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  • 1
    Online-Ressource
    Online-Ressource
    Amsterdam [u.a.] : North-Holland
    UID:
    b3kat_BV040922933
    Umfang: 1 Online-Ressource
    ISBN: 9780444861269 , 9780444861276 , 9780444861283 , 9780444874610
    Serie: Handbooks in economics 1
    Anmerkung: Bd. 1 (1981) bis Bd. 4 (1991) im Rahmen einer Nationallizenz (ZDB-1-HBE) verfügbar. , Enth. Bd. 1 - 4
    Sprache: Englisch
    Schlagwort(e): Wirtschaftsmathematik ; Ökonometrie
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 2
    Online-Ressource
    Online-Ressource
    Amsterdam : North-Holland Pub. Co
    Dazugehörige Titel
    UID:
    gbv_1659177626
    Umfang: Online Ressource (xii, 381-1070 pages) , illustrations.
    Ausgabe: Online-Ausg.
    ISBN: 0444861270 , 9780444861276
    Serie: Handbooks in economics bk. 1
    Inhalt: The Handbook of Mathematical Economics aims to provide a definitive source, reference, and teaching supplement for the field of mathematical economics. It surveys, as of the late 1970's the state of the art of mathematical economics. This is a constantly developing field and all authors were invited to review and to appraise the current status and recent developments in their presentations. In addition to its use as a reference, it is intended that this Handbook will assist researchers and students working in one branch of mathematical economics to become acquainted with other branches of this field. Volume 2 elaborates on Mathematical Approaches to Microeconomic Theory, including consumer, producer, oligopoly, and duality theory, as well as Mathematical Approaches to Competitive Equilibrium including such aspects of competitive equilibrium as existence, stability, uncertainty, the computation of equilibrium prices, and the core of an economy
    Inhalt: The Handbook of Mathematical Economics aims to provide a definitive source, reference, and teaching supplement for the field of mathematical economics. It surveys, as of the late 1970's the state of the art of mathematical economics. This is a constantly developing field and all authors were invited to review and to appraise the current status and recent developments in their presentations. In addition to its use as a reference, it is intended that this Handbook will assist researchers and students working in one branch of mathematical economics to become acquainted with other branches of this field. Volume 2 elaborates on Mathematical Approaches to Microeconomic Theory, including consumer, producer, oligopoly, and duality theory, as well as Mathematical Approaches to Competitive Equilibrium including such aspects of competitive equilibrium as existence, stability, uncertainty, the computation of equilibrium prices, and the core of an economy
    Anmerkung: Includes bibliographical references and index , Mathematical Approaches to Microeconomic Theory. Consumer theory (A.P. Barten, V. Buhm). Producers theory (M.I. Nadiri). Oligopoly theory (J.W. Friedman). Duality approaches to microeconomic theory (W.E. Diewert). On the microeconomic theory of investment under uncertainty (R.C. Merton). Market demand and excess demand functions (W. Shafer, H. Sonnenschein). Mathematical Approaches to Competitive Equilibrium. Existence of competitive equilibrium (G. Debreu). Stability (F. Hahn). Regular economies (E. Dierker). Core of an economy (W. Hildenbrand). Temporary general equilibrium theory (J.-M. Grandmont). Equilibrium under uncertainty (R. Radner). The computation of equilibrium prices: An exposition (H.E. Scarf).
