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2020 | OriginalPaper | Chapter

1. Parametric Control of Macroeconomic Systems: Basic Components of Theory

Authors : Abdykappar A. Ashimov, Yuriy V. Borovskiy, Dmitry A. Novikov, Bakyt T. Sultanov, Mukhit A. Onalbekov

Published in: Macroeconomic Analysis and Parametric Control of a Regional Economic Union

Publisher: Springer International Publishing

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Abstract

As is well-known [1, 6, 12], the applicability of computer simulations with mathematical models to real systems is connected with the sensitivity of simulation results based on such a model to its small changes (in some sense) or to small changes of its exogenous variables. For example, a small change of an autonomous dynamic model can be represented as a small variation of a corresponding vector field (continuous-time systems) or of an invertible mapping (discrete-time systems); a small change of an arbitrary mathematical model can be represented as a small variation of the mappings defined by it.

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Literature
1.
go back to reference Arnold VI (1988) Geometrical methods in the theory of ordinary differential equations. Springer-Verlag, New YorkCrossRef Arnold VI (1988) Geometrical methods in the theory of ordinary differential equations. Springer-Verlag, New YorkCrossRef
2.
go back to reference Arnold VI, Gusein-Zade SM, Varchenko AN (1985) Singularities of differential maps. Volume I. Birkhauser, Boston, Basel, StuttgartCrossRef Arnold VI, Gusein-Zade SM, Varchenko AN (1985) Singularities of differential maps. Volume I. Birkhauser, Boston, Basel, StuttgartCrossRef
3.
go back to reference Ashimov AA, Sultanov BT, Adilov ZM, Borovskiy YV, Novikov DA, Alshanov RA, Ashimov AA (2013) Macroeconomic analysis and parametrical control of a national economy. Springer, New YorkCrossRef Ashimov AA, Sultanov BT, Adilov ZM, Borovskiy YV, Novikov DA, Alshanov RA, Ashimov AA (2013) Macroeconomic analysis and parametrical control of a national economy. Springer, New YorkCrossRef
4.
go back to reference Bobylev NA, Emel’yanov SV, Korovin SK (1998) Geometricheskie metody v variatsionnykh zadachakh (geometrical methods in variational problems). Magistr, Moscow. (in Russian) Bobylev NA, Emel’yanov SV, Korovin SK (1998) Geometricheskie metody v variatsionnykh zadachakh (geometrical methods in variational problems). Magistr, Moscow. (in Russian)
5.
go back to reference Vasil’ev FP (1998) Chislennye metody resheniya ekstremal’nykh zadach (numerical solution methods for extremum problems). Nauka, Moscow. (in Russian) Vasil’ev FP (1998) Chislennye metody resheniya ekstremal’nykh zadach (numerical solution methods for extremum problems). Nauka, Moscow. (in Russian)
6.
go back to reference Golubitsky M, Guillemin V (1973) Stable mappings and their singularities. Springer-Verlag, New YorkCrossRef Golubitsky M, Guillemin V (1973) Stable mappings and their singularities. Springer-Verlag, New YorkCrossRef
7.
go back to reference Dubovskii SV (1995) Kondratiev’s cycle as the object of modeling. Matematicheskoe Modelirovanie 7(6):65–74. (in Russian) Dubovskii SV (1995) Kondratiev’s cycle as the object of modeling. Matematicheskoe Modelirovanie 7(6):65–74. (in Russian)
8.
go back to reference Zangwill WI (1969) Nonlinear programming: a unified approach. Prentice-Hall, Englewood Cliffs Zangwill WI (1969) Nonlinear programming: a unified approach. Prentice-Hall, Englewood Cliffs
9.
go back to reference Ioffe AD, Tihomirov VM (1979) Theory of extremal problems (studies in mathematics and its applications). Elsevier Science Ltd, Nord Holland Ioffe AD, Tihomirov VM (1979) Theory of extremal problems (studies in mathematics and its applications). Elsevier Science Ltd, Nord Holland
10.
go back to reference Magnitskii NA, Sidorov SV (2004) Novye metody khaoticheskoi dinamiki (new methods of chaotic dynamics). Editorial URSS, Moscow. (in Russian) Magnitskii NA, Sidorov SV (2004) Novye metody khaoticheskoi dinamiki (new methods of chaotic dynamics). Editorial URSS, Moscow. (in Russian)
11.
