A New Analytical Model for the Analysis of Economic Processes


In this work it is presented a new powerful model, well checked in the last years with the analysis of the dynamics of nano-bio-structures. The model permits the detailed study of the dynamical evolution of systems also at macro-level, offering analytical relations concerning the velocity and the distance of an economic variable, so as its diffusion in time; it permits the analysis of economic processes in general. In this paper it will be focused in particular about economic cycles.

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P. Sia, "A New Analytical Model for the Analysis of Economic Processes," Theoretical Economics Letters, Vol. 3 No. 4, 2013, pp. 245-250. doi: 10.4236/tel.2013.34041.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] G. Dosi and R. R. Nelson, “An Introduction to Evolutionary Theories in Economics,” Journal of Evolutionary Economics, Vol. 4, No. 3, 1994, pp. 153-172. doi:10.1007/BF01236366
[2] J. T. Cuddington and C. M. Urzúa, “Trends and Cycles in the Net Barter Terms of Trade: A New Approach,” Economic Journal, Vol. 99, No. 396, 1989, pp. 426-442. doi:10.2307/2234034
[3] P. Di Sia, “Nature and Development of Econophysics: A Short Report,” Theoretical Economics Letters, Vol. 2, No. 2, 2012, pp. 183-185. doi:10.4236/tel.2012.22032
[4] “Measuring the Economy, a Primer on GDP and the National Income and Product Accounts,” 2007. www.bea.gov
[5] http://www.hm-treasury.gov.uk/data_gdp_backgd.htm
[6] http://it.wikipedia.org/wiki/File:GDP_EU_TOP_5.svg
[7] M. Hallet, “Economic Cycles and Development Aid: What Is the Evidence from the Past?” European Commission, Directorate-General for Economic and Financial Affairs, Issue 5, 2009.
[8] C. Cohen and E. D. Werker, “The Political Economy of ‘Natural’ Disasters,” Journal of Conflict Resolution, Vol. 52, No. 6, 2008, pp. 795-819. doi:10.1177/0022002708322157
[9] D. Bergholt and P. Lujala, “Climate-Related Natural Disasters, Economic Growth, and Armed Civil Conflict,” Journal of Peace Research, Vol. 49, No. 1, 2012, pp. 147-162. doi:10.1177/0022343311426167
[10] V. Zarnowitz and A. Ozyildirim, “Time Series Decomposition and Measurement of Business Cycles, Trends and Growth Cycles,” Journal of Monetary Economics, Vol. 53, No. 7, 2006, pp. 1717-1739. doi:10.1016/j.jmoneco.2005.03.015
[11] T. Puu, “Attractors, Bifurcations & Chaos: Nonlinear Phenomena in Economics,” Springer-Verlag, Berlin, Heidelberg, 2003.
[12] P. Kennedy, “A Guide to Econometrics,” 6th Edition, Wiley-Blackwell, Hoboken 2008.
[13] M. Verbeek, “A Guide to Modern Econometrics,” 4th Edition, Wiley, New York, 2012.
[14] T. Todorova, “Problems Book to Accompany Mathematics for Economists,” John Wiley & Sons, Inc., New York, 2012.
[15] A. M. Andreades, “History of the Bank of England,” 4th Edition, Frank Cass & Co. Ltd., London, 1966.
[16] J. Francis, “History of the Bank of England, Its Times and Traditions, from 1694 to 1844,” Banker’s Magazine, New York, 1862.
[17] D. F. Thompson, “John Stuart Mill and Representative Government,” Princeton University Press, Princeton, 1976.
[18] C. L. Evans and D. A. Marshall, “Fundamental Economic Shocks and the Macroeconomy,” Journal of Money, Credit and Banking, Vol. 41, No. 8, 2009, pp. 1515-1555. doi:10.1111/j.1538-4616.2009.00271.x