    Sprache: Englisch
    Fachgebiete: Wirtschaftswissenschaften , Mathematik
    RVK:
    RVK:
    Schlagwort(e): Wirtschaftsmathematik ; Ökonometrie ; Electronic books
    URL: Volltext  (Deutschlandweit zugänglich)
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  • 3
    Online-Ressource
    Online-Ressource
    Dazugehörige Titel
    UID:
    gbv_1831647850
    ISBN: 0444861270
    In: Handbook of mathematical economics, Amsterdam : North-Holland Pub. Co, 1982, (1982), Seite 1063, 0444861270
    In: 9780444861276
    In: year:1982
    In: pages:1063
    Sprache: Englisch
    URL: Volltext  (Deutschlandweit zugänglich)
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  • 4
    UID:
    gbv_183164794X
    ISBN: 0444861270
    Inhalt: This chapter describes investment theory as the study of the individual behavior of households and economic organizations in the allocation of their resources to the available investment opportunities. For the purposes of investment theory, economic organizations are characterized as being members of one of two groups: business firms that hold as assets the physical means of production for the economy and finance their production decisions by issuing financial claims or securities and financial intermediaries that hold financial claims as assets and finance these assets by issuing securities. Individuals or households are assumed to invest primarily in securities and, therefore, invest only indirectly in physical assets. The markets in which these securities are traded are called the capital markets. The natural starting point for the development of investment theory is to derive the investment behavior of individuals. It is traditional in economic theory to take the existence of households and their tastes as exogenous to the theory. However, this tradition does not extend to economic organizations and institutions. They are regarded as existing primarily because of the functions they serve instead of functioning primarily because they exist.
    In: Handbook of mathematical economics, Amsterdam : North-Holland Pub. Co, 1982, (1982), Seite 601-669, 0444861270
    In: 9780444861276
    In: year:1982
    In: pages:601-669
    Sprache: Englisch
    URL: Volltext  (Deutschlandweit zugänglich)
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  • 5
    UID:
    gbv_1831647974
    ISBN: 0444861270
    Inhalt: The producers theory is concerned with the behavior of firms in hiring and combining productive inputs to supply commodities at appropriate prices. Two sets of issues are involved in this process: one is the technical constraints, which limit the range of feasible productive processes, while the other is the institutional context such as the characteristics of the market where commodities and inputs are purchased and sold. The chapter describes the set of axiomatic approaches to production technology and the neoclassical theory of the multi-product and multi-input firm. It is an attempt to set forth the general framework of analysis that underlies neoclassical producer decision theory. The chapter discusses the properties of the production function, its various forms, and applications of the duality principles and also provides a brief discussion of the CambridgeCambridge controversy insofar as it pertains to the existence and usefulness of production functions. The chapter also presents three special cases of the theory of the firm in which new research has appeared, specifically dynamic input disequilibrium models, response to regulatory constraints, and optimal price and output decisions in multi-product firms.
    In: Handbook of mathematical economics, Amsterdam : North-Holland Pub. Co, 1982, (1982), Seite 431-490, 0444861270
    In: 9780444861276
    In: year:1982
    In: pages:431-490
    Sprache: Englisch
    URL: Volltext  (Deutschlandweit zugänglich)
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  • 6
    UID:
    gbv_1831647885
    ISBN: 0444861270
    Inhalt: Traditional general equilibrium theory has, for a long time, studied an economic model that is essentially static, where the agent's expectations are self-fulfilling and the equilibrium is achieved solely by the price system. The chapter presents the conceptual framework underlying temporary equilibrium models. This chapter discusses the central role played by an agent's expectations in his or her decision-making process. This model is the microeconomic foundation of the whole theory. A few models using the temporary competitive equilibrium method are also studied in the chapter. It is postulated that prices move fast enough in each period to match supply and demand. The first problem studied is the issue of the existence of an equilibrium in asset markets that is very important in any theory of financial markets. In the framework of a simple model, a necessary and sufficient condition for the existence of a competitive equilibrium in asset markets is some partial agreement among economic agents concerning expected future spot prices of these assets. The chapter studies the temporary equilibrium with the quantity rationing method and to the possible contributions of this approach to the theory of employment and inflation. The basic axiom of this approach is that in the short run, quantities adjust infinitely faster than prices. One is thus led to study a model where prices are temporarily fixed in each period and equilibrium is achieved by quantity rationing. The chapter also presents an evaluation of the equilibrium concepts used in this area.