go back to reference Mal’tsev AI (1970) Osnovy lineinoi algebry (foundations of linear algebra). Nauka, Moscow. (in Russian) Mal’tsev AI (1970) Osnovy lineinoi algebry (foundations of linear algebra). Nauka, Moscow. (in Russian)
12.
go back to reference Orlov AI (2002) Ekonometrika (Econometrics). Ekzamen, Moscow. (in Russian) Orlov AI (2002) Ekonometrika (Econometrics). Ekzamen, Moscow. (in Russian)
14.
go back to reference Petrenko EI (2006) Development and implementation of symbolic set construction algorithms, differentsial’nye uravneniya i protsessy upravleniya, no. 3, pp. 55–96. (in Russian) Petrenko EI (2006) Development and implementation of symbolic set construction algorithms, differentsial’nye uravneniya i protsessy upravleniya, no. 3, pp. 55–96. (in Russian)
15.
go back to reference Abdiev KS (ed) (2001–2009) Statisticheskii ezhegodnik Kazakhstana (the statistical yearbook of Kazakhstan). Agency of Statistics of the Republic of Kazakhstan, Almaty Abdiev KS (ed) (2001–2009) Statisticheskii ezhegodnik Kazakhstana (the statistical yearbook of Kazakhstan). Agency of Statistics of the Republic of Kazakhstan, Almaty
16.
go back to reference Input-Output Tables for the Republic of Kazakhstan. http://stat.gov.kz/faces/wcnav_externalId/homeNationalAccountIntegrated?_afrLoop=1957715428599407#%40%3F_afrLoop%3D1957715428599407%26_adf.ctrl-state%3D5dxvt5qzd_50 Input-Output Tables for the Republic of Kazakhstan. http://​stat.​gov.​kz/​faces/​wcnav_​externalId/​homeNationalAcco​untIntegrated?​_​afrLoop=​1957715428599407​#%40%3F_afrLoop%3D1957715428599407%26_adf.ctrl-state%3D5dxvt5qzd_50
17.
go back to reference Ulam S (1960) Problems in modern mathematics. Wiley, New York Ulam S (1960) Problems in modern mathematics. Wiley, New York
18.
go back to reference Holodniok M, Klich A, Kubichek M, Marek M (1986) Methods of analysis of nonlinear dynamic models. Academia, Prague. (In Czech) Holodniok M, Klich A, Kubichek M, Marek M (1986) Methods of analysis of nonlinear dynamic models. Academia, Prague. (In Czech)
19.
go back to reference Ekeland I, Témam R (1987) Convex analysis and variational problems. SIAM, Philadelphia Ekeland I, Témam R (1987) Convex analysis and variational problems. SIAM, Philadelphia
21.
go back to reference Albonico A, Calés L et al The global multi-country model (GM): an estimated DSGE model for Euro Area countries. European Commission JRC working paper in economics and finance no. 2017/10 Albonico A, Calés L et al The global multi-country model (GM): an estimated DSGE model for Euro Area countries. European Commission JRC working paper in economics and finance no. 2017/10
22.
go back to reference André FJ, Cardenete MA, Romero C, Designing Public Policies (2010) An approach based on multi-criteria analysis and computable general equilibrium modeling. In: Lecture notes in economics and mathematical systems, vol 642. Springer, Berlin André FJ, Cardenete MA, Romero C, Designing Public Policies (2010) An approach based on multi-criteria analysis and computable general equilibrium modeling. In: Lecture notes in economics and mathematical systems, vol 642. Springer, Berlin
23.
go back to reference Antosiewicz M, Kowal P MEMO III – a large scale multi-sector DSGE model. IBS Research report no. 02/2016 Antosiewicz M, Kowal P MEMO III – a large scale multi-sector DSGE model. IBS Research report no. 02/2016
24.
go back to reference Baxter M, King RG (1999) Measuring business cycles approximate band-pass filters for economic time series. Rev Econ Stat 81(4):575–593CrossRef Baxter M, King RG (1999) Measuring business cycles approximate band-pass filters for economic time series. Rev Econ Stat 81(4):575–593CrossRef
25.