[19] W. Semmler, “On Nonlinear Theories of Economic Cycles and the Persistence of Business Cycles,” Mathematical Social Sciences, Vol. 12, No. 1, 1986, pp. 47-76. doi:10.1016/0165-4896(86)90047-8
[20] V. Velupillai, “Richard Goodwin: 1913-1996,” Economic Journal, Vol. 108, No. 450, 1998, pp. 1436-1449. doi:10.1111/1468-0297.00351
[21] J. R. Hicks, “Classics and Moderns: Vol. III of Collected Essays in Economic Theory,” Basil Blackwell, Oxford, 1983.
[22] P. Di Sia, “Classical and Quantum Transport Processes in Nano-Bio-Structures: A New Theoretical Model and Applications,” PhD Thesis, Verona University, 2011.
[23] P. Di Sia, “An Analytical transport Model for Nanomaterials,” Journal of Computational and Theoretical Nanoscience, Vol. 8, No. 1, 2011, pp. 84-89. doi:10.1166/jctn.2011.1663
[24] P. Di Sia, “An Analytical Transport Model for Nanomaterials: The Quantum Version,” Journal of Computational and Theoretical Nanoscience, Vol. 9, No. 1, 2012, pp. 31-34. doi:10.1166/jctn.2012.1992
[25] W. Rudin, “Real and Complex Analysis,” McGraw-Hill International Editions: Mathematics Series, McGraw-Hill Publishing Co., 1987.
[26] P. Di Sia, “New Theoretical Results for High Diffusive Nanosensors Based on ZnO Oxides,” Sensors and Transducers Journal, Vol. 122, No. 1, 2010, p. 1.
[27] P. Di Sia, “Oscillating Velocity and Enhanced Diffusivity of Nanosystems from a New Quantum Transport Model,” Journal of Nano Research, Vol. 16, 2011, pp. 49-54. doi:10.4028/www.scientific.net/JNanoR.16.49
[28] P. Di Sia, “A New Theoretical Method for Transport Processes in Nanosensoristics,” Journal of Nano Research, Vol. 20, 2012, pp. 143-149. doi:10.4028/www.scientific.net/JNanoR.20.143
[29] P. Di Sia, “Nanotechnology between Classical and Quantum Scale: Application of Anew Interesting Analytical Model,” Applied Surface Science, Vol. 5, No. 1, 2012, p. 1.
[30] P. Di Sia, “About the Influence of Temperature in Single-Walled Carbon Nanotubes: Details from a New Drude-Lorentz-Like Model,” Applied Surface Science, Vol. 275, 2013, pp. 384-388. doi:10.1016/j.apsusc.2012.10.132
[31] P. Di Sia, “A New Theoretical Model for the Dynamical Analysis of Nano-Bio-Structures,” Advances in Nano Research, Vol. 1, No. 1, 2013, p. 1.
[32] P. Di Sia, “Characteristics in Diffusion for High-Efficiency Photovoltaics Nanomaterials: An Interesting Analysis,” Journal of Green Science and Technology, 2013, in press.
[33] P. Di Sia, “A New Drude-Lorentz-Like Model for Relativistic Particles,” Accepted for “3rd International Conference on Theoretical Physics, Theoretical Physics and Its Application, Moscow, 24-28 June 2013.
[34] N. V. Smith, “Classical Generalization of the Drude Formula for the Optical Conductivity,” Physical Review, Vol. 64, No. 15, 2001, Article ID: 155106. doi:10.1103/PhysRevB.64.155106
[35] J. von Neumann and O. Morgenstern, “Theory of Games and Economic Behavior,” 60th-Anniversary Edition, Princeton University Press, Princeton, 2004.
[36] W. M. Saslow, “An Economic Analogy to Thermodynamics,” American Journal of Physics, Vol. 67, No. 12, 1999, p. 1239. doi:10.1119/1.19110
[37] A. Jakimowicz, “Catastrophes and Chaos in Business Cycle Theory,” Acta Physica Polonica A, Vol. 117, No. 4, 2002, p. 640.

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