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Mathematical structure of quantum decision theory. (English) Zbl 1201.91040


MSC:

91B06 Decision theory
91B80 Applications of statistical and quantum mechanics to economics (econophysics)
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[1] Dieudonné J., Foundations of Modern Analysis (2006) · Zbl 0122.29702
[2] von Neumann J., Theory of Games and Economic Behavior (1953) · Zbl 0053.09303
[3] Savage L. J., The Foundations of Statistics (1954) · Zbl 0055.12604
[4] DOI: 10.2307/1907921 · Zbl 0050.36801
[5] Camerer C. F., Advances in Behavioral Economics (2003) · Zbl 1019.91001
[6] DOI: 10.1007/978-1-4757-4286-2
[7] DOI: 10.1016/0370-1573(91)90024-G · Zbl 0978.91505
[8] Zeckhauser R., Capitalism and Society 1 pp 1–
[9] DOI: 10.1057/9780230226203.1192
[10] DOI: 10.2307/1884852
[11] DOI: 10.2307/1914185 · Zbl 0411.90012
[12] Shefrin H. M., A Behavioral Approach to Asset Pricing (2005)
[13] DOI: 10.1016/0167-2681(82)90008-7
[14] DOI: 10.1016/0304-4068(87)90022-X · Zbl 0632.90008
[15] DOI: 10.2307/1911053 · Zbl 0672.90011
[16] DOI: 10.1016/0304-4068(89)90018-9 · Zbl 0675.90012
[17] Cohen M., Revue d’Economie Politique 110 pp 631–
[18] DOI: 10.1007/s11238-007-9095-6 · Zbl 1142.91548
[19] Lindgren B. W., Elements of Decision Theory (1971)
[20] White D. I., Fundamentals of Decision Theory (1976) · Zbl 0381.90001
[21] Hastings N. A., Decision Networks (1978) · Zbl 0391.90034
[22] Rivett P., Model Building for Decision Analysis (1980) · Zbl 0267.90002
[23] Buchanan J. T., Discrete and Dynamic Decision Analysis (1982) · Zbl 0647.90003
[24] Marshall K. T., Decision Making and Forecasting (1995)
[25] Bather J., Decision Theory (2000)
[26] French S., Statistical Decision Theory (2000)
[27] Raiffa H., Applied Statistical Decision Theory (2000) · Zbl 0952.62008
[28] DOI: 10.1017/CBO9780511498602
[29] von Neumann J., Mathematical Foundations of Quantum Mechanics (1955) · Zbl 0064.21503
[30] Yukalov V. I., Philos. Sci. 18 pp 145–
[31] DOI: 10.1103/PhysRevLett.101.190402
[32] DOI: 10.1038/131457a0
[33] Bohr N., Erkenntniss 6 pp 293–
[34] DOI: 10.1016/j.jmp.2006.01.003 · Zbl 1186.91062
[35] DOI: 10.1063/1.1665962
[36] DOI: 10.1063/1.1666075
[37] DOI: 10.1063/1.1666144
[38] DOI: 10.1016/j.physleta.2008.09.053 · Zbl 1227.81109
[39] DOI: 10.1002/lapl.200910086
[40] DOI: 10.1140/epjb/e2009-00245-9 · Zbl 1188.81037
[41] Safra Z., Econometrica 76 pp 1143–
[42] DOI: 10.2307/1884324 · Zbl 1280.91045
[43] DOI: 10.1037/0033-295X.90.4.293
[44] Vioculescu D. V., Free Random Variables (1992)
[45] DOI: 10.2307/2369442 · JFM 12.0041.01
[46] DOI: 10.1007/978-1-4684-0121-9
[47] Dirac P. A. M., The Principles of Quantum Mechanics (1958) · Zbl 0080.22005
[48] Dirac P. A. M., Lectures on Quantum Field Theory (1967)
[49] von Neumann J., Composite Mathematics 6 pp 1–
[50] DOI: 10.1111/1467-9442.00059 · Zbl 0949.91538
[51] Dawkins R., The Selfish Gene (2006)
[52] Berberian S. K., Notes on Spectral Theory (1966) · Zbl 0138.39104
[53] DOI: 10.1016/S0370-1573(02)00266-1 · Zbl 0998.81014
[54] Nielsen M. A., Quantum Computation and Quantum Information (2000) · Zbl 1049.81015
[55] Williams C. P., Explorations in Quantum Computing (1998) · Zbl 1205.68156
[56] DOI: 10.1103/PhysRevLett.90.167905 · Zbl 1267.81051
[57] DOI: 10.1142/S021798490300497X · Zbl 1081.81513
[58] DOI: 10.1103/PhysRevA.68.022109
[59] DOI: 10.1007/978-3-662-02313-6
[60] Dixmier J., Les C* -Algèbres et Leurs Representations (1969)
[61] Emch G. G., Algebraic Methods in Statistical Mechanics and Quantum Field Theory (1972) · Zbl 0235.46085
[62] Feynman R. P., Quantum Mechanics and Path Integrals (1965) · Zbl 0176.54902
[63] DOI: 10.1142/S0217984991002021
[64] DOI: 10.1007/BF02723631
[65] DOI: 10.1007/BF02755191
[66] DOI: 10.1142/S0217979296001872 · Zbl 1229.82113
[67] DOI: 10.1016/S0378-4371(02)00783-5 · Zbl 0995.82002
[68] DOI: 10.1007/978-3-642-58304-9
[69] DOI: 10.1111/1467-937X.00099 · Zbl 0953.91002
[70] Malevergne Y., Extreme Financial Risks (2006) · Zbl 1093.62098
[71] Mendelson E., Introduction to Mathematical Logic (1963) · Zbl 0915.03002
[72] Feller W., Introduction to Probability Theory and Its Applications (1970)
[73] DOI: 10.1111/1468-0262.00158
[74] DOI: 10.1038/nature06841
[75] DOI: 10.1111/j.1467-9280.1992.tb00678.x
[76] DOI: 10.1016/0749-5978(86)90053-1
[77] DOI: 10.1002/bdm.525
[78] Bohr N., La Physique Atomique et la Connaissance Humaine (1961)
[79] DOI: 10.1126/science.236.4801.537 · Zbl 1226.91017
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