go back to reference Beidas-Strom S, Cashin P (2011) Are middle eastern current account imbalances excessive? IMF working paper no. 11–195 Beidas-Strom S, Cashin P (2011) Are middle eastern current account imbalances excessive? IMF working paper no. 11–195
28.
go back to reference Breuss F (2009) An estimated two-country DSGE model of Austria and the Euro Area. Empirica 36(1):123–158CrossRef Breuss F (2009) An estimated two-country DSGE model of Austria and the Euro Area. Empirica 36(1):123–158CrossRef
29.
go back to reference Chow GC, Lin A (1971) Best linear unbiased interpolation, distribution, and extrapolation of time series by related series. Rev Econ Stat 55:372–375CrossRef Chow GC, Lin A (1971) Best linear unbiased interpolation, distribution, and extrapolation of time series by related series. Rev Econ Stat 55:372–375CrossRef
30.
go back to reference Christoffel K, Coenen G, Warne A (2008) The new area-wide model of the Euro Area: a micro-founded open-economy model for forecasting and policy analysis. European Central Bank working paper no. 0944 Christoffel K, Coenen G, Warne A (2008) The new area-wide model of the Euro Area: a micro-founded open-economy model for forecasting and policy analysis. European Central Bank working paper no. 0944
31.
go back to reference Corong EL, Hertela TW, Mcdougall RA, Tsigas ME, van der Mensbrugghe D (2017) The standard GTAP model, version 7. J Glob Econ Anal 2(1):1–119 Corong EL, Hertela TW, Mcdougall RA, Tsigas ME, van der Mensbrugghe D (2017) The standard GTAP model, version 7. J Glob Econ Anal 2(1):1–119
32.
go back to reference Del Negro M, Schorfheide F (2008) Forming priors for DSGE models. J Monet Econ 55(7):1191–1208CrossRef Del Negro M, Schorfheide F (2008) Forming priors for DSGE models. J Monet Econ 55(7):1191–1208CrossRef
34.
go back to reference Dixon PB, Parmenter BR (1996) Computable general equilibrium modelling for policy analysis and forecasting. In: Handbook of computational economics, vol 1. Elsevier Science B.V, Melbourne, pp 3–85 Dixon PB, Parmenter BR (1996) Computable general equilibrium modelling for policy analysis and forecasting. In: Handbook of computational economics, vol 1. Elsevier Science B.V, Melbourne, pp 3–85
35.
go back to reference Ianchovichina E, Walmsley T (eds) (2012) Dynamic modeling and applications for global economic analysis. Cambridge University Press, Cambridge Ianchovichina E, Walmsley T (eds) (2012) Dynamic modeling and applications for global economic analysis. Cambridge University Press, Cambridge
37.
go back to reference Fair RC, Taylor JB (1983) Solution and maximum likelihood estimation of dynamic nonlinear rational expectations model. Econometrica 51(4):1169–1185CrossRef Fair RC, Taylor JB (1983) Solution and maximum likelihood estimation of dynamic nonlinear rational expectations model. Econometrica 51(4):1169–1185CrossRef
40.
go back to reference Fujiwara I, Hara N, Hirosr Y, Taranishi Y (2005) The Japanese economic model (JEM). Monetary Econ Stud 23(2):61–142 Fujiwara I, Hara N, Hirosr Y, Taranishi Y (2005) The Japanese economic model (JEM). Monetary Econ Stud 23(2):61–142
42.
go back to reference Geweke J (1999) Using simulation methods for bayesian econometric models: inference, development and communication. Econ Rev 18(1):1–73CrossRef Geweke J (1999) Using simulation methods for bayesian econometric models: inference, development and communication. Econ Rev 18(1):1–73CrossRef
44.
go back to reference Gomes S, Jacquinot P, Pisani M, The EAGLE (2010) A model for policy analysis of macroeconomic interdependence in the Euro Area. Bank of Italy working paper no. 770 Gomes S, Jacquinot P, Pisani M, The EAGLE (2010) A model for policy analysis of macroeconomic interdependence in the Euro Area. Bank of Italy working paper no. 770
45.
go back to reference Grander C, Newbold P (1974) Spurious regressions in econometrics. J Econ 2:111–120CrossRef Grander C, Newbold P (1974) Spurious regressions in econometrics. J Econ 2:111–120CrossRef
46.
