×

Mathematical methods in economics. (Reprint). (English) Zbl 0654.90011

Handbook of Applicable Mathematics, Guidebook 6. A Wiley-Interscience Publication. Chichester etc.: John Wiley & Sons. XIX, 580 p. (Gö: FA 10501: Guidebook 6) (1986).
The book contains the following elementary articles: F. van der Ploeg: Introduction. - R. Stone: Accounting Matrices in Economics and Demography (Production and consumption: industries and sectors, National accounts and balance sheets, Social demography: the standard matrix, Construction of economic and demographic accounting matrices). - M. R. Weale: Linear Economic Models (The Keynesian model, Input- output models, Price systems, A subsistence wage and fixed capital, A trade model and financial balances). - L. F. Punzo, K. Velupillai: Multisectoral Models and Joint Production (Linear multisectoral models without joint production, General joint production systems, Fixed capital as joint product and the Non-Substitution theorem). - R. A. Evans: The Aggregate Consumption Function (Keynes and the Keynesian consumption function, The life-cycle hypothesis, The permanent income hypothesis and rational expectations, Recent econometric formulations: The error correction mechanism, The effect of inflation on aggregate consumption). - T. Lawson: Generalized Adaptive Expectations (A permanent income hypothesis, A generalized adaptive expectations hypothesis). - W. Driehuis: Macroeconomic Investment and Employment Functions (Lags in economic behaviour, The electic approach, The production function approach). - F. R. Shupp: Macroeconomic Theory and Policy (Comparative statics and the neutrality argument, Comparative dynamics and the correspondence principle). - M. H. Pesaran: The New Classical Macroeconomics: A Critical Exposition (The natural rate hypothesis, Adaptive expectations and the rational expectations hypothesis, The non-uniqueness problem, New classical policy neutrality proposition, Cases of policy non-neutrality). - D. Currie, P. Levine: Stochastic Macroeconomic Policy Simulations for a Small Open Economy (A short-run model of a small open economy, Policy rules, The complete continuous-time dynamic model, The solution of dynamic stochastic models under rational expectations, A simple example of the solution procedure, The stability of the complete model, Simulation results and policy consequences). - F. van der Ploeg: Macro-dynamic Theories of Economic Growth and Fluctuations (Warranted and natural rates of economic growth, Post-Keynesian descriptions of class conflict, Neoclassical versions of economic growth, Profitability and unemployment in a growing economy, The trade cycle and Keynesian demand management, Effective demand, the class struggle and economic growth, The political business cycle). - V. K. Borooah: Theory of the Firm (Basic concepts in production theory, Homogeneous production functions, The equilibrium of the competitive firm, The minimization of costs, Properties of the cost function, The maximization of profits, The comparative statics of the firm, Perfect competition, Imperfect competition: monopoly and monopsony, Monopolistic competition, Competition among the few: oligopoly). - V. K. Borooah: Theory of the Household (The equilibrium of the consumer, Indirect utility and the expenditure function, The Slutsky equation, Properties of the demand functions, Relationships between commodities, Market demand, Revealed preference, The linear expenditure system). - C. Weddepohl: General Equilibrium Theory (An exchange economy, Preferences, Existence of equilibrium in an exchange economy, An economy with production, An abstract economy). - B. Lockwood: Social Choice, Interpersonal Comparability and Welfare Economics (Non-comparability and dictatorship, Arrow’s Impossibility Theorem, Positional dictatorship and the maximin social welfare function, Utilitarianism and beyond, Single-profile social choice). - S. M. Ravi Kanbur: The Measurement and Decomposition of Inequality and Poverty (Positive measurement: inequality as statistical dispersion, Normative measurement: the Social Welfare Function approach, Criteria for inequality measures, Decomposition of inequality, Measurement of poverty). - J. D. Hey: Decision Under Uncertainty (Subjective Expected Utility theory, Some economic applications). - S. Vajda: Actuarial Mathematics. - D. Livesey: Aspects of the New Urban Economics (Urban land rents, The optimal allocation of suburban land for transport and residential use, Industrial and business location). - D. M. Newbery: The Economics of Oil.

MSC:

91B60 Trade models
91B14 Social choice
91B38 Production theory, theory of the firm
91B10 Group preferences
91B82 Statistical methods; economic indices and measures
00Bxx Conference proceedings and collections of articles
91B50 General equilibrium theory
91-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to game theory, economics, and finance
91B24 Microeconomic theory (price theory and economic markets)
91B62 Economic growth models
91B66 Multisectoral models in economics
62P05 Applications of statistics to actuarial sciences and financial mathematics
91-06 Proceedings, conferences, collections, etc. pertaining to game theory, economics, and finance
91B76 Environmental economics (natural resource models, harvesting, pollution, etc.)