References

Accardi, L.; Boukas, A. (2007). The quantum Black-Scholes equation; GJ-PAM; 2 (2):
155-170.

Aerts, D., Amira, H., D.Hooghe, B., Posiewnik, A. and Pykacz, J. (in press). “Quantum
games and their application in biology”, Foundations of Science.

Anscombe, F., Aumann, R. (1963). “A definition of subjective probability”, Annals of
Mathematical Statistics; 34: 199-205.

Ar. B. (2005). “Resolving the trust predicament: a quantum game theoretic approach”,
Theory and Decision, 59 (2): 127-174.

Arrow, K. (1971). Essays in the theory of risk bearing, North Holland.

Ausloos, M., Pekalski, A. (2007). ” Model of wealth and goods in a closed market”,
Physica A, 373: 560-568.

Baaquie, B. (2004). Quantum Finance, Cambridge University Press, Cambridge.

Bacciagaluppi, G. (1999). “Nelsonian mechanics revisited”, Foundations of Physics
Letters 12 (1): 1-16.
Elementary Quantum Mechanical Principles and Social Science
Romanian Journal of Economic Forecasting – 1/2008 55

Bagarello, F. (2006). “An operatorial approach to stock markets”; Journal of Physics A,
39: 6823-6840.

Bender, D. and Orszag, S. (1978). Advanced mathematical methods for scientists
and engineers , McGraw-Hill.

Black, F., Scholes, M. (1973). “The pricing of options and corporate liabilities”,
Journal of Political Economy; 81: 637-654.

Bohm, D. (1952). “ A suggested interpretation of the quantum theory in terms of
‘hidden’ variables”, Part I and II; Physical Review 85: 166-193.

Bohm, D. and Hiley, B. (1993). The Undivided Universe, New York: Routledge, 1-
397.

Bohm, D. (1987). “Hidden Variables and the Implicate Order” in Quantum
Implications: Essay in Honour of D. Bohm, edited by B. Hiley and
F.Peat, New York: Routledge, 33-45.

Bohm, D. and Hiley B. (1989). “Non-locality and locality in the stochastic interpretation
of quantum mechanics”, Physics Reports 172 (3): 93-122.

Bordley, R.F. (1998). “Quantum mechanical and human violations of compound
probability principles: Toward a generalized Heisenberg uncertainty
principle”, Operations Research 46: 923-926.

Borland, L. (2002).” A theory of non-Gaussian option pricing”, Quantitative Finance; 2:
415-431.

Bowman, G. (2005). “On the classical limit in Bohm’s theory”, Foundations of Physics
35 (4): 605-625.

Broekaert, J., Aerts, D. and D.Hooghe, B. (2006); “The generalized liar paradox: A
quantum model and interpretation”. Foundations of Science 11 (4):
399-418.

Busemeyer, J. and Wang, Z. (2007). “Quantum information processing explanation
for interactions between inferences and decisions”, Papers from the
AAAI Spring Symposium (Stanford University); 91-97.

Busemeyer ,J. and Wang, Z and Townsend, J.T. (2006). “Quantum dynamics of
human decision making”, Journal of Mathematical Psychology 50 (3):
220-241.

Choustova, O. (2006).” Quantum Bohmian model for financial markets”, Physica A,
374: 304-314.

Choustova, O. (2007). “Toward quantum-like modeling of financial processes”,
Journal of Physics: Conference Series 70 (38pp)

Conte, E., Todarello, O., Federici, A., Vitiello, F., Lopane, M., Khrennikov, A. (2004).
“A preliminary evidence of quantum-like behaviour in measurements
of mental states” Proc. Int. Conf. Quantum Theory: Reconsideration of
Foundations. Ser. Math. Modeling in Phys., Engin., and Cogn. Sc.,
vol. 10: 679-702, Växjö Univ. Press.

Danilov, V.I. and Lambert-Mogiliansky, A. (2006a). “Non-classical expected utility
theory”, Preprint Paris-Jourdan Sciences Economiques.
Institute of Economic Forecasting
Romanian Journal of Economic Forecasting – 1/2008 56

Danilov, V.I. and Lambert-Mogiliansky, A. (2006b). “Non-classical measurement
theory: a framework for the behavioral sciences”, arXiv:
physics/0604051.

Debreu, G. (1959). Theory of value: an axiomatic analysis of economic equilibrium, J.
Wiley.

Decamps, M. and De Schepper, A. and Goovaerts, M. (2006). “A path integral
approach to asset-liability management”, Physica A, 363: 404-416.

Eisert, J. and Wilkens, M. and Lewenstein, M. (1999). “Quantum games and quantum
strategies”, Physical Review Letters, 83: 3077-3080.

Ellsberg, D. (1961). “ Risk, Ambiguity and the Savage Axioms”, Quarterly Journal of
Economics, 75: 643-669.

Fedotov, S. and Panayides, S. (2005). “Stochastic arbitrage returns and its
implications for option pricing”, Physica A 345: 207-217.

Franco, R. (2007). “ Quantum mechanics and rational ignorance”,
arXiv:physics/0702163v1

Georgescu-Roegen, N. (1999). The Entropy Law and the Economic Process, Harvard
University Press.

Ghirardato, P., Maccheroni, F. and Marinacci, M. (2004). “Differentiating Ambiguity and
Ambiguity Attitude”, Journal of Economic Theory, 118: 133-173.

