Some Aspects of the Foundations of General Equilibrium Theory: The Posthumous Papers of Peter J. Kalman
In a wide number of economic problems the equilibrium values of the variables can be regarded as solutions of a parametrized constrained maximization problem. This occurs in static as well as dynamic models; in the latter case the choice variables are often paths in certain function spaces and thus...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
1978
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| Ausgabe: | 1st ed. 1978 |
| Schriftenreihe: | Lecture Notes in Economics and Mathematical Systems
159 |
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| Online-Zugang: | BTU01 Volltext |
| Zusammenfassung: | In a wide number of economic problems the equilibrium values of the variables can be regarded as solutions of a parametrized constrained maximization problem. This occurs in static as well as dynamic models; in the latter case the choice variables are often paths in certain function spaces and thus can be regarded as points in infinite dimensional spaces. It is sometimes possible to determine qualitative properties of the solutions with respect to changes in the parameters of the model. The study of such properties is often called comparative statics; [15], [2], and [10]. Certain comparative static properties of the maxima have proven to be of particular importance for economic theory, since the works of Slutsky, Hicks, and Samuelson [15]: they have been for- lated in terms of synunetry and negative semidefiniteness of a matrix, called the Slutsky-Hicks-Samuelson matrix. A discussion of this matrix and its applications is given in Section 1. The study of these properties in economic theory, however, has so far been restricted to static models where the choice variable and the parameters are elements in Euclidean spaces, and where there is only one constraint |
| Beschreibung: | 1 Online-Ressource (VI, 172 p) |
| ISBN: | 9783642953316 |
| DOI: | 10.1007/978-3-642-95331-6 |
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| 245 | 1 | 0 | |a Some Aspects of the Foundations of General Equilibrium Theory |b The Posthumous Papers of Peter J. Kalman |c by P.J. Kalman ; edited by J. Green |
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| 520 | |a In a wide number of economic problems the equilibrium values of the variables can be regarded as solutions of a parametrized constrained maximization problem. This occurs in static as well as dynamic models; in the latter case the choice variables are often paths in certain function spaces and thus can be regarded as points in infinite dimensional spaces. It is sometimes possible to determine qualitative properties of the solutions with respect to changes in the parameters of the model. The study of such properties is often called comparative statics; [15], [2], and [10]. Certain comparative static properties of the maxima have proven to be of particular importance for economic theory, since the works of Slutsky, Hicks, and Samuelson [15]: they have been for- lated in terms of synunetry and negative semidefiniteness of a matrix, called the Slutsky-Hicks-Samuelson matrix. A discussion of this matrix and its applications is given in Section 1. The study of these properties in economic theory, however, has so far been restricted to static models where the choice variable and the parameters are elements in Euclidean spaces, and where there is only one constraint | ||
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| dewey-ones | 330 - Economics |
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| discipline | Mathematik Wirtschaftswissenschaften |
| discipline_str_mv | Mathematik Wirtschaftswissenschaften |
| doi_str_mv | 10.1007/978-3-642-95331-6 |
| edition | 1st ed. 1978 |
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| spelling | Kalman, P.J. Verfasser aut Some Aspects of the Foundations of General Equilibrium Theory The Posthumous Papers of Peter J. Kalman by P.J. Kalman ; edited by J. Green 1st ed. 1978 Berlin, Heidelberg Springer Berlin Heidelberg 1978 1 Online-Ressource (VI, 172 p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Economics and Mathematical Systems 159 In a wide number of economic problems the equilibrium values of the variables can be regarded as solutions of a parametrized constrained maximization problem. This occurs in static as well as dynamic models; in the latter case the choice variables are often paths in certain function spaces and thus can be regarded as points in infinite dimensional spaces. It is sometimes possible to determine qualitative properties of the solutions with respect to changes in the parameters of the model. The study of such properties is often called comparative statics; [15], [2], and [10]. Certain comparative static properties of the maxima have proven to be of particular importance for economic theory, since the works of Slutsky, Hicks, and Samuelson [15]: they have been for- lated in terms of synunetry and negative semidefiniteness of a matrix, called the Slutsky-Hicks-Samuelson matrix. A discussion of this matrix and its applications is given in Section 1. The study of these properties in economic theory, however, has so far been restricted to static models where the choice variable and the parameters are elements in Euclidean spaces, and where there is only one constraint Economic Theory/Quantitative Economics/Mathematical Methods Economic theory Wirtschaft (DE-588)4066399-1 gnd rswk-swf Gleichgewichtstheorie (DE-588)4071876-1 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content (DE-588)4151278-9 Einführung gnd-content Gleichgewichtstheorie (DE-588)4071876-1 s Wirtschaft (DE-588)4066399-1 s DE-604 Green, J. edt Erscheint auch als Druck-Ausgabe 9783540089186 Erscheint auch als Druck-Ausgabe 9783642953323 https://doi.org/10.1007/978-3-642-95331-6 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Kalman, P.J Some Aspects of the Foundations of General Equilibrium Theory The Posthumous Papers of Peter J. Kalman Economic Theory/Quantitative Economics/Mathematical Methods Economic theory Wirtschaft (DE-588)4066399-1 gnd Gleichgewichtstheorie (DE-588)4071876-1 gnd |
| subject_GND | (DE-588)4066399-1 (DE-588)4071876-1 (DE-588)4143413-4 (DE-588)4151278-9 |
| title | Some Aspects of the Foundations of General Equilibrium Theory The Posthumous Papers of Peter J. Kalman |
| title_auth | Some Aspects of the Foundations of General Equilibrium Theory The Posthumous Papers of Peter J. Kalman |
| title_exact_search | Some Aspects of the Foundations of General Equilibrium Theory The Posthumous Papers of Peter J. Kalman |
| title_exact_search_txtP | Some Aspects of the Foundations of General Equilibrium Theory The Posthumous Papers of Peter J. Kalman |
| title_full | Some Aspects of the Foundations of General Equilibrium Theory The Posthumous Papers of Peter J. Kalman by P.J. Kalman ; edited by J. Green |
| title_fullStr | Some Aspects of the Foundations of General Equilibrium Theory The Posthumous Papers of Peter J. Kalman by P.J. Kalman ; edited by J. Green |
| title_full_unstemmed | Some Aspects of the Foundations of General Equilibrium Theory The Posthumous Papers of Peter J. Kalman by P.J. Kalman ; edited by J. Green |
| title_short | Some Aspects of the Foundations of General Equilibrium Theory |
| title_sort | some aspects of the foundations of general equilibrium theory the posthumous papers of peter j kalman |
| title_sub | The Posthumous Papers of Peter J. Kalman |
| topic | Economic Theory/Quantitative Economics/Mathematical Methods Economic theory Wirtschaft (DE-588)4066399-1 gnd Gleichgewichtstheorie (DE-588)4071876-1 gnd |
| topic_facet | Economic Theory/Quantitative Economics/Mathematical Methods Economic theory Wirtschaft Gleichgewichtstheorie Aufsatzsammlung Einführung |
| url | https://doi.org/10.1007/978-3-642-95331-6 |
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