47.
go back to reference GTAP Data Base. www.gtap.agecon.purdue.edu/databases/default.asp GTAP Data Base. www.gtap.agecon.purdue.edu/databases/default.asp
48.
go back to reference Hamilton J (1994) Time series analysis. Princeton University Press, Princeton Hamilton J (1994) Time series analysis. Princeton University Press, Princeton
49.
go back to reference UN. Statistics Division (1999) Handbook of input-output table compilation and analysis. United Nations, New York UN. Statistics Division (1999) Handbook of input-output table compilation and analysis. United Nations, New York
50.
go back to reference Hastings W (1970) Monte Carlo sampling methods using Markov Chains and their applications. Biometrika 57(1):97–109CrossRef Hastings W (1970) Monte Carlo sampling methods using Markov Chains and their applications. Biometrika 57(1):97–109CrossRef
51.
go back to reference Herbsta E, Schorfheide F (2012) Evaluating DSGE model forecasts of comovements. J Econ 171(2):152–166CrossRef Herbsta E, Schorfheide F (2012) Evaluating DSGE model forecasts of comovements. J Econ 171(2):152–166CrossRef
52.
go back to reference Iacoviello M (2015) Financial business cycles. Rev Econ Dyn 18(1):140–163CrossRef Iacoviello M (2015) Financial business cycles. Rev Econ Dyn 18(1):140–163CrossRef
53.
go back to reference Isard P, Faruqee H (1998) Exchange rate assessment: extensions of the macroeconomic balance approach. IMF Occasional paper no. 167CrossRef Isard P, Faruqee H (1998) Exchange rate assessment: extensions of the macroeconomic balance approach. IMF Occasional paper no. 167CrossRef
55.
go back to reference Kumhof M, Laxton D, Muir D, Mursula S (2010) The global integrated monetary and fiscal model (GIMF) – theoretical structure. IMF working paper no. 10/34 Kumhof M, Laxton D, Muir D, Mursula S (2010) The global integrated monetary and fiscal model (GIMF) – theoretical structure. IMF working paper no. 10/34
56.
go back to reference Lalonde R, Muir D (2007) The bank of Canada’s version of the global economy model (BoC-GEM). Bank of Canada Technical report no. 98 Lalonde R, Muir D (2007) The bank of Canada’s version of the global economy model (BoC-GEM). Bank of Canada Technical report no. 98
57.
go back to reference Lee J et al (2008) Exchange rate assessments: CGER methodologies. IMF Occasional paper no. 261 Lee J et al (2008) Exchange rate assessments: CGER methodologies. IMF Occasional paper no. 261
59.
go back to reference Ljung GM, Box GEP (1978) On a measure of a lack of fit in time series models. Biometrika 65(2):297–303CrossRef Ljung GM, Box GEP (1978) On a measure of a lack of fit in time series models. Biometrika 65(2):297–303CrossRef
62.
go back to reference Medina JP, Soto C (2007) The chilean business cycles through the lens of a stochastic general equilibrium model. Central Bank of Chile working paper no. 457 Medina JP, Soto C (2007) The chilean business cycles through the lens of a stochastic general equilibrium model. Central Bank of Chile working paper no. 457
63.
go back to reference More JJ, Sorensen DC (1983) Computing a trust region step. SIAM J Sci Stat Comput 3:553–572CrossRef More JJ, Sorensen DC (1983) Computing a trust region step. SIAM J Sci Stat Comput 3:553–572CrossRef
64.
go back to reference Naastepad CWM (2002) Effective supply failures and structural adjustment: a real–financial model with reference to India. Cambridge J Econ 26(5):637–657CrossRef Naastepad CWM (2002) Effective supply failures and structural adjustment: a real–financial model with reference to India. Cambridge J Econ 26(5):637–657CrossRef
65.
go back to reference Negro MD, Eusepi S et al (2013) The FRBNY DSGE model. The Federal Reserve Bank of New York Staff report no. 647 Negro MD, Eusepi S et al (2013) The FRBNY DSGE model. The Federal Reserve Bank of New York Staff report no. 647
66.