    In: Handbook of mathematical economics, Amsterdam : North-Holland Pub. Co, 1982, (1982), Seite 879-922, 0444861270
    In: 9780444861276
    In: year:1982
    In: pages:879-922
    Sprache: Englisch
    URL: Volltext  (Deutschlandweit zugänglich)
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  • 7
    Online-Ressource
    Online-Ressource
    Dazugehörige Titel
    UID:
    gbv_1831648016
    ISBN: 0444861270
    In: Handbook of mathematical economics, Amsterdam : North-Holland Pub. Co, 1982, (1982), Seite v, 0444861270
    In: 9780444861276
    In: year:1982
    In: pages:v
    Sprache: Englisch
    URL: Volltext  (Deutschlandweit zugänglich)
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  • 8
    Online-Ressource
    Online-Ressource
    Dazugehörige Titel
    UID:
    gbv_1831647842
    ISBN: 0444861270
    In: Handbook of mathematical economics, Amsterdam : North-Holland Pub. Co, 1982, (1982), Seite 1065-1070, 0444861270
    In: 9780444861276
    In: year:1982
    In: pages:1065-1070
    Sprache: Englisch
    URL: Volltext  (Deutschlandweit zugänglich)
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  • 9
    UID:
    gbv_1831647869
    ISBN: 0444861270
    Inhalt: A demonstration of the existence of equilibrium prices for a general Walrasian model of competitive behavior necessarily makes use of some variant of Brouwer's fixed point theorem as an essential step. The strategy for calculating equilibrium prices is to render that step constructive by a numerical approximation of the fixed point implied by Brouwer's theorem or one of its alternatives. This chapter provides a brief review of the competitive model and the role of fixed point theorems. For the purpose of computing equilibrium prices, the demand functions are frequently more natural to work with than the underlying utility function or preference relationship. A general equilibrium model is fully specified to obtain a numerical solution. On the consumer side, this is typically done by providing a numerical or algebraic description of the functions. A few examples of some of the more familiar utility functions and their associated demand functions are appropriate at this point. A model of equilibrium involves a number of consuming units, individuals, aggregations of individuals, or countries involved in foreign tradeeach of whom has a stock of assets, prior to production and trade, and each of whose demands are functions of the prevailing prices. The market demand functions specify the total consumer demand, for the goods and services in the economy, as a function of all prices. The chapter also explains that market demand functions cannot be arbitrarily specified if they are derived from individual demand functions by the process of aggregation.
    In: Handbook of mathematical economics, Amsterdam : North-Holland Pub. Co, 1982, (1982), Seite 1007-1061, 0444861270
    In: 9780444861276
    In: year:1982
    In: pages:1007-1061
    Sprache: Englisch
    URL: Volltext  (Deutschlandweit zugänglich)
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  • 10
    UID:
    gbv_1831647923
    ISBN: 0444861270
    Inhalt: This chapter discusses that the mathematical model of a competitive economy conceived as an attempt to explain the state of equilibrium reached by a large number of small agents interacting through markets. Four distinct, but closely related, approaches to the existence problem are recognized. At first, proofs of existence of an economic equilibrium were uniformly obtained by application of a fixed-point theorem of the Brouwer type or Kakutani type or by analogous arguments. This approach, which has remained of central importance to the present, is the subject of the chapter. Second, in the past decade, efficient algorithms of a combinatorial nature for the computation of an approximate economic equilibrium were developed. Third, recently, the theory of the fixed-point index of a map and the degree theory of maps were used to establish the existence of an economic equilibrium, and finally a differential process was proposed whose generic convergence to an economic equilibrium provides an alternative constructive solution of the existence problem.
    In: Handbook of mathematical economics, Amsterdam : North-Holland Pub. Co, 1982, (1982), Seite 697-743, 0444861270
    In: 9780444861276
    In: year:1982
    In: pages:697-743
    Sprache: Englisch
    URL: Volltext  (Deutschlandweit zugänglich)
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