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Production, Capital Stock and Price Dynamics in a Simple Model of Closed Economy

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The purpose of this paper is to study a price level dynamics in a simple four-equation model. A basis of this model is developed from dynamical Kaldorian model which could be noticed very frequently in works of non-linear economic dynamics. Our approach is traditional. The difference is observed in a choice of an investment function. The investment function depending on the difference of logarithm of production and logarithm of capital (logarithm of the productivity of capital) is in a form of the logistic function. These two equations create relatively closed sub-model generating both production and capital stock trajectories. Two other equations describe the price level dynamics as a consequence of money market disequilibrium and continuously adaptive expectation of inflation. Our investigation is firstly aimed to core model dynamics, i.e., a dynamics of the production and capital stock. Secondly is to analyze dynamics of the model as a whole, i.e., to the first part is superadded the price dynamics and expected inflation dynamics depending on both an adaptation parameter of the commodity market and a parameter of the expectation. Thirdly we compute Lyapunov exponents for a simple model of closed economy showing it’s a chaotic behaviour. Simulation studies are performed.

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Bibliographic Info

Paper provided by Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies in its series Working Papers IES with number 93.

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Length: 10 pages
Date of creation: 2005
Date of revision: 2005
Handle: RePEc:fau:wpaper:wp093

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Keywords: investment ratio; propensity to save; expected inflation; nonlinear system; price dynamics;

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  1. Michal Bauer, 2005. "Theory of the Firm under Uncertainty: Financing, Attitude to Risk and Output Behavior," Working Papers IES 71, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised 2005.
  2. Wadim Strielkowski & Cathal O'Donoghue, 2005. "Ready to Go? EU Enlargement and Migration Potential: Lessons from the Czech Republic in the Context of the Irish Migration Experience," Working Papers IES 74, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised 2005.
  3. Alexis Derviz, 2007. "Cross-Border Risk Transmission by a Multinational Bank," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 1(1), pages 87-111, March.
  4. Peter Tuchyòa & Martin Gregor, 2005. "Centralization Trade-off with Non-Uniform Taxes," Working Papers IES 81, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised 2005.
  5. Karel Janda, 2005. "The Comparative Statics of the Effects of Credit Guarantees and Subsidies in the Competitive Lending Market," Working Papers IES 82, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised 2005.
  6. Karel Janda, 2005. "The Quantitative and Qualitative Analysis of the Budget Cost of the Czech Supporting and Guarantee Agricultural and Forestry Fund," Working Papers IES 86, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised 2005.
  7. Karel Janda, 2003. "Credit guarantees in a credit market with adverse selection," Prague Economic Papers, University of Economics, Prague, vol. 2003(4).
  8. František Turnovec & Jacek W. Mercik & Mariusz Mazurkiewicz, 2004. "Power Indices: Shapley-Shubik OR Penrose-Banzhaf?," Working Papers IES 48, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised 2004.
  9. Karel Janda, 2004. "Bankruptcy Procedures with Ex Post Moral Hazard," Working Papers IES 61, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, revised 2004.
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