Gilboa, I. and Schmeidler, D. (1989). “Maxmin Expected Utility with a Non-Unique
Prior” Journal of Mathematical Economics, 18: 141-153.

Haven, E. (2005a). “ Analytical solutions to the backward Kolmogorov PDE via an
adiabatic approximation to the Schrödinger PDE”, Journal of
Mathematical Analysis and Applications, 311: 439-444.

Haven, E. (2005b). “Pilot-wave theory and financial option pricing”, International
Journal of Theoretical Physics , 44 (11): 1957-1962.

Haven, E. (2007). “Private information and the ‘information function’: a survey of
possible uses”, Theory and Decision, forthcoming.

Hildenbrand, W. (1974). Core and equilibria of a large economy, Princeton University
Press.

Holland, P. (1993). The quantum theory of motion, Cambridge University Press.

Hudson, R. L., Parthasarathy, K. R. (1984). “Quantum IUto’s formula and stochastic
evolutions”, Comm. Math. Phys., 93; 301-323.

Ilinski, K. (2001). Physics of Finance: Gauge Modeling in Non-Equilibrium Pricing, J.
Wiley.

Itô, K. (1951). “On stochastic differential equations, Memoirs”, American Mathematical
Society, 4: 1-51.

Jammer, M. (1974). The philosophy of quantum mechanics, J. Wiley, NY, USA.

Khrennikov, A. Yu. (1999). “Classical and quantum mechanics on information spaces
with applications to cognitive, psychological, social and anomalous
phenomena”, Foundations of Physics, 29: 1065-1098.

Khrennikov, A. (2002). “On the cognitive experiments to test quantum-like behavior of
mind” Reports from Växjö University - Mathematics, Natural Sciences
and Technology, Nr. 7.

Khrennikov, A. (2004). “Information dynamics in cognitive, psychological and
anomalous phenomena”, Ser. Fundamental Theories of Physics,
v.138, Kluwer, Dordrecht.

Khrennikov, A. (2007). “Classical and quantum randomness and the financial
market”, arXiv: 0704.2865v1 [math.PR].

Khrennikov, A., Haven, E. (2006). “Does probability interference exist in social
science?” Foundations of Probability and Physics -4 (G. Adenier,
A.Khrennikov, C. Fuchs - Eds), AIP Conference Proceedings; 899:
299-309.

Khrennikov, A., Haven, E. (2007). ”The importance of probability interference in social
science: rationale and experiment”, to be submitted to Journal of
Mathematical Psychology.

Kreps, D. (1988). Notes on the theory of choice, Westview Press (Colorado-Boulder).

La Mura, P. (2006). “Projective Expected Utility”, Mimeo, Leipzig, Graduate School of
Management.

Li, Y. and Zhang, J.E. (2004). “Option pricing with Weyl-Titchmarsh theory”,
Quantitative Finance, 4: 457-464.

Lux, Th., Marchesi, M. (1999). “Scaling and criticality in a stochastic multi-agent
model of a financial market”, Nature; 397: 498-500.

Machina, M. (1989). “Comparative statistics and non-expected utility preferences”,
Journal of Economic Theory; 47 (2): 393-405.

Machina, M. (1989). “Dynamic consistency and non-expected utility models of choice
under uncertainty”, Journal of Economic Literature; 27 (4): 1622-1668.

MacKenzie, D. and Millo, Y., “Negotiating a market, performing a theory: the historical
sociology of a financial derivatives exchange”, American Journal of
Sociology; 109: 107-145.

Mantegna, R., Stanley, H. E. (1999). “An introduction to econophysics: correlations
and complexity in finance”, Cambridge University Press

Morrison M. (1990). “Understanding quantum physics”, Prentice-Hall.

Nelson, E. (1967). “Dynamical theories of Brownian motion”, Princeton University
Press.

Otto, M. (1999). “Stochastic relaxational dynamics applied to finance: towards nonequilibrium
option pricing theory”, European Physical Journal B 14:
383-394.

Parthasarathy, K. R. (1992). “An introduction to quantum stochastic calculus”,
Birkhauser-Boston.

Panayides, S. : (2005). “Derivative pricing and hedging for incomplete markets:
stochastic arbitrage and adaptive procedure for stochastic volatility”,
Ph.D. Thesis, The School of Mathematics, University of Manchester.
Institute of Economic Forecasting
Romanian Journal of Economic Forecasting – 1/2008 58

Paul, W., Baschnagel, J. (2000). Stochastic Processes: from Physics to Finance,
Springer Verlag.

Piotrowski, E.W. and Sladkowski, J. (2003). “An invitation to quantum game theory”,
International Journal of Theoretical Physics, 42: 1089-1099

Purica, I. (2004). “The cities: reactors of economic transactions”, Romanian Journal of
Economic Forecasting; 1 (2): 20-37.

Savage, L.J. ” The Foundations of Statistics”, NY, Wiley, 1954.

Schaden, M. (2002). “Quantum finance: A quantum approach to stock price
fluctuations”, Physica A, 316, 511.

Segal, W. and Segal, I.E. (1998). “The Black-Scholes pricing formula in the quantum
context”, Proceedings of the National Academy of Sciences of the
USA, 95: 4072-4075.

Shubik, M.: (1999). “Quantum economics, uncertainty and the optimal grid size”,
Economics Letters, 64 (3): 277-278.

Von Neumann, J., Morgenstern O. (1947). Theory of games and economic behavior,
Princeton University Press.