go back to reference Nelder JA, Mead R (1965) A simplex method for function minimization. Comput J 7:308–313CrossRef Nelder JA, Mead R (1965) A simplex method for function minimization. Comput J 7:308–313CrossRef
68.
go back to reference Quint D, Rabanal P (2014) Monetary and macroprudential policy in an estimated DSGE model of the Euro Area. Int J Cent Bank 10(2):169–236 Quint D, Rabanal P (2014) Monetary and macroprudential policy in an estimated DSGE model of the Euro Area. Int J Cent Bank 10(2):169–236
69.
go back to reference Razafindrabe TM, Multi-Country A (2016) DSGE model with incomplete exchange rate pass-through: an application for the Euro-Area. Econ Model 52(Part A):78–100CrossRef Razafindrabe TM, Multi-Country A (2016) DSGE model with incomplete exchange rate pass-through: an application for the Euro-Area. Econ Model 52(Part A):78–100CrossRef
70.
go back to reference Rees D, Smith P, Hall J A multi-sector model of the Australian economy. Reserve Bank of Australia Research Discussion paper no. 2015–07 Rees D, Smith P, Hall J A multi-sector model of the Australian economy. Reserve Bank of Australia Research Discussion paper no. 2015–07
71.
go back to reference Resende CD, Dib A, Kichian M (2010) Alternative optimized monetary policy rules in multi-sector small open economies: the role of real rigidities. Bank of Canada working paper no. 9 Resende CD, Dib A, Kichian M (2010) Alternative optimized monetary policy rules in multi-sector small open economies: the role of real rigidities. Bank of Canada working paper no. 9
72.
go back to reference Robinson C (1980) Structural stability on manifolds with boundary. J Differ Equ 37:1–11CrossRef Robinson C (1980) Structural stability on manifolds with boundary. J Differ Equ 37:1–11CrossRef
73.
go back to reference Shishido S, Nakamura O (1992) Induced technical progress and structural adjustment: a multi-sectoral model approach to Japan’s growth alternatives. J Appl Input-Output Anal 1(1):1–23 Shishido S, Nakamura O (1992) Induced technical progress and structural adjustment: a multi-sectoral model approach to Japan’s growth alternatives. J Appl Input-Output Anal 1(1):1–23
74.
go back to reference Sims C (2002) Solving linear rational expectations models. Comput Econ 20(1):1–20CrossRef Sims C (2002) Solving linear rational expectations models. Comput Econ 20(1):1–20CrossRef
76.
go back to reference Smets F et al (2010) DSGE models and their use at the ECB. SERIEs 1(1–2):51–65CrossRef Smets F et al (2010) DSGE models and their use at the ECB. SERIEs 1(1–2):51–65CrossRef
77.
go back to reference Smets F, Wouters R (2003) An estimated dynamic stochastic general equilibrium model of the Euro Area. J Eur Econ Assoc 1(5):1123–1175CrossRef Smets F, Wouters R (2003) An estimated dynamic stochastic general equilibrium model of the Euro Area. J Eur Econ Assoc 1(5):1123–1175CrossRef
78.
go back to reference Tapiero CS (1998) Applied stochastic models and control for finance and insurance. Springer, New YorkCrossRef Tapiero CS (1998) Applied stochastic models and control for finance and insurance. Springer, New YorkCrossRef
79.
go back to reference Tokarick S (2014) A method for calculating export supply and import demand elasticities. J Int Trade Econ Dev 23(7):1059–1087CrossRef Tokarick S (2014) A method for calculating export supply and import demand elasticities. J Int Trade Econ Dev 23(7):1059–1087CrossRef
80.
go back to reference Tovar CE (2009) DSGE models and central banks. Economics 3(16):1–31 Tovar CE (2009) DSGE models and central banks. Economics 3(16):1–31
Metadata
Title
Parametric Control of Macroeconomic Systems: Basic Components of Theory
Authors
Abdykappar A. Ashimov
Yuriy V. Borovskiy
Dmitry A. Novikov
Bakyt T. Sultanov
Mukhit A. Onalbekov
Copyright Year
2020
DOI
https://doi.org/10.1007/978-3-030-32205-2_1