Freni, Giuseppe and Gozzi, Fausto and Salvadori, Neri (2009): Existence of optimal strategies in linear multisector models with several consumption goods.
Preview |
PDF
MPRA_paper_18812.pdf Download (262kB) | Preview |
Abstract
In this paper we give a sufficient and almost necessary condition for the existence of optimal strategies in linear multisector models when time is continuous and more than one consumption good exists.
Item Type: | MPRA Paper |
---|---|
Original Title: | Existence of optimal strategies in linear multisector models with several consumption goods |
English Title: | Existence of optimal strategies in linear multisector models with several consumption goods |
Language: | English |
Keywords: | Endogenous growth; optimal control with mixed constraints; von Neumann growth model |
Subjects: | O - Economic Development, Innovation, Technological Change, and Growth > O4 - Economic Growth and Aggregate Productivity > O41 - One, Two, and Multisector Growth Models C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C62 - Existence and Stability Conditions of Equilibrium |
Item ID: | 18812 |
Depositing User: | Neri Salvadori |
Date Deposited: | 27 Nov 2009 10:31 |
Last Modified: | 28 Sep 2019 17:41 |
References: | [1] Balder, E. J.: Existence of Optimal Solutions for Control and Variational Problems with Recursive Objectives. Journal of Mathematical Analysis and Applications, 178, 418-437 (1993) [2] Bardi, M., Capuzzo Dolcetta, I.: Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations. Boston, Birkhauser, 1997. [3] Becker, R. A., Boyd III, J. H., Sung, B. Y.: Recursive Utility and Optimal Capital AccumulationI: Existence. Journal of Economic Theory, 47, 76-100 (1989) [4] Cesari, L.: Optimization Theory and Applications. New York, Springer{Verlag, 1983 [5] Freni, G., Gozzi, F., Pignotti, C.: A Multisector AK Model with Endogenous Growth: Value Function and Optimality Conditions. J. Math. Ec., 2008. [6] Freni, G., Gozzi, F., Salvadori, N.: Existence of Optimal Strategies in linear multisector models. Economic Theory, 29 25-48, 2006. [7] Freni, G., Gozzi, F., Salvadori, N.: Existence of Optimal Strategies in linear Multisector Models. Discussion papers, Collana di E-papers del Dipartimento di Scienze Economiche - Universit a di Pisa, No. 29, 2004. http://www-dse.ec.unipi.it/discussionpapers/lavori/freniGozziSalvadori.pdf [8] Gale, D.: The Closed Linear Model of Production. Paper 18 in Kuhn, H., and A. W. Tucker, eds., Linear Inequalities and Related Systems. Princeton U. Press, 1956 [9] Gale, D.: The Theory of Linear Economic Models. New York, McGraw-Hill, 1960 [10] Magill, M. J. P.: In nite Horizon Programs. Econometrica, 49, 679-711 (1981). [11] Magill, M. J. P.: On a Class of Variational Problems Arising in Mathematical Economics. J. Math. Anal. Appl., 82, 66-74 (1981). [12] Mangasarian, O. L.: Nonlinear Programming. Bombay-New Delhi: Tata McGraw Hill, reprinted as vol. 16 of the series Classics in Applied Mathematics, Philadelphia: SIAM, 1994. [13] Motzkin, T. S.: Beiträge zur Theorie der Linearen Ungleichungen. Inaugural Dissertation, Jerusalem, Base, 1936. [14] von Neumann, J.: A Model of General Economic Equilibrium. Review of Economic Studies 13, 1-9 (1945) [15] Seierstad, A.: Nontrivial Multipliers and Necessary Conditions for Optimal Control Problems with In nite Horizon and Time Path Restrictions. Memorandum from Department of Economics, University of Oslo, 24, (1986). [16] Seierstad, A., Sydsaeter, K.: Optimal Control Theory with Economic Applications. Amsterdam, North Holland, 1987 |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/18812 |
Available Versions of this Item
-
Existence of Optimal Strategies in Linear Multisector Models with several consumption goods. (deposited 21 Nov 2009 11:56)
- Existence of optimal strategies in linear multisector models with several consumption goods. (deposited 27 Nov 2009 10:31) [Currently Displayed]