Abstract
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.
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References
Deutsch, D. (1997). The Fabric of Reality, Penguin, New York.
Feynman, R. P. (1982). Simulating physics with computers. International Journal of Theoretical Physics 21, 467.
Feynman, R. P. (1986). Quantum mechanical computers. Foundation of Physics 16, 507.
Iqbal, A. and Toor, A. H. (2001a). Evolutionary stable strategies in quantum games. Physics Letters A 280, 249.
Iqbal, A. and Toor, A. H. (2001b). Entaglment and dynamic stability of Nash equilibria in a symmetric game. Physics Letters A 286, 245.
Iqbal, A. and Toor, A. H. (2002a). Quantum mechanics gives stability to a Nash equilibrium. Physical Review A 65, 022306.
Iqbal, A. and Toor, A. H. (2002b). Backwards-induction outcome in a quantum game. Physical Review A 65, 052328.
Klarreich, E. (2001). Playing by quantum rules. Nature 414, 244.
Klarreich, E. (2002). Do minds play dice? Nature Science Update. Available: http://www.nature.com/7.html
Lambertini, L. (2000). Quantum mechanics and mathematical economics are isomorphic. Preprint, Available: http://www.dse.unibo.it/lamberti/johnvn.pdf
Marinatto, L. and Weber, T. (2000). A quantum approach to static games of complete information. Physics Letters A 272, 291.
Mayer, G. J. (2001). Editor's Note to Comlexity Digest 27(4). Available: http://www.comdig.org
Mendes, R. V. (2002). Quantum games and social norms. Preprint quantph/0208167.
Penrose, R. (1994). Shadows of the Mind, Cambridge University Press, Cambridge.
Piotrowski, E. W. and Sładkowski, J. (2001). Quantum-like approach to financial risk: Quantum anthropic principle. Acta Physica Polonica B 32, 3873.
Piotrowski, E. W. and Sładkowski, J. (2002a). Quantum bargaining games. Physica A 308, 391.
Piotrowski, E. W. and Sładkowski, J. (2002b). Quantum market games. Physica A 312, 208.
Piotrowski, E. W. and Sładkowski, J. (2003a). Quantum English auctions. Physica A 318, 496.
Piotrowski, E. W. and Sładkowski, J. (2003b). The merchandising mathematician model. Physica A 318, 496.
Shor, P. W. (1994). Algorithms for quantum computation: Discrete logarithms and factoring. In Proceedings of the 35th Symposium on Foundations of Computer Science, Santa Fe, S. Goldwasser, ed., IEEE Computer Society Press, Los Alamitos, p. 124.
Sładkowski, J (2003). Giffen paradoxes in quantum market games. Physica A 324, 234.
Vandersypen, L. M. K. et al. (2001). Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance. Nature 414, 883.
Velupillai, K. (2000). Computable Economics, the Arne Ryde Memorial Lectures, Oxford University Press, Oxford.
Waite, S. (2002). Quantum Investing, Texere Publishing, London.
Zellinger, A. (2000). The quantum centennial. Nature 408, 639.
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Piotrowski, E.W., Sładkowski, J. Trading by Quantum Rules: Quantum Anthropic Principle. International Journal of Theoretical Physics 42, 1101–1106 (2003). https://doi.org/10.1023/A:1025495128226
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DOI: https://doi.org/10.1023/A:1025495128226