioral sciences”, arXiv:
- (1989). Non-locality and locality in the stochastic interpretation of quantum mechanics”,
- (1988). Notes on the theory of choice,
- (1951). On stochastic differential equations,
- (2005). On the classical limit in Bohm’s theory”,
- (2002). On the cognitive experiments to test quantum-like behavior of mind”
- (2004). Option pricing with Weyl-Titchmarsh theory”,
- (2001). Physics of Finance: Gauge Modeling in Non-Equilibrium Pricing,
- (2005). Pilot-wave theory and financial option pricing”,
- (2007). Private information and the ‘information function’: a survey of possible uses”, Theory and Decision,
- (2006). Projective Expected Utility”,
- (2006). Quantum Bohmian model for financial markets”,
- (2006). Quantum dynamics of human decision making”,
- (1999). Quantum economics, uncertainty and the optimal grid size”,
- (2004). Quantum Finance,
- (2002). Quantum finance: A quantum approach to stock price fluctuations”,
- (1999). Quantum games and quantum strategies”,
- (2007). Quantum information processing explanation for interactions between inferences and decisions”, Papers from the AAAI Spring Symposium
- (1984). Quantum IUto’s formula and stochastic evolutions”,
- (1998). Quantum mechanical and human violations of compound probability principles: Toward a generalized Heisenberg uncertainty principle”,
- (2007). Quantum mechanics and rational ignorance”,
- (2005). Resolving the trust predicament: a quantum game theoretic approach”,
- (1961). Risk, Ambiguity and the Savage Axioms”,
- (1999). Scaling and criticality in a stochastic multi-agent model of a financial market”,
- (2005). Stochastic arbitrage returns and its implications for option pricing”,
- (2000). Stochastic Processes: from Physics to Finance,
- (1999). Stochastic relaxational dynamics applied to finance: towards nonequilibrium option pricing theory”,
- (1998). The Black-Scholes pricing formula in the quantum context”,
- (2004). The cities: reactors of economic transactions”,
- (1999). The Entropy Law and the Economic Process,
- (1954). The Foundations of Statistics”,
- (2006). The generalized liar paradox: A quantum model and interpretation”.
- (2007). The importance of probability interference in social science: rationale and experiment”, to be submitted to
- (1974). The philosophy of quantum mechanics,
- (1973). The pricing of options and corporate liabilities”,
- (1993). The quantum theory of motion,
- (1993). The Undivided Universe,
- (1947). Theory of games and economic behavior,
- (1959). Theory of value: an axiomatic analysis of economic equilibrium,
- (2007). Toward quantum-like modeling of financial processes”,
- (1990). Understanding quantum physics”,

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